Question

Rita has two coupons for a printer.

Coupon A: 15% off of a $75 printer
Coupon B: $14 rebate on a $75 printer
Choose the coupon that gives the lower price.
Then fill in the blank with the correct value.
Coupon A gives the lower price.
The price with coupon A is Sless than the price with coupon B.
O Coupon B gives the lower price.
The price with coupon B is Sless than the price with coupon A.

Answer 1

well, the better bargain for Rita is the bigger savings so, we know "B" gives $14 flat right off the 75 bucks, how about "A"? is the 15% more than 14 bucks?

`\begin{array} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 75}}{\left( \cfrac{15}{100} \right)75}\implies 11.25`

woopsie, no dice, so she's better off taking the $14 rebate.