No.136 Discounts
Example
The list prices of a racket and a ball total $130. The racket is bought at 20% off and the ball at 10% off, for a total payment of $105. Find the list price of each item.
POINT
After a discount, the price paid equals the list price multiplied by (1 − discount rate). Let variables represent the two list prices. Use the original total and the amount actually paid to form two equations.
Racket: $120; ball: $10
TRY
TRY 1
The list prices of a bag and a hat total $100. The bag is bought at 20% off and the hat at 10% off, for a total of $82. Find their list prices.
Bag: $80; hat: $20
TRY 2
The list prices of shoes and a shirt total $150. The shoes are bought at 20% off and the shirt at 10% off, for a total of $125. Find their list prices.
Shoes: $100; shirt: $50