sue had $100 gift card for the candy store. the store had a 15% discount off all retail prices with no sale taxes. there is a $12.00 package fee on each sale. if sue wants to spend exactly $100 including the discount and package fee, what is the greatest total retail price she can afford?

Answer 1

If the original price is p, then
the discounted price is 0.85p
After the fee, the final price is

0.85p + 12 = 100
p = 103.53

That is not the greatest price; it is the only price which will cost exactly $100. It is the greatest price if she does not want to spend more than $100.