Question

купили 99 шаров трех цветов желтых шаров купили в 2 раза больше чем красных. синих шаров в 4 раза больше. чем желтых. сколько шаров каждого цвету купили ?

Answer 1

Problem Analysis

We are given the information that 99 balls of three different colors were purchased. The number of yellow balls is twice the number of red balls, and the number of blue balls is four times the number of yellow balls. We need to determine the number of balls of each color that were purchased.

Solution

Let's assume the number of red balls is x. According to the given information, the number of yellow balls is twice the number of red balls, so the number of yellow balls is 2x. Similarly, the number of blue balls is four times the number of yellow balls, so the number of blue balls is 4(2x) = 8x.

The total number of balls purchased is the sum of the number of red, yellow, and blue balls, which is x + 2x + 8x = 11x.

We are given that the total number of balls purchased is 99, so we can set up the equation:

11x = 99

To solve for x, we divide both sides of the equation by 11:

x = 99 / 11 = 9

Therefore, the number of red balls is 9, the number of yellow balls is 2x = 2(9) = 18, and the number of blue balls is 8x = 8(9) = 72.

Answer

The number of balls of each color purchased is as follows: - Red balls: 9 - Yellow balls: 18 - Blue balls: 72