# Dividing a Quantity in a Given Ratio – Clear Examples

## Question 1

Divide $500$ in the ratio $2 : 3$.

\displaystyle \begin{align} \frac{2}{2+3} \times 500 &= 200 \\ \frac{3}{2+3} \times 500 &= 300 \\ 500 \text{ is divided by } &200 \text{ and } 300. \end{align}

## Question 2

Divide $600$ in the ratio $2 : 3 : 5$.

\displaystyle \begin{align} \frac{2}{2+3+5} \times 600 &= 120 \\ \frac{3}{2+3+5} \times 600 &= 180 \\\frac{5}{2+3+5} \times 600 &= 300 \\ 600 \text{ is divided by } &120, 180 \text{ and } 300. \end{align}

## Question 3

The ratio of boys to girls is $4 : 5$. If there are $225$ students, find how many more girls than boys.

\displaystyle \begin{align} \frac{4}{4+5} \times 225 &= 100 \text{ boys} \\ \frac{5}{4+5} \times 225 &= 125 \text{ girls} \\ \text{There are } 25 &\text{ more girls than boys.} \end{align}

## Question 4

David earns twice as much as Emily. If the sum of their wages is $\180 \ 000$, how much does each earn?

\displaystyle \begin{align} \frac{2}{2+1} \times \180 \ 000 &= \120 \ 000 \text{ David} \\ \frac{1}{2+1} \times \180 \ 000 &= \60 \ 000 \text{ Emily} \end{align}