Question

В корзине были яблоки. Сначала из неё взяли половину яблок, затем 1/3 оставшихся яблок и ещё 4 яблока, после чего осталось 12 яблок. Сколько яблок было в корзине??

Answer 1

Пусть в корзине было Х яблок, тогда сначала взяли (Х÷2) яблок, затем (Х÷2)÷3.
Составим уравнение:
Х÷2 - (Х÷2)÷3 - 4 = 12
Х÷2 - Х÷6 - 4 = 12
3/6Х-1/6Х-4=12
2/6Х=12+4
2/6Х=16
Х=16×6÷2
Х=48
Ответ: в корзине было 48 яблок.

Answer 2

Problem Analysis

We are given that there were apples in a basket. First, half of the apples were taken out, then one-third of the remaining apples were taken out, and finally, 4 more apples were taken out. After these steps, there were 12 apples left in the basket. We need to determine the initial number of apples in the basket.

Solution

Let's solve this problem step by step.

1. Let's assume the initial number of apples in the basket is x. 2. After taking out half of the apples, we have x/2 apples remaining. 3. Then, one-third of the remaining apples are taken out, which is (1/3) * (x/2) = x/6 apples. 4. After that, 4 more apples are taken out, so we have (x/2) - (x/6) - 4 apples remaining. 5. According to the problem, the remaining number of apples is 12, so we can set up the equation: ``` (x/2) - (x/6) - 4 = 12 ```

Let's solve this equation to find the value of x.

Calculation

``` (x/2) - (x/6) - 4 = 12 Multiply the equation by 6 to eliminate the denominators: 3x - x - 24 = 72 2x - 24 = 72 2x = 96 x = 48 ```

Answer

The initial number of apples in the basket was 48.

Verification

Let's verify our answer using the given information: - Half of 48 is 24. - One-third of 24 is 8. - 24 - 8 - 4 = 12.

Our answer is consistent with the given information, so we can conclude that the initial number of apples in the basket was indeed 48.