Question

У хозяйки в трёх корзинах лежало 95 огурцов. Когда из первой корзины она взяла 23 огурца, а из второй - на 14 огурцов меньше, то в трёх корзинах огурцов осталось поровну. Сколько огурцов было в каждой корзине первоначально?

Answer 1

Problem Analysis

We are given that a homeowner had 95 cucumbers in three baskets. From the first basket, she took 23 cucumbers, and from the second basket, she took 14 cucumbers less than the first basket. After taking cucumbers from both baskets, the remaining cucumbers were distributed equally among the three baskets. We need to determine the initial number of cucumbers in each basket.

Solution

Let's assume the initial number of cucumbers in the first basket is x.

According to the problem, the homeowner took 23 cucumbers from the first basket. Therefore, the number of cucumbers remaining in the first basket is x - 23.

The homeowner also took 14 cucumbers less than the first basket from the second basket. So, the initial number of cucumbers in the second basket is x - 14.

After taking cucumbers from both baskets, the remaining cucumbers were distributed equally among the three baskets. This means that the number of cucumbers in each basket is the same.

To find the initial number of cucumbers in each basket, we can set up the following equation:

(x - 23) + (x - 14) + x = 95

Simplifying the equation, we get:

3x - 37 = 95

Solving for x, we find:

3x = 132

x = 44

Therefore, the initial number of cucumbers in each basket was 44.

Answer

The initial number of cucumbers in each basket was 44.