Question

1. 5. Решить задачу: Из 20 красных, 75 синих и 25 желтых воздушных шаров нужно составить композиции с одинаковым количеством шаров одного цвета. Сколько шаров каждого цвета будет в Композиции?

Answer 1

Ответ:

20 шаров каждого цвета,а остальные на склад

Answer 2

Problem Analysis

We are given 20 red balloons, 75 blue balloons, and 25 yellow balloons. We need to create compositions with an equal number of balloons of each color. We need to determine how many balloons of each color will be in each composition.

Solution

To find the number of balloons of each color in each composition, we need to find the greatest common divisor (GCD) of the numbers 20, 75, and 25. The GCD will represent the maximum number of balloons of each color that can be included in each composition.

Let's calculate the GCD using the Euclidean algorithm:

1. Find the GCD of 20 and 75: - Divide 75 by 20: 75 ÷ 20 = 3 remainder 15 - Divide 20 by 15: 20 ÷ 15 = 1 remainder 5 - Divide 15 by 5: 15 ÷ 5 = 3 - The GCD of 20 and 75 is 5.

2. Find the GCD of 5 and 25: - Divide 25 by 5: 25 ÷ 5 = 5 - The GCD of 5 and 25 is 5.

Therefore, the GCD of 20, 75, and 25 is 5. This means that we can create compositions with 5 balloons of each color.

Answer

In each composition, there will be 5 red balloons, 5 blue balloons, and 5 yellow balloons.

Please let me know if you need any further assistance!