Question

Помогите решить задачу.на соревнованиях мальчиков учавствовало в 8 раз больше чем девочек.сколько было мальчиков,если всего в соревнованиях учавствовало 180 человек?

Answer 1

8х+х=180
9х=180
х=180:9
х=20 (девочек)
20*8=160 (мальчиков)

Answer 2

Problem Analysis

We are given that the number of boys participating in a competition is 8 times the number of girls participating. We need to find the number of boys if the total number of participants is 180.

Solution

Let's assume the number of girls participating is x. According to the problem, the number of boys participating is 8 times the number of girls, so the number of boys is 8x.

The total number of participants is the sum of the number of boys and the number of girls: x + 8x = 180

Simplifying the equation: 9x = 180

To find the value of x, we divide both sides of the equation by 9: x = 180 / 9 = 20

Now that we know the value of x, we can find the number of boys by multiplying it by 8: 8x = 8 * 20 = 160

Therefore, there were 160 boys participating in the competition.

Answer

There were 160 boys participating in the competition.