Question

: A sports store sells a total of 70 soccer balls in one month, and collects a total of $2,400. A limited Edition soccer ball is $65 and a Pro NSL soccer ball is $15.Write and solve

Answer 1

Answer:

The store sold 43 pro NSL soccer balls.

The store sold 27 limited Edition soccer balls.

Step-by-step explanation:

Let x represent number of limited Edition soccer balls and y represent the number of pro NSL soccer balls.

We have been given that a sports store sells a total of 70 soccer balls in one month. We can represent this information in an equation as:

$x+y=70...(1)$

Cost of x limited Edition soccer balls: $65x$

Cost of y pro NSL soccer balls: $15x$

We are also told that store collected a total of $2,400. We can represent this information in an equation as:

$65x+15y=2400...(2)$

From equation (1), we will get:

$x=70-y$

Substituting this value in equation (2), we will get:

$65(70-y)+15y=2400$

$4550-65y+15y=2400$

$4550-50y=2400$

$4550-4550-50y=2400-4550$

$-50y=-2150$

$\frac{-50y}{-50}=\frac{-2150}{-50}$

$y=43$

Therefore, the store sold 43 pro NSL soccer balls.

Now, we will substitute $y=43$ in equation (1) to solve for x:

$x+43=70$

$x+43-43=70-43$

[tex]x=27/tex]

Therefore, the store sold 27 limited Edition soccer balls.