A sports store sells a total of 70- Soccer balls in one month and collects a total of $2,400. Write and Solve a System of equations to determine how many of each type of soccer ball were sold.

The correct answer is: The no.of limited edition soccer balls sold be 27 and no.of Pro NSL soccer ball sold are 43.

Ans :- The no.of limited edition soccer balls sold be 27 and no.of Pro NSL soccer ball sold are 43.
Explanation :-
Let no.of limited edition soccer balls sold be x ,no.of Pro NSL soccer ball sold be y.
Step 1:- Frame equations
Total no.of ball is 70
I.e x + y = 70             —Eq1
Total cost of balls is $2,400
Cost of x  limited edition soccer balls is 65x (as per ball cost is given in diagram)
And Cost of y Pro NSL soccer ball is 15x(as per ball cost is given in diagram)
I.e 65x + 15y = 2,400            —Eq2
Step 2:- Eliminate y to find x
Do Eq2 -15(Eq1) to eliminate y
65x + 15y - 15(x+y) = 2400 - 15(70)
65x - 15x = 1350
50x = 1350 ⇒ x = 27
Step 3:- substitute value of x to find y
x + y = 70 ⇒ 27 + y = 70
⇒ y = 70 - 27
∴y = 43
∴The no.of limited edition soccer balls sold be 27 and no.of Pro NSL soccer ball sold are 43.