Question

Kareem bought 4 CDs that were each the same price. Including sales tax, he paid a total of $54.40. Each CD had a tax of $0.50. What was the price of each CD before tax?

A) $12.00
B) $10.00
C) $11.00
D) $13.00

Answer 1

To find the price of each CD before tax, subtract the total tax from Kareem's total payment and divide by the number of CDs. The correct price before tax is $13.00 per CD, which corresponds to answer choice D.

Step-by-step explanation:

The student is asking a Mathematics question involving basic arithmetic and an understanding of sales tax calculations to determine the price of each CD before tax. To find the price of each CD before tax, we first subtract the total amount of tax paid on all CDs from the total amount Kareem paid. Kareem bought 4 CDs and paid a total of $54.40, with each CD having a tax of $0.50.

To calculate the total tax for all CDs: 4 CDs × $0.50 tax per CD = $2.00 total tax. Next, we subtract the total tax from the total amount paid to find the total cost of the CDs before tax: $54.40 total paid - $2.00 total tax = $52.40 cost before tax.

Now we divide the total cost before tax by the number of CDs to find the cost per CD: $52.40 ÷ 4 CDs = $13.00 per CD before tax.

The correct answer is D) $13.00. By performing these simple calculations, we've determined the initial price of each CD before sales tax was added.