Question

В танцевальной студии число девочек относится к числу мальчиков как 6 : 5. Сколько пар, в каждую из которых входят мальчик и девочка, могут одновременно танцевать , если всего в студии занимается 66 человек ?

Answer 1

1):6+5=11-частей всего
2)66:11=6-приходится на 1 часть
3)6*6=36-количество девочек
4)6*5=30-количество мальчиков
Пары состоят из мальчика и девочки.
Ответ: 30 пар.

Answer 2

Calculating the Number of Dance Pairs

To calculate the number of pairs that can simultaneously dance, we can use the given ratio of girls to boys in the dance studio, along with the total number of people in the studio.

Given: - The ratio of girls to boys is 6:5. - The total number of people in the studio is 66.

Let's calculate the number of pairs that can simultaneously dance.

Calculation

First, we need to find the number of girls and boys in the studio. We can do this by setting up a system of equations based on the given ratio and the total number of people.

Let's denote: - The number of girls as 6x (where x is a constant multiplier). - The number of boys as 5x.

We know that the total number of people is 66: So, we have the equation: 6x + 5x = 66

Solving for x: 11x = 66 x = 6

Now that we have the value of x, we can find the number of girls and boys: - Number of girls = 6 * 6 = 36 - Number of boys = 5 * 6 = 30

Now, we can calculate the number of pairs that can simultaneously dance: Each pair consists of one girl and one boy, so the number of pairs is determined by the smaller of the two numbers (girls or boys).

Answer

The number of pairs that can simultaneously dance in the studio is determined by the number of boys, which is 30.

30 pairs of one boy and one girl can simultaneously dance in the studio.