Question

На столе лежала коробка с конфетами. Саша взял оттуда половину, потом половину оставшихся конфет взял Илья. Затем Таня взяла половину того, что там было. После этого осталось 3 конфеты. Сколько конфет было в коробке вначале? Ответ запиши числом.

Answer 1

24 конфеты так как 3+3=6+6=12+12=24

Answer 2

Problem Analysis

We are given the following information: - There was a box of candies on the table. - Sasha took half of the candies from the box. - Ilya took half of the remaining candies. - Tanya took half of what was left. - After Tanya took her share, there were 3 candies left in the box.

We need to determine the initial number of candies in the box.

Solution

Let's work through the problem step by step:

1. Sasha took half of the candies from the box. This means that the number of candies remaining in the box after Sasha took his share is equal to half of the initial number of candies. 2. Ilya took half of the remaining candies. This means that the number of candies remaining in the box after Ilya took his share is equal to half of the number of candies Sasha left. 3. Tanya took half of what was left. This means that the number of candies remaining in the box after Tanya took her share is equal to half of the number of candies Ilya left. 4. After Tanya took her share, there were 3 candies left in the box.

Let's represent the initial number of candies in the box as x.

1. Sasha took half of the candies, so the number of candies remaining is x/2. 2. Ilya took half of the remaining candies, so the number of candies remaining is (x/2)/2 = x/4. 3. Tanya took half of what was left, so the number of candies remaining is (x/4)/2 = x/8. 4. After Tanya took her share, there were 3 candies left in the box, so x/8 = 3.

To find the initial number of candies in the box (x), we can solve the equation x/8 = 3.

Calculation

To solve the equation x/8 = 3, we can multiply both sides of the equation by 8 to isolate x:

x = 3 * 8 = 24

Therefore, the initial number of candies in the box was 24.

Answer

The initial number of candies in the box was 24.