Question

Маша и Катя купили по одинаковой коробке чая в пакетиках. Известно, что одного пакетика хватает на две или три чашки чая. Этой коробки Маше хватило на 37 чашек чая, а Кате – на 52. Сколько пакетиков было в коробке?

Answer 1

35.25 37:2=18.5
52:2=26
( 26+18.5):2=35.25

Answer 2

Problem Analysis

Маша и Катя купили по одинаковой коробке чая в пакетиках. Известно, что одного пакетика хватает на две или три чашки чая. Этой коробки Маше хватило на 37 чашек чая, а Кате – на 52. Нужно определить, сколько пакетиков было в коробке.

Solution

Let's assume that there were x tea bags in the box.

According to the information given, one tea bag is enough for two or three cups of tea. Let's consider the scenario where each tea bag is used for two cups of tea.

If each tea bag is used for two cups of tea, then the total number of cups of tea that can be made from x tea bags is 2x.

We are given that Masha used the tea bags from the box to make 37 cups of tea, so we can set up the equation:

2x = 37

Solving this equation, we find that x = 37/2 = 18.5.

However, since we cannot have a fraction of a tea bag, we need to consider the scenario where each tea bag is used for three cups of tea.

If each tea bag is used for three cups of tea, then the total number of cups of tea that can be made from x tea bags is 3x.

We are given that Katya used the tea bags from the box to make 52 cups of tea, so we can set up the equation:

3x = 52

Solving this equation, we find that x = 52/3 = 17.33.

Again, since we cannot have a fraction of a tea bag, we need to consider the scenario where each tea bag is used for two cups of tea.

Therefore, the number of tea bags in the box is 18.

Answer

There were 18 tea bags in the box.