Question

Решите задачу!:Для двух спортзалов купили одинаковые мячи. За мячи для одного зала заплатили 200 рублей, а за мячи другого зала - 500 рублей, причём для одного зала было куплено на 3 мяча больше. Сколько мячей купили для каждого зала?

Answer 1

1) 500-200=300 руб. разница — это и есть 3 мяча
2) 300/3=100 руб — стоит один мяч
3) 200/100= 2 мяча для первого спортзала
4) 500/100=5 мячей  — для второго
ответ для первого 2 мяча,для второго 5 мячей

Answer 2

Problem Analysis

We are given that two sports halls bought the same type of balls. The balls for one hall cost 200 rubles each, while the balls for the other hall cost 500 rubles each. Additionally, the first hall bought 3 more balls than the second hall. We need to determine the number of balls bought for each hall.

Solution

Let's assume that the second hall bought x balls. Since the first hall bought 3 more balls than the second hall, the first hall bought x + 3 balls.

The total cost of the balls for the first hall is given by the equation: Cost of balls for the first hall = (x + 3) * 200 rubles

The total cost of the balls for the second hall is given by the equation: Cost of balls for the second hall = x * 500 rubles

Since the cost of the balls for the first hall is equal to the cost of the balls for the second hall, we can set up the following equation: (x + 3) * 200 = x * 500

Now, let's solve this equation to find the value of x, which represents the number of balls bought for the second hall.

Calculation

(x + 3) * 200 = x * 500

Expanding the equation: 200x + 600 = 500x

Rearranging the equation: 500x - 200x = 600 300x = 600

Dividing both sides by 300: x = 2

Therefore, the second hall bought 2 balls. Since the first hall bought 3 more balls than the second hall, the first hall bought 2 + 3 = 5 balls.

Answer

The first hall bought 5 balls, and the second hall bought 2 balls.