Question

The price of a pair of headphones is $49.99 before tax. Ron bought the headphones for a 50% discount. He then paid sales tax of 8% on the discounted price.

Part A: How much did Ron pay in sales tax? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Ron paid for the headphones? Show all work and steps in your solution.

Answer 1

Part a: 1.9996

Part b: 26.9946

Explanation:

STEP 1:

Find the unit rate (1% of 49.99). You should get 0.4999. Then, multiply 0.4999 by 50. You should get 24.995.

STEP 2:

Find the unit rate of 24.995. You should get 0.24995. Then multiply 0.24995 by 8. You should get 1.9996 (answer for part a).

STEP 3:

Add 1.9996 to 24.995. You should get 26.9946 (answer to part b).

Answer 2

A. $2.00

B. $26.99

Explanation:

0.5 x 49.99 = 24.995

49.99 - 24.995 = 24.995

0.08 x 24.995 = 1.9996 and round to the nearest hundredth

24.995 + 1.9996 = 26.9946

round to the nearest hundredth