Question

Fred bought six cassette tapes and 12 compact disks (CDs) for $222. The CDs all cost the same, and each cassette tape costs $7. What was the cost of one CD?

Options:

A) $10

B) $12

C) $15

D) $18

Answer 1

To determine the cost of one CD, first calculate the total cost of the cassette tapes and subtract it from the total amount spent. Then divide the remaining amount by the number of CDs to find the cost per CD, which is $15.

Step-by-step explanation:

The student is asking for help with a mathematical problem involving algebraic expressions and equations. Fred spent a total of $222 on 6 cassette tapes and 12 CDs. Each cassette tape costs $7, so first, we calculate the total cost of the cassette tapes:

6 cassette tapes × $7 each = $42 spent on cassette tapes.

Then we subtract the total cost of the cassette tapes from the overall total to find the amount spent on CDs:

$222 - $42 = $180 spent on CDs.

The problem states that there are 12 CDs, and they all cost the same amount. To find the cost of one CD, divide the total cost of CDs by the number of CDs:

$180 ÷ 12 CDs = $15 per CD.

Therefore, the answer is C) $15 as the cost of one CD.