Question

Monique needs to buy a baseball for $20, a soccer ball for $15, and a set of tennis balls for $12.

Monique has a coupon that gives her a discount of x percent on a baseball. She has a second coupon that gives her a discount of y percent on a set of tennis balls. The third coupon gives her a discount of z percent on her total purchase.

She cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Monique's purchase after the coupons are applied, the variables represent the percentages as decimals.

(1−x)20+(1−y)12+15

(1−z)(20+15+12)



Which part of the expression represents the price of the set of tennis balls after a coupon was applied directly to them?

Answer 1

Let

x---------> discount on a baseball

y---------> discount on a set of tennis balls

z--------> discount on the total purchase

Option A

Applying the coupons x and y

the total purchase is equal to

`(1-x)20+(1-y)12+15`--------> expression A

we know that

In the expression A

`(1-x)20` -------> represents the price on a baseball after a coupon was applied

`(1-y)12` -------> represents the price of the set of tennis balls after a coupon was applied

`15` -------> represents the price of a soccer ball after a coupon was applied

therefore

the answer Part a) is

`(1-y)12`

Option B

Applying the coupon z

the total purchase is equal to

`(1-z)(20+12+15)`--------> expression B

we know that

In the expression B

`(1-z)20` -------> represents the price on a baseball after a coupon was applied

`(1-z)12` -------> represents the price of the set of tennis balls after a coupon was applied

`(1-z)15` -------> represents the price of a soccer ball after a coupon was applied

therefore

the answer Part b) is

`(1-z)12`

Answer 2

(1 - y)12 represents the price of the set of tennis balls after a coupon was applied.