Виталик и максим купили по одной коробки чая в пакетах. Известно, что одного пакетика хватает на
две или три чашки чая .Максиму хватило коробки на 41 чашку, Виталику на58..Сколько пакетиков было в коробке?Ответы на вопрос
Problem Analysis
Vitalik and Maxim bought one box of tea bags each. It is known that one tea bag is enough for two or three cups of tea. Maxim used the entire box and made 41 cups of tea, while Vitalik made 58 cups of tea with his box. We need to determine how many tea bags were in each box.Solution
Let's assume that there were x tea bags in Maxim's box and y tea bags in Vitalik's box.According to the given information, one tea bag is enough for two or three cups of tea. Let's consider the minimum and maximum number of cups of tea that can be made with the tea bags in each box.
For Maxim's box: - The minimum number of cups of tea that can be made is 2 * x (assuming each tea bag is used for two cups). - The maximum number of cups of tea that can be made is 3 * x (assuming each tea bag is used for three cups).
For Vitalik's box: - The minimum number of cups of tea that can be made is 2 * y. - The maximum number of cups of tea that can be made is 3 * y.
We are given that Maxim made 41 cups of tea and Vitalik made 58 cups of tea. Therefore, we can set up the following equations:
2 * x = 41 (equation 1) 2 * y = 58 (equation 2)
Solving these equations will give us the values of x and y, which represent the number of tea bags in each box.
Solving the Equations
Let's solve the equations to find the values of x and y.From equation 1, we have: 2 * x = 41 Dividing both sides by 2: x = 41 / 2 x = 20.5
From equation 2, we have: 2 * y = 58 Dividing both sides by 2: y = 58 / 2 y = 29
Since the number of tea bags must be a whole number, we can conclude that there were 20 tea bags in Maxim's box and 29 tea bags in Vitalik's box.
Answer
Therefore, there were 20 tea bags in Maxim's box and 29 tea bags in Vitalik's box.Топ вопросов за вчера в категории Математика
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