Question

The ratio of boys to girls on a swim team is 4:3. The team has 35 members. How many of the members are girls

Answer 1

what we can do is divide the whole by the sum of the ratios, namely divide 35 by (4+3) and then distribute accordingly.

`\bf \cfrac{boys}{girls}\qquad 4:3\qquad \cfrac{4}{3}\qquad \qquad \cfrac{4\cdot (35)/(4+3)}{3\cdot (35)/(4+3)}\implies \cfrac{4\cdot 5}{3\cdot 5}\implies \cfrac{20}{\underset{girls}{15}}`