Question

В одной песне в 4 раза больше тетрадей, чем в другой. Когда из первой пачки взяли 7 тетрадей, а во вторую положили 17, тетрадей в пачке стало поровну первоначально?

Answer 1

Было:
1 пачка - 4х,
2 пачка - х,
стало:
1 пачка - (4х-7),
2 пачка - (х+17),

4х - 7 = х + 17,
4х - х = 17 + 7,
3х = 24,
х = 8 т. - было во 2 пачке,
4х = 4*8 = 32 т. - было в 1 пачке

Answer 2

4x-7=x+17
3x=24
x=8
8 тетрадок во второй пачке. 8*4=32 тетрадок в первой пачке.

Answer 3

Problem Analysis

We are given two sets of notebooks, one with four times as many notebooks as the other. We are also given that when 7 notebooks are taken from the first set and placed in the second set, the number of notebooks in each set becomes equal. We need to find the initial number of notebooks in each set.

Solution

Let's assume the initial number of notebooks in the first set is x and in the second set is y.

According to the given information: 1. The first set has four times as many notebooks as the second set, so we can write the equation: x = 4y. 2. When 7 notebooks are taken from the first set and placed in the second set, the number of notebooks in each set becomes equal. This can be expressed as: (x - 7) = (y + 17).

We can solve these two equations to find the values of x and y.

Solving the Equations

Substituting the value of x from the first equation into the second equation, we get: (4y - 7) = (y + 17).

Simplifying the equation: 4y - y = 17 + 7, 3y = 24, y = 8.

Substituting the value of y into the first equation, we get: x = 4 * 8, x = 32.

Therefore, the initial number of notebooks in the first set is 32 and in the second set is 8.

Answer

The initial number of notebooks in each set was 32 and 8 respectively.