Question

В двух коробках 450 конфет.После того как из первой коробки переложили во вторую 75 конфет,во второй коробке стало 2 раза больше,чем в первой.Сколько конфет было в каждой коробке первоначально?

Answer 1

Пусть х конфет было в первой коробке, тогда (450 - х) конфет - во второй. После того как из первой коробки переложили во вторую 75 конфет, в первой осталось (х - 75) конфет, а во второй стало (450 - х + 75) конфет, что в 2 раза больше, чем в первой. Уравнение:  
2 * (х - 75) = 450 - х + 75
2х - 150 = 450 - х + 75
2х + х = 450 + 75 + 150
3х = 675
х = 675 : 3
х = 225 конфет в первой коробке
450 - 255 = 225 конфет во второй коробке 
Ответ: по 225 конфет было в каждой коробке первоначально.

Answer 2

Problem Analysis

We are given two boxes of candies. After transferring 75 candies from the first box to the second box, the second box contains twice as many candies as the first box. We need to determine the initial number of candies in each box.

Solution

Let's assume that the initial number of candies in the first box is x. After transferring 75 candies to the second box, the first box will have x - 75 candies.

According to the problem, the second box contains twice as many candies as the first box after the transfer. Therefore, the number of candies in the second box is 2 * (x - 75).

We know that the total number of candies in both boxes is 450. So we can write the equation:

x + 2 * (x - 75) = 450

Now we can solve this equation to find the value of x.

Calculation

Let's solve the equation:

x + 2 * (x - 75) = 450

Simplifying the equation:

x + 2x - 150 = 450

Combining like terms:

3x - 150 = 450

Adding 150 to both sides:

3x = 600

Dividing both sides by 3:

x = 200

Answer

The initial number of candies in the first box was 200, and the initial number of candies in the second box was 2 * (200 - 75) = 250.

Therefore, there were initially 200 candies in the first box and 250 candies in the second box.