Question

Claire said that 10/15 of her CDs are country music. Which statement could be true based upon this relationship?

A. Two-thirds of Claire’s CDs are jazz music.
B. One-third of Claire’s CDs are country music.
C. Claire has 10 country CDs and 5 jazz CDs.
D. Claire has 10 country CDs and 15 jazz CDs.

Answer 1

Answer: Claire has 10 country CDs and 5 jazz CDs.

Explanation:

Answer 2

C. Claire has 10 country CDs and 5 Jazz CDs

Explanation:

`(10)/(15)` means that 10 out of 15. So we can assume that in total she has 15 CDs and 10 of them are Country and the other is Jazz.

This would rule out choice D.

If we reduce this fraction then we would have:

`(10)/(15) = (2)/(3)`

This means that two-thirds of her CDs are country music. So this would rule out A and B choices.

Now C is correct because 10 country plus 5 Jazz is equal to 15 CDs. So we have the correct total.

The answer is C.