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?
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.