Question

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

Answer 1

Given:

Mrs. Applegate owns  $\dfrac{3}{19}$ 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  $=\dfrac{3}{19}$ of the business.

$x+3x+\dfrac{3}{19}=1$

$4x=1-\dfrac{3}{19}$

$4x=\dfrac{19-3}{19}$

$4x=\dfrac{16}{19}$

Divide both sides by 4.

$x=\dfrac{16}{4\times 19}$

$x=\dfrac{4}{19}$

Now,

Mrs. Brown owns  $=3\times x$

$=3\times \dfrac{4}{19}$

$=\dfrac{12}{19}$

Therefore, Mrs. Brown owns  $\dfrac{12}{19}$ of the business.