Question

Мама оставила сыну на два дня несколько яблок.В первый день он съел половину всех яблок и ещё пол яблока.Во второй день он съел половину оставшихся яблок и ещё пол яблока.После этого у него осталось одно яблоко.Сколько яблок мама оставила сыну?Сколько яблок он съел в первый день?

Answer 1

Мама сыну оставила 7 яблок.

Answer 2

Problem Analysis

The problem states that a mother left her son with several apples for two days. On the first day, the son ate half of all the apples and an additional half of an apple. On the second day, he ate half of the remaining apples and another half of an apple. After that, he had one apple left. We need to determine how many apples the mother left for her son and how many apples he ate on the first day.

Solution

Let's assume that the mother left x apples for her son.

On the first day, the son ate half of all the apples and an additional half of an apple. So, he ate (x/2) + 0.5 apples.

On the second day, the son ate half of the remaining apples and another half of an apple. After that, he had one apple left. So, the equation becomes:

(x - (x/2) - 0.5)/2 + 0.5 = 1

Simplifying the equation:

(x/2 - 0.5)/2 + 0.5 = 1

Multiplying both sides by 2:

x/2 - 0.5 + 1 = 2

Simplifying further:

x/2 + 0.5 = 2

Subtracting 0.5 from both sides:

x/2 = 1.5

Multiplying both sides by 2:

x = 3

Therefore, the mother left 3 apples for her son.

On the first day, the son ate (3/2) + 0.5 = 2 apples.

Answer

The mother left her son with 3 apples. The son ate 2 apples on the first day.