Loading…
Example 6.31 from Prealgebra, 6.3 Solve Sales Tax, Commission, and Discount Applications
Solve Sales Tax, Commission, and Discount Applications: example 6.31
Jeannette bought a swimsuit at a sale price of The original price of the swimsuit was Find the ⓐ amount of discount and ⓑ discount rate.
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
Solution
ⓐ Before beginning, you may find it helpful to organize the information in a list.
Original price = $31
Amount of discount = ?
Sale price = $13.95Identify what you are asked to find. What is the amount of discount? Choose a variable to represent it. Let the amount of discount. Write a sentence that gives the information to find it. The discount is the original price minus the sale price. Translate into an equation. Simplify. Check if this answer is reasonable. Yes. The $17.05 discount is less than the original price. Write a complete sentence that answers the question. The amount of discount was $17.05. ⓑ Before beginning, you may find it helpful to organize the information in a list.
Original price = $31
Amount of discount = $17.05
Discount rate = ?Identify what you are asked to find. What is the discount rate? Choose a variable to represent it. Let the discount rate. Write a sentence that gives the information to find it. The discount is what percent of the original price? Translate into an equation. Divide. Simplify. Check if this answer is reasonable. The rate of discount was a little more than 50% and the amount of discount is a little more than half of $31. Write a complete sentence that answers the question. The rate of discount was 55%.
Your turn
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Find ⓐ the amount of discount and ⓑ the discount rate: Lena bought a kitchen table at the sale price of The original price of the table was
How did it go?