Question

Phuong collects Persian and Oriental rugs in a ratio of 3:4. If Phuong has 84 Oriental rugs, how many rugs are in his collection?

Answer 1

The answer is

147

Explanation:

Let the total number of rugs be x

To find the total number of rugs we must first find the total parts which is

3 + 4 = 7

4/7 of the total rugs are 84 Oriental rugs

Which is written as

`(4)/(7) x = 84`

Multiply through by 7

`7 * (4)/(7) x = 84 * 7`

Simplify

`4x = 588`

Divide both sides by 4

`(4x)/(4) = (588)/(4) \\ \\ \\ \\ x = 147`

The total number of rugs is 147

Hope this helps you