Question

Швейное ателье выполнило заказ по пошиву костюмов по 50р за комплект для мальчиков и 55р за комплект для девочек когда пришли забирать заказ родители то заплатили 2400р за 44комплекта .сколько мальчиков ходит в танцевальный кружок

Answer 1

According to the information provided, a sewing workshop completed an order for costumes at a rate of 50 rubles per set for boys and 55 rubles per set for girls. When the parents came to pick up the order, they paid 2400 rubles for 44 sets. To determine how many boys are attending the dance class, we need to find the number of boys' sets in the order.

Calculation:

Let's assume the number of boys' sets is "x" and the number of girls' sets is "y". We can set up the following equations based on the given information:

1. The cost of boys' sets: 50 rubles per set 2. The cost of girls' sets: 55 rubles per set 3. The total cost of the order: 2400 rubles 4. The total number of sets: 44 sets

From the given information, we can write the following equations:

Equation 1: 50x + 55y = 2400 (total cost of the order) Equation 2: x + y = 44 (total number of sets)

To solve these equations, we can use substitution or elimination methods. Let's use the elimination method:

Multiply Equation 2 by 50 to make the coefficients of "x" in both equations equal:

50(x + y) = 50(44) 50x + 50y = 2200

Now we can subtract Equation 1 from this new equation:

(50x + 50y) - (50x + 55y) = 2200 - 2400 -5y = -200 y = 40

Substitute the value of "y" into Equation 2 to find "x":

x + 40 = 44 x = 44 - 40 x = 4

Answer:

Therefore, there are 4 boys attending the dance class.