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.

Step-by-step explanation:

Let the total number of CDs be 100

$\frac{1}{10}$ of CDs is given by

$\frac{1}{10}\times 100\\\\=10$

According to question,

$\frac{1}{5}$ of her Jazz CDs represents $\frac{1}{10}$ of all her CDs.

Let the number of Jazz CDs be  x

So, it becomes

$\frac{1}{5}\times x=10\\\\x=10\times 5\\\\x=50$

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.