Question

В двух ящиках было 240 пакетиков чая. после того как из первого ящика переложили во второй 20 пачек в первом осталось в 4 раза больше пачек чем стало во втором сколько пачек чая было в каждом ящике первоначально

Answer 1

Так как 1 коробка=4х, то 2 коробка=х (в 1 в 4 р больше чем во 2), значит 240=5х Х=48, значит в 1 коробке 48*4=192 пакетика. Переложили 20 из 1, значит сначала в первом было 192+20=212 пакетов. Во 2 добавили 20 пакетиков, сначала там было 48-20=28 пакетов. Проверка: 28+212=240.

Answer 2

Problem Analysis

We are given that there were initially 240 tea packets in two boxes. After transferring 20 packets from the first box to the second box, the number of packets in the first box became four times the number of packets in the second box. We need to find the number of tea packets in each box initially.

Solution

Let's assume that the number of tea packets in the first box initially is x and the number of tea packets in the second box initially is y.

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

1. The total number of tea packets initially is 240: - x + y = 240

2. After transferring 20 packets from the first box to the second box, the number of packets in the first box became four times the number of packets in the second box: - (x - 20) = 4(y + 20)

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 = 240 - y

Substituting this value of x into equation 2, we get: (240 - y - 20) = 4(y + 20)

Simplifying the equation: 220 - y = 4y + 80

Bringing all the terms with y to one side: 5y = 140

Dividing both sides by 5: y = 28

Substituting the value of y back into equation 1, we get: x + 28 = 240 x = 240 - 28 x = 212

Answer

Therefore, initially there were 212 tea packets in the first box and 28 tea packets in the second box.