Question

Бабушка украсила четвертую часть всех пирожных шоколадом.Половину от остальных пирожных она украсила орехами.И еще 9 пирожных взбитыми сливками.Сколько всего пирожных испекла бабушка?

Answer 1

Пусть все пирожные это у, тогда (у-1/4)-((у-1/4)/2)=9
9 это половина, значит орехи это вторая половина, то есть тоже 9, тогда 3/4 это 18, 18:3*4=24
Ответ: 24 пирожка испекла бабушка

Answer 2

Problem Analysis

To solve this problem, we need to determine the total number of pastries that the grandmother baked. We are given the following information:

- The grandmother decorated one-fourth of all the pastries with chocolate. - She decorated half of the remaining pastries with nuts. - She also decorated 9 pastries with whipped cream.

We need to calculate the total number of pastries baked by the grandmother.

Solution

Let's break down the problem step by step:

1. The grandmother decorated one-fourth of all the pastries with chocolate. This means that three-fourths of the pastries remain undecorated with chocolate. 2. She decorated half of the remaining pastries with nuts. This means that the other half of the remaining pastries remain undecorated with nuts. 3. She also decorated 9 pastries with whipped cream.

To find the total number of pastries, we need to calculate the number of pastries that were decorated with chocolate, nuts, and whipped cream, and then add them together.

Let's denote the total number of pastries as "x."

1. The grandmother decorated one-fourth of all the pastries with chocolate. This means that three-fourths of the pastries remain undecorated with chocolate. Therefore, the number of pastries decorated with chocolate is (1/4)x.

2. She decorated half of the remaining pastries with nuts. This means that the other half of the remaining pastries remain undecorated with nuts. Therefore, the number of pastries decorated with nuts is (1/2) * (3/4)x.

3. She also decorated 9 pastries with whipped cream.

Now, we can set up an equation to find the total number of pastries:

(1/4)x + (1/2) * (3/4)x + 9 = x

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

(1/4)x + (3/8)x + 9 = x

Multiplying through by 8 to eliminate the fractions:

2x + 3x + 72 = 8x

Combining like terms:

5x + 72 = 8x

Subtracting 5x from both sides:

72 = 3x

Dividing both sides by 3:

x = 24

Therefore, the grandmother baked a total of 24 pastries.

Answer

The grandmother baked a total of 24 pastries.

Explanation

To solve this problem, we used the given information to set up an equation and solve for the total number of pastries. We found that the grandmother baked 24 pastries in total.