Question

У двох кошиках було 20 груш.Коли з першого кошика взяли 4 груші,в обох кошиках груш стало порівну.Скільки груш було в кожному кошику спочатку?

Answer 1

1) 20-4=16(груш)- стало у двох кошиках;
2)16:2=8(груш) - стало у кожному кошику і було у другому кошику;
3) 8+4=12(груш) - було у першому кошику.

Answer 2

Problem Analysis

We are given that there were a total of 20 pears in two baskets. After taking 4 pears from the first basket, the number of pears in both baskets became equal. We need to determine how many pears were initially in each basket.

Solution

Let's assume that there were x pears in the first basket and y pears in the second basket initially.

According to the given information, the total number of pears in both baskets is 20. Therefore, we can write the equation:

x + y = 20 After taking 4 pears from the first basket, the number of pears in both baskets became equal. This means that the number of pears in the first basket decreased by 4, and the number of pears in the second basket increased by 4. We can write the equation:

(x - 4) = (y + 4)

Simplifying this equation, we get:

x - y = 8 Now we have a system of two equations with two variables. We can solve this system to find the values of x and y.

To solve the system, we can use the method of substitution or elimination. Let's use the method of elimination:

Adding equation and equation we get:

(x + y) + (x - y) = 20 + 8

Simplifying this equation, we get:

2x = 28

Dividing both sides of the equation by 2, we get:

x = 14

Substituting the value of x back into equation we can solve for y:

14 + y = 20

Subtracting 14 from both sides of the equation, we get:

y = 6

Therefore, there were initially 14 pears in the first basket and 6 pears in the second basket.

Answer

There were initially 14 pears in the first basket and 6 pears in the second basket.