Question

В 2-ух коробках было 80 пар носков. После того,как из 1-ой коробки переложили в другую 14 пар носков оказалось, что в ней кол-во носков стало в 3 раза меньше,чем во 2-ой. Сколько пар носков было в каждой коробке первоначально?Помогиье решить как можно быстрей.Спасибо!)

Answer 1

Х  пар - было в первой коробке
х-14 (пар) - стало в первой коробке
80-х (пар) - было во второй коробке
80-х+14 (пар) - стало во второй, в 3 раза больше

(х-14)*3=80-х+14
3х-42=94-х
3х+х=94+42
4х=136
х=136:4
х=34(пары) - было в первой коробке
80-34=46(пар) было во второй

Answer 2

Problem Analysis

We are given two boxes of socks, and initially, there were 80 pairs of socks in total. After transferring 14 pairs of socks from the first box to the second box, the number of socks in the second box became three times the number of socks in the first box. We need to determine the initial number of pairs of socks in each box.

Solution

Let's assume that the initial number of pairs of socks in the first box is x and in the second box is y.

According to the given information, we can form the following equations:

1. The total number of pairs of socks initially is 80: - x + y = 80

2. After transferring 14 pairs of socks from the first box to the second box, the number of socks in the second box became three times the number of socks in the first box: - (x - 14) = 3(y - 14)

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

Solving the Equations

Let's solve the equations using the substitution method.

From equation 1, we have: x = 80 - y

Substituting this value of x into equation 2, we get: (80 - y - 14) = 3(y - 14)

Simplifying the equation: 66 - y = 3y - 42

Bringing all the terms involving y to one side: 4y = 108

Dividing both sides by 4: y = 27

Substituting the value of y back into equation 1, we get: x + 27 = 80 x = 53

Answer

The initial number of pairs of socks in the first box was 53, and in the second box was 27.

Please let me know if I can help you with anything else.