Question

At a particular music store, CDs are on sale at $14.00 for the first one purchased and $12.00 for each additional disc purchased. Maria spends $86.00 on CDs. How many CDs has Maria purchased?

6
7
8
9

Answer 1

8 cd this is the answer

Answer 2

7 CDs has been purchased.

Explanation:

Given,

For the first CD, cost = $ 14.00,

Let x be the additional number of CD purchased by Maria,

That is, total purchased CD = x + 1,

Now, for each additional CD, cost = $ 12.00,

So, the cost of x additional CD's = 12x dollars,

And, the total amount of the CDs = (14 + 12x) dollars

According to the question,

Total cost = $ 86.00

⇒ 14 + 12x = 86

⇒ 12x = 86 - 14 = 72

⇒ x =
`(72)/(12)` = 6

Hence, the total number of CDs purchased = 6 + 1 = 7.