Question

Для спортивного клуба купили 80 больших и маленьких мячей. Больших мячей в 4 раза меньше чем маленьких. Сколько купили больших мячей? Сколько маленьких? Задача на части действиями/примерами с наименованиями и пояснениями

Answer 1

Одна часть - маленькие мячи
4 части - большие
4+1=5 частей всего
80:5=16мячей - одна чаксть
16*1=16 мячей маленьких
16*4=64 мяча большие

Answer 2

Problem Analysis

We are given that a sports club has purchased a total of 80 big and small balls. The number of big balls is 4 times less than the number of small balls. We need to determine how many big and small balls were purchased.

Solution

Let's assume the number of small balls purchased is x. According to the problem, the number of big balls is 4 times less than the number of small balls. This means the number of big balls is x/4.

We know that the total number of balls purchased is 80. So we can write the equation:

x + x/4 = 80

To solve this equation, we can multiply both sides by 4 to eliminate the fraction:

4x + x = 320

5x = 320

Now, we can solve for x:

x = 320/5 = 64

Therefore, the number of small balls purchased is 64.

To find the number of big balls, we can substitute this value back into the equation:

x/4 = 64/4 = 16

Therefore, the number of big balls purchased is 16.

Answer

The sports club purchased 16 big balls and 64 small balls.

Explanation

Let's break down the solution step by step:

1. We assumed the number of small balls purchased is x. 2. According to the problem, the number of big balls is 4 times less than the number of small balls, so the number of big balls is x/4. 3. The total number of balls purchased is 80, so we can write the equation x + x/4 = 80. 4. Multiplying both sides of the equation by 4 eliminates the fraction: 4x + x = 320. 5. Simplifying the equation gives us 5x = 320. 6. Solving for x gives us x = 320/5 = 64. 7. Therefore, the number of small balls purchased is 64. 8. Substituting this value back into the equation, we find the number of big balls is x/4 = 64/4 = 16.

I hope this explanation helps! Let me know if you have any further questions.