The book store is having a sale where all hardcover books are 20% off. Jamie also has a coupon for 15% off any fiction book. Jamie buys a hardcover fiction book that is priced $32.99. How much will Jamie save by buying the book on sale and using the coupon?
a. $10.56
b. $11.55
c. $13.20
d. $19.79
Answer (1)
Calculate the hardcover discount: 0.20 × $32.99 = $6.60 .
Calculate the price after the hardcover discount: $32.99 - $6.60 = $26.39.
Calculate the fiction coupon discount: 0.15 × $26.39 = $3.96 .
Calculate the total savings: $6.60 + $3.96 = \boxed{$10.56}.
Explanation
Calculate hardcover discount First, we need to calculate the discount from the hardcover sale. The book is 20% off, so we calculate 20% of $32.99.
Hardcover discount amount The hardcover discount is: 0.20 × $32.99 = $6.598 ≈ $6.60
Price after hardcover discount Next, we calculate the price after the hardcover discount: $32.99 − $6.598 = $26.392 ≈ $26.39
Calculate fiction coupon discount Now, we calculate the discount from the fiction coupon. Jamie gets an additional 15% off the already discounted price. So, we calculate 15% of $26.392.
Fiction coupon discount amount The fiction coupon discount is: 0.15 × $26.392 = $3.9588 ≈ $3.96
Total savings Finally, we calculate the total savings by adding the hardcover discount and the fiction coupon discount: $6.598 + $3.9588 = $10.5568 ≈ $10.56
Examples
Imagine you're shopping for clothes and see a shirt that's marked down by 30%. You also have a coupon for an additional 20% off. Calculating the total savings, similar to Jamie's book purchase, helps you determine the final price and whether it fits your budget. This skill is useful for making informed purchasing decisions, comparing deals, and managing personal finances effectively. By understanding how multiple discounts combine, you can optimize your spending and get the best value for your money.
