Question

У двох коробках було порівну цукерок. Коли з першої коробки взяли 10 цукерок, а з другої - 28 цукерок, то в першій коробці стало цукерок у 4 рази більше, ніж у другій. Скульки цукерок було в кожній коробці спочатку?

Answer 1

Пусть х конфет было в каждой коробке, когда из 1 коробки взяли
10 конфет, а со 2 28 конфет, то в 1 коробке стало (x-10)конфет,
а во 2 (x - 28 ) ,т к в 1 коробке стало конфет в 4 раза больше ,чем
во 2 , получим уравнение:
4  х  (x -28 ) = x -10
4x - 112 =x -10
4x -x = -10 +112
3x = 102
x = 34 конфеты было в каждой коробке сначала



-

Answer 2

Problem Analysis

We are given two boxes of candies, initially containing an equal number of candies. After taking 10 candies from the first box and 28 candies from the second box, the number of candies in the first box becomes four times the number of candies in the second box. We need to find the initial number of candies in each box.

Solution

Let's assume the initial number of candies in each box is x.

According to the given information: - After taking 10 candies from the first box, the number of candies in the first box becomes x - 10. - After taking 28 candies from the second box, the number of candies in the second box becomes x - 28. - The number of candies in the first box is four times the number of candies in the second box, so we have the equation: x - 10 = 4(x - 28).

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

Equation:

x - 10 = 4(x - 28)

Solution Steps:

1. Distribute the 4 on the right side of the equation: x - 10 = 4x - 112 2. Move the x term to the left side of the equation and the constant term to the right side: x - 4x = -112 + 10 3. Simplify: -3x = -102 4. Divide both sides of the equation by -3 to solve for x: x = -102 / -3 5. Calculate the value of x: x = 34

Answer

The initial number of candies in each box was 34.