Question

на смотр театров прибыло мальчиков 145, девочек 87 .в каждой группе одинаковое количество. Сколько групп участвовало в смотре? сколько мальчиков, девочек было в каждой группе?

Answer 1

87 делится только на 3 87/3=29

Если предположить, что групп было 29, то 145/29=5

Все сходится

Ответ:29 групп; 3 девочки и 5 мальчиков 

Answer 2

Calculation of the Number of Groups and the Number of Boys and Girls in Each Group

To determine the number of groups and the number of boys and girls in each group, we can use the given information that there are 145 boys and 87 girls participating in the theater performance. It is also mentioned that there is an equal number of boys and girls in each group.

Let's assume that the number of boys and girls in each group is 'x'. Since there are 145 boys and 87 girls in total, we can set up the following equation:

145 boys + 87 girls = x boys per group + x girls per group

Simplifying the equation, we get:

145 + 87 = 2x

Now, we can solve for 'x' to find the number of boys and girls in each group:

232 = 2x

Dividing both sides of the equation by 2, we get:

x = 232 / 2 = 116

Therefore, there were 116 boys and 116 girls in each group.

Calculation of the Number of Groups

To find the number of groups that participated in the theater performance, we can divide the total number of boys (145) by the number of boys in each group (116). Since the number of boys and girls in each group is the same, we can also divide the total number of girls (87) by the number of girls in each group (116).

Let's calculate the number of groups using either the number of boys or the number of girls:

Number of groups = Total number of boys / Number of boys in each group = 145 / 116 ≈ 1.25

Since the number of groups cannot be a fraction, we need to round up to the nearest whole number. Therefore, the number of groups that participated in the theater performance is 2.

Alternatively, we can calculate the number of groups using the number of girls:

Number of groups = Total number of girls / Number of girls in each group = 87 / 116 ≈ 0.75

Again, rounding up to the nearest whole number, we get the same result of 2 groups.

Therefore, there were 2 groups that participated in the theater performance, with each group consisting of 116 boys and 116 girls.