MATH SOLVE

3 months ago

Q:
# : 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

Accepted Solution

A:

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:[tex]x+y=70...(1)[/tex]Cost of x limited Edition soccer balls: [tex]65x[/tex]Cost of y pro NSL soccer balls: [tex]15x[/tex]We are also told that store collected a total of $2,400. We can represent this information in an equation as:[tex]65x+15y=2400...(2)[/tex]From equation (1), we will get:[tex]x=70-y[/tex]Substituting this value in equation (2), we will get:[tex]65(70-y)+15y=2400[/tex][tex]4550-65y+15y=2400[/tex][tex]4550-50y=2400[/tex][tex]4550-4550-50y=2400-4550[/tex][tex]-50y=-2150[/tex][tex]\frac{-50y}{-50}=\frac{-2150}{-50}[/tex][tex]y=43[/tex]Therefore, the store sold 43 pro NSL soccer balls.Now, we will substitute [tex]y=43[/tex] in equation (1) to solve for x:[tex]x+43=70[/tex][tex]x+43-43=70-43[/tex][tex]x=27/tex]Therefore, the store sold 27 limited Edition soccer balls.