Question

7. После того, как 8 новых клиентов вошли в продуктовый магазин и 2 клиента покинули магазин, в магазине было в три раза больше клиентов, чем раньше. Сколько клиентов изначально было в продуктовом магазине?

Answer 1

Ответ: первоначально в магазине было 3 клиента.

Пошаговое объяснение:

Пусть в магазине было х клиентов. После того как вошли еще 8 клиентов, а 2 клиента ушли, в магазине клиентов стало х + 8 - 2 = х + 6. Т.к. их стало в 3 раза больше, чем первоначально, то составим и решим уравнение:

х + 6 = 3х,

3х - х = 6,

2х = 6,

х = 3.

Значит, первоначально в магазине было 3 клиента.

Answer 2

Problem Analysis

We are given the information that after 8 new customers entered a grocery store and 2 customers left, the number of customers in the store became three times what it was before. We need to determine the initial number of customers in the store.

Solution

Let's assume the initial number of customers in the store is x.

According to the given information, after 8 new customers entered the store, the number of customers became x + 8. Then, 2 customers left, resulting in x + 8 - 2 customers remaining in the store.

We are also told that the number of customers in the store after these changes is three times what it was before. Therefore, we can write the equation:

x + 8 - 2 = 3x

Simplifying the equation:

x + 6 = 3x

Subtracting x from both sides:

6 = 2x

Dividing both sides by 2:

x = 3

Therefore, the initial number of customers in the grocery store was 3.

Answer

The initial number of customers in the grocery store was 3.