
1 Петя и Вася выпили по 6 стаканов сока и заплатили за это одинаковую сумму денег. Известно, что
один стакан яблочного сока стоит 2рубля 50 копеек, клубничного – 5 рублей, а апельсинового – 7руб. 50 коп. Петя выпил апельсинового сока столько, сколько Вася клубничного, клубничного столько, сколько тот яблочного, а яблочного столько, сколько тот апельсинового. Найдите, сколько стаканов апельсинового сока выпил Вася.

Ответы на вопрос




Problem Analysis
We are given that Petya and Vasya each drank 6 glasses of juice and paid the same amount of money. The cost of one glass of apple juice is 2 rubles and 50 kopecks, strawberry juice is 5 rubles, and orange juice is 7 rubles and 50 kopecks. Petya drank as much orange juice as Vasya drank strawberry juice, Vasya drank as much strawberry juice as Petya drank apple juice, and Petya drank as much apple juice as Vasya drank orange juice. We need to find out how many glasses of orange juice Vasya drank.Solution
Let's solve this problem step by step.1. Let's assume that Vasya drank x glasses of orange juice. 2. According to the given information, Petya drank x glasses of apple juice. 3. Vasya drank the same amount of strawberry juice as Petya drank apple juice, so Vasya also drank x glasses of strawberry juice. 4. Petya drank the same amount of orange juice as Vasya drank strawberry juice, so Petya also drank x glasses of orange juice.
Now, we can calculate the total cost for each person.
- Petya's total cost = (x glasses of apple juice * cost of one glass of apple juice) + (x glasses of orange juice * cost of one glass of orange juice) - Vasya's total cost = (x glasses of strawberry juice * cost of one glass of strawberry juice) + (x glasses of orange juice * cost of one glass of orange juice)
Since both Petya and Vasya paid the same amount, we can equate their total costs and solve for x.
Let's calculate the total costs for Petya and Vasya using the given prices:
- Petya's total cost = (x * 2.50) + (x * 7.50) = 10x - Vasya's total cost = (x * 5) + (x * 7.50) = 12.50x
Since both Petya and Vasya paid the same amount, we can equate their total costs:
10x = 12.50x
Solving this equation, we find:
2.50x = 0
Since the equation has no solution, it means that there is no value of x that satisfies the given conditions. Therefore, there is no solution to this problem.
Conclusion: There is no solution to the problem. Vasya did not drink any glasses of orange juice.
Note: The provided search results did not provide any relevant information for solving this problem.


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