In the first three days of its launch, the Galaxy Music Store sold 14 CDs of album x, 8 of album y, and 6 of album z through Branch A. Through Branch B, the store sold 7 CDs of album x, 13 of album y, and 4 of album z. Branch C sold 2 CDs of album x, 11 of album y, and 1 of album z. The total sales from each branch were as follows: Branch A: $166, Branch B: $145, Branch C: $84. What is the price of album y?

Question

In the first three days of its launch, the Galaxy Music Store sold 14 CDs of album x, 8 of album y, and 6 of album z through Branch A. Through Branch B, the store sold 7 CDs of album x, 13 of album y, and 4 of album z. Branch C sold 2 CDs of album x, 11 of album y, and 1 of album z. The total sales from each branch were as follows: Branch A: $166, Branch B: $145, Branch C: $84. What is the price of album y?

Select one of the options below as your answer:

A.
$8

B.
$5

C.
$7

D.
$3

E.
$6

Answer 1

14x+8y+6z = 166

7x+13y+4z = 145
2x+11y+z = 84

Looks like (E)

Answer 2

To find the price of album y, we need to calculate the total sales of album y from all three branches and then divide it by the number of CDs sold.

Let's start by calculating the total sales of album y from each branch:

Branch A: Sold 8 CDs of album y, with total sales of $166.
Branch B: Sold 13 CDs of album y, with total sales of $145.
Branch C: Sold 11 CDs of album y, with total sales of $84.

To find the price of album y, we need to determine the average price per CD sold.

First, we calculate the total CDs sold for album y:
8 + 13 + 11 = 32 CDs of album y were sold in total.

Next, we calculate the total sales for album y:
$166 + $145 + $84 = $395 in total sales for album y.

Finally, we divide the total sales by the number of CDs sold:
$395 ÷ 32 = $12.34 per CD.

So, the price of album y is not one of the given options. Please check the provided options and double-check the information given in the question.