Respuesta :
Answer:
The original price was $28.
Step-by-step explanation:
Let the original price be = x
There was 40% off on x.
So, sales price was = [tex]x-0.40x=0.60x[/tex]
Tt was then put on clearance an additional 25% off the sale price.
Means the price now becomes: [tex]0.60x-0.25(0.60x)=0.45x[/tex]
With the help of coupon, she got $5 off and paid no more than $7.60, so the equation becomes:
[tex]0.45x-5\leq 7.60[/tex]
=> [tex]0.45x \leq 7.60+5[/tex]
=> [tex]0.45x \leq 12.60[/tex]
=> [tex]x\leq 28[/tex]
Hence, the original price of the sweater was $28.
