Question

In Cecilia’s CD collection, 1/5 of her Jazz CDs represents 1/10 of all her CDs. What is the ratio of her Jazz CDs to her non-Jazz CDs? show work please!!

Answer 1

Answer: The required ratio is 1:1.

Explanation:

Let the total number of CDs be 100

`(1)/(10)` of CDs is given by

`(1)/(10)* 100\\\\=10`

According to question,

`(1)/(5)` of her Jazz CDs represents
`(1)/(10)` of all her CDs.

Let the number of Jazz CDs be x

So, it becomes

`(1)/(5)* x=10\\\\x=10* 5\\\\x=50`

So, Number of Jazz's CDs is 50

Number of Jazz non CDs is given by

`100-50=50`

Ratio of her CDs to her non- CDs is given by

`50:50\\\\1:1`

Hence, the required ratio is 1:1.