Question

A business is owned by 3 people. Mrs. Applegate owns

3
19
of the business. Mrs. Brown owns 3 times as much as
Mrs. Charles. What fractional part of the business does Mrs. Brown own?

Answer 1

Given:

Mrs. Applegate owns
`(3)/(19)` of the business.

Mrs. Brown owns 3 times as much as Mrs. Charles.

To find:

The fractional part of the business that Mrs. Brown owns.

Solution:

Let Mrs. Charles owns x part of business.

Mrs. Brown owns 3 times as much as Mrs. Charles.

Mrs. Brown owns = 3x part of business.

Mrs. Applegate owns
`=(3)/(19)` of the business.

`x+3x+(3)/(19)=1`

`4x=1-(3)/(19)`

`4x=(19-3)/(19)`

`4x=(16)/(19)`

Divide both sides by 4.

`x=(16)/(4* 19)`

`x=(4)/(19)`

Now,

Mrs. Brown owns
`=3* x`

`=3* (4)/(19)`

`=(12)/(19)`

Therefore, Mrs. Brown owns
`(12)/(19)` of the business.