Chers finalistes, préparez-vous pour le grand jour avec nos contenus !

Des items de toutes les options taillés sur mesure pour que vous prépariez mieux vos épreuves

Start learning
LE CALCUL DU PRIX D'ACHAT
Domaine Science Sous domaine Mathématiques
Section Primaire Option Primaire
Discipline Problèmes Classe 4ème
Matériel didactique Craies de couleur Auteur SCHOOLAP.COM
Objectif opérationnel A l'issue de la leçon, l'élève sera capable de calculer le prix d'achat
Réference cfr PM 4, pg69
Activité initiale

1.REVISION: comment appelle-t-on l'argent qu'on utilise pour acheter la marchandise? 

2.MATIVATION: quels sont les prix commerciaux ?

3. ANNONCE: nous allons étudier aujourd'hui, le calcul du prix d'achat.

4. RAPPEL DE L'OBJ. D'APPR:

l'argent avec lequel on achète la marchandise s'appelle le prix d'achat.

les prix commerciaux sont :

  • le prix d'achat,
  • le prix de vente,
  • le gain ou le bénéfice.

A la fin de  la leçon, je serai capable de calculer et trouver le prix d'achat 

Activité principale

ANALYSE: Présentation 

Mon oncle vent une radio à 98.700fc il gagne 9.600fc., calculez le prix d'achat?

Que devons-nous faire ? 

qu'est-ce qu'on nous a donné? 

 

Qu'est-ce que nous cherchons ?

Qu'allons-nous faire 

comment avons-nous fait?

 

Mon oncle vend une radio à 98700fc il gagne 9600fc 

calculez le prix d'achat 

nous devons chercher les données 

Données                                         Inconnue                  

PV= 98700fc                                   PA=?                       

B= 9600

Solution : PA= 98700fc - 9600fc =89100fc

Synthèse

SYNTHESE: Quelle est la formule pour trouver le calcul du prix d'achat?

essai : un commerçant vend une télévision à 207.000fc,il gagne 13.700fc calculez le prix d'achat.

APPLICATION: en revendant une radio à 150.000fc, mon frère réalise un bénéfice de 16000fc 

quel est son prix d'achat?

Formule:  P.A=PV-B

Données                                         Inconnue                  Formule:      

PV= 207.000fc                                   PA=?                     P.A=PV-B

B=13.700fc

Solution : PA= 207.000fc - 13700fc =193.300fc

TRAVAIL INDIVIDUEL 

Données                                         Inconnue                  Formule:      

PV= 150.000fc                                   B=?                     P.A=PV-B

B=16000c

Solution : PA= 150.000fc- 16000fc =134.000fc

8.1.28PHP Version278msRequest Duration5MBMemory UsageGET fiches/{id}/{slug}Route
    • Booting (39.61ms)
    • Application (238ms)
    • 1 x Application (85.7%)
      238.02ms
      1 x Booting (14.26%)
      39.61ms
      7 templates were rendered
      • public.fiches.show (resources/views/public/fiches/show.blade.php)2bladefile
        Params
        0
        post
        1
        posts
      • components.banner-page (resources/views/components/banner-page.blade.php)7bladefile
        Params
        0
        property
        1
        firstTitle
        2
        secondTitle
        3
        src
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.ad-card-lesson-long (resources/views/components/ad-card-lesson-long.blade.php)7bladefile
        Params
        0
        summary
        1
        title
        2
        actionLink
        3
        actionText
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.button-link (resources/views/components/button-link.blade.php)6bladefile
        Params
        0
        class
        1
        title
        2
        href
        3
        attributes
        4
        slot
        5
        __laravel_slots
      • layouts.public (resources/views/layouts/public.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        posts
        5
        component
        6
        __currentLoopData
        7
        post_
        8
        loop
        9
        content
      • layouts.include.public.header (resources/views/layouts/include/public/header.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        posts
        5
        component
        6
        __currentLoopData
        7
        post_
        8
        loop
        9
        content
      • layouts.include.public.footer (resources/views/layouts/include/public/footer.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        posts
        5
        component
        6
        __currentLoopData
        7
        post_
        8
        loop
        9
        content
      uri
      GET fiches/{id}/{slug}
      middleware
      web
      controller
      App\Http\Controllers\Public\FicheController@show
      as
      public.fiche.show
      namespace
      prefix
      /fiches
      where
      file
      app/Http/Controllers/Public/FicheController.php:46-73
      14 statements were executed203ms
      • select * from `oldt_posts` where `oldt_posts`.`id` = '6626' limit 1
        2.27ms/app/Repositories/PostRepository.php:39schoolap
        Metadata
        Bindings
        • 0. 6626
        Backtrace
        • 19. /app/Repositories/PostRepository.php:39
        • 20. /app/Http/Controllers/Public/FicheController.php:48
        • 21. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `lessons` where (`post_id` = 6626) and `lessons`.`deleted_at` is null limit 1
        1.02ms/app/Http/Controllers/Public/FicheController.php:52schoolap
        Metadata
        Bindings
        • 0. 6626
        Backtrace
        • 15. /app/Http/Controllers/Public/FicheController.php:52
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • update `lessons` set `count_view` = `count_view` + 1, `lessons`.`updated_at` = '2025-05-06 22:02:13' where `id` = 6382 and `lessons`.`deleted_at` is null
        4.57ms/app/Http/Controllers/Public/FicheController.php:55schoolap
        Metadata
        Bindings
        • 0. 2025-05-06 22:02:13
        • 1. 6382
        Backtrace
        • 16. /app/Http/Controllers/Public/FicheController.php:55
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `oldt_posts` where `published` = 1 order by RAND() limit 4
        62.23ms/app/Http/Controllers/Public/FicheController.php:61schoolap
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 14. /app/Http/Controllers/Public/FicheController.php:61
        • 15. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `oldt_material_sheets` where `oldt_material_sheets`.`id` = 6240 limit 1
        900μsview::public.fiches.show:7schoolap
        Metadata
        Bindings
        • 0. 6240
        Backtrace
        • 20. view::public.fiches.show:7
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_grades` where `oldt_grades`.`id` = 4 and `oldt_grades`.`id` is not null limit 1
        770μsview::public.fiches.show:15schoolap
        Metadata
        Bindings
        • 0. 4
        Backtrace
        • 20. view::public.fiches.show:15
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_options` where `oldt_options`.`id` = 13 limit 1
        670μsview::public.fiches.show:15schoolap
        Metadata
        Bindings
        • 0. 13
        Backtrace
        • 20. view::public.fiches.show:15
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_disciplines` where `oldt_disciplines`.`id` = 67 limit 1
        720μsview::public.fiches.show:15schoolap
        Metadata
        Bindings
        • 0. 67
        Backtrace
        • 20. view::public.fiches.show:15
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_sub_domains` where `oldt_sub_domains`.`id` = 1 and `oldt_sub_domains`.`id` is not null limit 1
        700μsview::public.fiches.show:120schoolap
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 20. view::public.fiches.show:120
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_domains` where `oldt_domains`.`id` = 1 and `oldt_domains`.`id` is not null limit 1
        480μsview::public.fiches.show:120schoolap
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 20. view::public.fiches.show:120
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_sections` where `oldt_sections`.`id` = 2 limit 1
        490μsview::public.fiches.show:136schoolap
        Metadata
        Bindings
        • 0. 2
        Backtrace
        • 20. view::public.fiches.show:136
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_material_sheet_contents` where `material_sheet_id` = 6240 and `activity` = 0
        45.78ms/app/Models/Old/MaterialSheet.php:73schoolap
        Metadata
        Bindings
        • 0. 6240
        • 1. 0
        Backtrace
        • 14. /app/Models/Old/MaterialSheet.php:73
        • 15. view::public.fiches.show:191
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `oldt_material_sheet_contents` where `material_sheet_id` = 6240 and `activity` = 1
        42.5ms/app/Models/Old/MaterialSheet.php:73schoolap
        Metadata
        Bindings
        • 0. 6240
        • 1. 1
        Backtrace
        • 14. /app/Models/Old/MaterialSheet.php:73
        • 15. view::public.fiches.show:203
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `oldt_material_sheet_contents` where `material_sheet_id` = 6240 and `activity` = 2
        40.14ms/app/Models/Old/MaterialSheet.php:73schoolap
        Metadata
        Bindings
        • 0. 6240
        • 1. 2
        Backtrace
        • 14. /app/Models/Old/MaterialSheet.php:73
        • 15. view::public.fiches.show:214
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      App\Models\Old\MaterialSheetContent
      3
      App\Models\Old\Section
      1
      App\Models\Old\Domain
      1
      App\Models\Old\SubDomain
      1
      App\Models\Old\Discipline
      1
      App\Models\Old\Option
      1
      App\Models\Old\Grade
      1
      App\Models\Old\MaterialSheet
      1
      App\Models\Lesson\Lesson
      1
      App\Models\Old\Post
      5
        _token
        vQZFYz9iq6WbcgXArfJ4ceK2cPyvE60rAkP4w5NQ
        applocale
        en
        _previous
        array:1 [ "url" => "https://s8.schoolap.com/fiches/6626/le-calcul-du-prix-dachat" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /fiches/6626/le-calcul-du-prix-dachat
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:17 [ "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "connection" => array:1 [ 0 => "keep-alive" ] "host" => array:1 [ 0 => "s8.schoolap.com" ] "content-length" => array:1 [ 0 => "" ] "content-type" => array:1 [ 0 => "" ] ]
        request_server
        0 of 0
        array:41 [ "USER" => "www-data" "HOME" => "/var/www" "HTTP_ACCEPT_ENCODING" => "gzip, deflate, br, zstd" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_CONNECTION" => "keep-alive" "HTTP_HOST" => "s8.schoolap.com" "REDIRECT_STATUS" => "200" "SERVER_NAME" => "s8.schoolap.com" "SERVER_PORT" => "443" "SERVER_ADDR" => "188.166.147.66" "REMOTE_PORT" => "59383" "REMOTE_ADDR" => "3.139.66.158" "SERVER_SOFTWARE" => "nginx/1.18.0" "GATEWAY_INTERFACE" => "CGI/1.1" "HTTPS" => "on" "REQUEST_SCHEME" => "https" "SERVER_PROTOCOL" => "HTTP/1.1" "DOCUMENT_ROOT" => "/var/www/s8.schoolap.com/public" "DOCUMENT_URI" => "/index.php" "REQUEST_URI" => "/fiches/6626/le-calcul-du-prix-dachat" "SCRIPT_NAME" => "/index.php" "CONTENT_LENGTH" => "" "CONTENT_TYPE" => "" "REQUEST_METHOD" => "GET" "QUERY_STRING" => "" "SCRIPT_FILENAME" => "/var/www/s8.schoolap.com/public/index.php" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/index.php" "REQUEST_TIME_FLOAT" => 1746568933.0457 "REQUEST_TIME" => 1746568933 ]
        request_cookies
        []
        
        response_headers
        0 of 0
        array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Tue, 06 May 2025 22:02:13 GMT" ] "set-cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6InI5SDZuOGZWOGd1bG9QdmFyQzQ4R2c9PSIsInZhbHVlIjoiUUVieFErNkRqc3MzUXFRT0trMUd3YmxTY0hHeXpiMHNsYnUyWlNZNE1CVnBCU0NyaGFDczlCZjM1TnV3YkJVVCIsIm1hYyI6ImJlNjlkOWNkZjRhMWM3OTgyY2NlZjFkZTdhYzExOWQwM2VkMzY2YTU2MDc0ZWRjNDEzZGExZWVjOTg0ZGM5ZWIiLCJ0YWciOiIifQ%3D%3D; expires=Tue, 13 May 2025 20:42:13 GMT; Max-Age=600000; path=/; httponly; samesite=laxlang_schoolap=eyJpdiI6InI5SDZuOGZWOGd1bG9QdmFyQzQ4R2c9PSIsInZhbHVlIjoiUUVieFErNkRqc3MzUXFRT0trMUd3YmxTY0hHeXpiMHNsYnUyWlNZNE1CVnBCU0NyaGFDczlCZjM1TnV3YkJVVCIsIm" 1 => "XSRF-TOKEN=eyJpdiI6InNjdWY1QmZWR2YvcUFpQ0ZiQkswVFE9PSIsInZhbHVlIjoieUFnRHM1SGRSVldxaGZFTkJNRU12VThjSFpDMm9jMWhVaEVqVDZXNFd5YS96UXBBOWRwajc0MzhPcEhhaEM4c0RHMk5IVktSS2RiZExvd2E4aHRkcFE4VmNiNnlLanRnOXlOV2JpUklPdEtscGdXRWpZMXM4WnNjN1hhS0hpRUEiLCJtYWMiOiJhZDZjNTZlZGJhYTJiOTJiZTBmYWQ1YmU0ZDU3ODExZDA5NGM5M2RkNjk4OGE1YWExODNjYzBkZTFhMGU1N2FkIiwidGFnIjoiIn0%3D; expires=Wed, 07 May 2025 00:02:13 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6InNjdWY1QmZWR2YvcUFpQ0ZiQkswVFE9PSIsInZhbHVlIjoieUFnRHM1SGRSVldxaGZFTkJNRU12VThjSFpDMm9jMWhVaEVqVDZXNFd5YS96UXBBOWRwajc0MzhPcEhhaEM4c0RHMk5IV" 2 => "schoolap_session=eyJpdiI6IkVOWi9rc1VUaE9Yb3Bzay9kRzRxdmc9PSIsInZhbHVlIjoibFJXWlpJMU5BRGVqK0VBa0dHV3YzMk16bkVKaEh4RU1zdE5Ma09ZYUJZb3JZUTd4dVVoOHllZ1NpZlZyZ3NmQ3o1NDlRbUhrZ1JpaGlVa2hXdGtwNjdBYkMyQ29nRXBhMVlJN0YxYWVUNWp4L2RIanc0QUpVOWVPKzJ6ZUEwZkQiLCJtYWMiOiIyOWVjNjQ2YWJiNWRiZmI0ODhiZWNhYjE4MDY1ZTE1NzgyYWQ0OThjZmQyYjFkODZkZjc1MzZlYmM0MzlhYTdlIiwidGFnIjoiIn0%3D; expires=Wed, 07 May 2025 00:02:13 GMT; Max-Age=7200; path=/; httponly; samesite=laxschoolap_session=eyJpdiI6IkVOWi9rc1VUaE9Yb3Bzay9kRzRxdmc9PSIsInZhbHVlIjoibFJXWlpJMU5BRGVqK0VBa0dHV3YzMk16bkVKaEh4RU1zdE5Ma09ZYUJZb3JZUTd4dVVoOHllZ1NpZlZyZ3NmQ3o" ] "Set-Cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6InI5SDZuOGZWOGd1bG9QdmFyQzQ4R2c9PSIsInZhbHVlIjoiUUVieFErNkRqc3MzUXFRT0trMUd3YmxTY0hHeXpiMHNsYnUyWlNZNE1CVnBCU0NyaGFDczlCZjM1TnV3YkJVVCIsIm1hYyI6ImJlNjlkOWNkZjRhMWM3OTgyY2NlZjFkZTdhYzExOWQwM2VkMzY2YTU2MDc0ZWRjNDEzZGExZWVjOTg0ZGM5ZWIiLCJ0YWciOiIifQ%3D%3D; expires=Tue, 13-May-2025 20:42:13 GMT; path=/; httponlylang_schoolap=eyJpdiI6InI5SDZuOGZWOGd1bG9QdmFyQzQ4R2c9PSIsInZhbHVlIjoiUUVieFErNkRqc3MzUXFRT0trMUd3YmxTY0hHeXpiMHNsYnUyWlNZNE1CVnBCU0NyaGFDczlCZjM1TnV3YkJVVCIsIm" 1 => "XSRF-TOKEN=eyJpdiI6InNjdWY1QmZWR2YvcUFpQ0ZiQkswVFE9PSIsInZhbHVlIjoieUFnRHM1SGRSVldxaGZFTkJNRU12VThjSFpDMm9jMWhVaEVqVDZXNFd5YS96UXBBOWRwajc0MzhPcEhhaEM4c0RHMk5IVktSS2RiZExvd2E4aHRkcFE4VmNiNnlLanRnOXlOV2JpUklPdEtscGdXRWpZMXM4WnNjN1hhS0hpRUEiLCJtYWMiOiJhZDZjNTZlZGJhYTJiOTJiZTBmYWQ1YmU0ZDU3ODExZDA5NGM5M2RkNjk4OGE1YWExODNjYzBkZTFhMGU1N2FkIiwidGFnIjoiIn0%3D; expires=Wed, 07-May-2025 00:02:13 GMT; path=/XSRF-TOKEN=eyJpdiI6InNjdWY1QmZWR2YvcUFpQ0ZiQkswVFE9PSIsInZhbHVlIjoieUFnRHM1SGRSVldxaGZFTkJNRU12VThjSFpDMm9jMWhVaEVqVDZXNFd5YS96UXBBOWRwajc0MzhPcEhhaEM4c0RHMk5IV" 2 => "schoolap_session=eyJpdiI6IkVOWi9rc1VUaE9Yb3Bzay9kRzRxdmc9PSIsInZhbHVlIjoibFJXWlpJMU5BRGVqK0VBa0dHV3YzMk16bkVKaEh4RU1zdE5Ma09ZYUJZb3JZUTd4dVVoOHllZ1NpZlZyZ3NmQ3o1NDlRbUhrZ1JpaGlVa2hXdGtwNjdBYkMyQ29nRXBhMVlJN0YxYWVUNWp4L2RIanc0QUpVOWVPKzJ6ZUEwZkQiLCJtYWMiOiIyOWVjNjQ2YWJiNWRiZmI0ODhiZWNhYjE4MDY1ZTE1NzgyYWQ0OThjZmQyYjFkODZkZjc1MzZlYmM0MzlhYTdlIiwidGFnIjoiIn0%3D; expires=Wed, 07-May-2025 00:02:13 GMT; path=/; httponlyschoolap_session=eyJpdiI6IkVOWi9rc1VUaE9Yb3Bzay9kRzRxdmc9PSIsInZhbHVlIjoibFJXWlpJMU5BRGVqK0VBa0dHV3YzMk16bkVKaEh4RU1zdE5Ma09ZYUJZb3JZUTd4dVVoOHllZ1NpZlZyZ3NmQ3o" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "vQZFYz9iq6WbcgXArfJ4ceK2cPyvE60rAkP4w5NQ" "applocale" => "en" "_previous" => array:1 [ "url" => "https://s8.schoolap.com/fiches/6626/le-calcul-du-prix-dachat" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]