What is the final cost of a pair of shoes with a [tex]\$60[/tex] sticker price if the discount, coupon, and rebate shown in the table below are used?

\begin{tabular}{|l|r|}
\hline
Sticker Price & [tex]\$60.00[/tex] \\
\hline
Discount & [tex]25\%[/tex] \\
\hline
Coupon & [tex]\$9.00[/tex] \\
\hline
Mail-in Rebate & [tex]\$3.00[/tex] \\
\hline
\end{tabular}

Final Cost [tex]= \$[?][/tex]



Answer :

To find the final cost of a pair of shoes, we need to follow several steps, incorporating the discount, coupon, and mail-in rebate one by one. Here is the detailed breakdown:

1. Starting with the sticker price:
[tex]\[ \text{Sticker Price} = \$ 60.00 \][/tex]

2. Calculate the discount:
- The discount is given as [tex]\( 25\% \)[/tex].
- Find the discount amount:
[tex]\[ \text{Discount Amount} = 60.00 \times \frac{25}{100} = \$ 15.00 \][/tex]

3. Subtract the discount from the sticker price:
[tex]\[ \text{Price after Discount} = 60.00 - 15.00 = \$ 45.00 \][/tex]

4. Apply the coupon:
- The coupon reduces the price by [tex]\( \$ 9.00 \)[/tex].
[tex]\[ \text{Price after Coupon} = 45.00 - 9.00 = \$ 36.00 \][/tex]

5. Apply the mail-in rebate:
- The mail-in rebate further reduces the price by [tex]\( \$ 3.00 \)[/tex].
[tex]\[ \text{Final Cost} = 36.00 - 3.00 = \$ 33.00 \][/tex]

Thus, the final cost of the pair of shoes, after applying the discount, coupon, and rebate, is:
[tex]\[ \boxed{ \$ 33.00 } \][/tex]