Question

Grace paid $45 for a sweater on sale at Sweater Village for 20% off the retail price. Sandra paid $42 for the same sweater at Winter Wonderland on sale for 25% off the retail price. How much more does the sweater cost at Sweater Village than at Winter Wonderland at the pre-sale price?

Answer 1

Let x be the pre-sale price of the sweater at Sweater village and y be the pre-sale price of the sweater at Winter Wonderland.

Discount at Sweater Village = 20%

`=(20)/(100) x`

`=(x)/(5)`

Cost after discount =
`x-(x)/(5) =(4x)/(5)`

`(4x)/(5)=45`

`x=(5(45))/(4)`

=
`(225)/(4)`

x = 56.25

Discount at Winter Wonderland = 25%

`=(25)/(100) y`

`=(y)/(4)`

Cost after discount =
`y-(y)/(4)`

=
`(3y)/(4)`

`(3y)/(4)`=42

y = 56

Difference in cost = 56.25 - 56 = 0.25

Hence, sweater at Sweater Village costs 0.25 more than at Winter Wonderland.