Question

Andrea went to the store to buy sweater that was on sale for 40% off the original price it was then put on clearance an additional 25% off the sale price she also use a coupon that saved her an additional five dollars and J did not spend more than $7.60 for the sweater what are the possible values for the original price of the sweater?

Answer 1

The original price was $28.

Explanation:

Let the original price be = x

There was 40% off on x.

So, sales price was =
`x-0.40x=0.60x`

Tt was then put on clearance an additional 25% off the sale price.

Means the price now becomes:
`0.60x-0.25(0.60x)=0.45x`

With the help of coupon, she got $5 off and paid no more than $7.60, so the equation becomes:

`0.45x-5\leq 7.60`

=>
`0.45x \leq 7.60+5`

=>
`0.45x \leq 12.60`

=>
`x\leq 28`

Hence, the original price of the sweater was $28.