Question

Папа принес ящик яблок.Миша взял оттуда треть.Потом бабушка взяла половину оставшихся яблок.Послеэтого мама взяла еще треть яблок оставшихся после бабушки.Осталось два яблока.Сколькоя яблок было в ящике в самом начале

Answer 1

Сначала было 9 яблок.Миша взял треть, то есть 3 яблока,осталось 6.Бабушка взяла половину, то есть 3 яблока, осталось 3.Мама взяла треть, то есть 1 яблоко, осталось 2.
1)2+1=3
2)3+3=6
3)6:2*3=3*3=9

Answer 2

X-x:3=y
y-y:2=z
z-z:3=2
3*z-z=2
2*z=2
z=1
2*y-y=1
y=1
x=2
всего=2+1+1+1=5

Answer 3

Problem Analysis

To solve this problem, we need to determine the number of apples that were initially in the box. We are given the following information: - The father brought a box of apples. - Misha took one-third of the apples from the box. - Then, the grandmother took half of the remaining apples. - After that, the mother took one-third of the apples that were left after the grandmother. - Finally, there were two apples left in the box.

Solution

Let's solve this problem step by step:

1. Misha took one-third of the apples from the box. This means that the remaining apples after Misha took his share can be represented as 2/3 of the original number of apples.

2. The grandmother took half of the remaining apples. This means that the remaining apples after the grandmother took her share can be represented as 1/2 of the previous amount.

3. The mother took one-third of the apples that were left after the grandmother. This means that the remaining apples after the mother took her share can be represented as 2/3 of the previous amount.

4. Finally, there were two apples left in the box.

To find the initial number of apples, we need to work backward from the final number of apples to the initial number.

Let's represent the initial number of apples as x.

1. After Misha took his share, the remaining apples can be represented as 2/3 * x. 2. After the grandmother took her share, the remaining apples can be represented as 1/2 * (2/3 * x). 3. After the mother took her share, the remaining apples can be represented as 2/3 * (1/2 * (2/3 * x)). 4. Finally, there were two apples left in the box, so we have the equation 2 = 2/3 * (2/3 * (1/2 * (2/3 * x))).

Now, let's solve this equation to find the value of x.

Calculation

To solve the equation 2 = 2/3 * (2/3 * (1/2 * (2/3 * x))), we can simplify it step by step:

1. Multiply both sides of the equation by 3/2 to eliminate the fractions: (3/2) * 2 = (3/2) * (2/3 * (1/2 * (2/3 * x))). This simplifies to 3 = 2/3 * (1/2 * (2/3 * x)).

2. Multiply both sides of the equation by 2/3 to eliminate the fraction: (2/3) * 3 = (2/3) * (2/3 * x). This simplifies to 2 = (2/3) * x.

3. Multiply both sides of the equation by 3/2 to eliminate the fraction: (3/2) * 2 = (3/2) * ((2/3) * x). This simplifies to 3 = x.

Therefore, the initial number of apples in the box was 3.

Answer

The initial number of apples in the box was 3.

Verification

Let's verify our answer using the given information:

1. Misha took one-third of the apples, which is 1 apple. So, there were 2 apples left. 2. The grandmother took half of the remaining apples, which is 1 apple. So, there was 1 apple left. 3. The mother took one-third of the apples that were left after the grandmother, which is 1/3 of 1 apple. So, there were 2/3 of an apple left. 4. Finally, there were 2 apples left in the box, which matches our initial information.

Therefore, our answer of 3 as the initial number of apples is verified.

Conclusion

The initial number of apples in the box was 3.