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