Maths-

General

Easy

Question

# 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.

Hint:

### Given, Total income of the store for 70 soccer balls is $2,400.

There are two types of soccer balls and the cost of each type is different .

Frame equation considering no.of limited edition soccer balls sold be x

And no.of Pro NSL soccer ball sold be y and solve them to find x and y.

## 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.

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