Question

The ratio of men to women in a certain factory is 3 to 4. There are 228 men. find the number of women

Answer 1

Given

The ratio of men to women in a certain factory is 3 to 4. There are 228 men. find the number of women

Solution

Let the number of women be x

`\begin{gathered} Men\text{ : Women} \\ 3\text{ : 4} \\ 228:\text{ x} \end{gathered}`
`(3)/(4)=(228)/(x)`

cross multiply

`\begin{gathered} 3* x=4*228 \\ 3x=912 \end{gathered}`

Divide both sides by 3

`\begin{gathered} (3x)/(3)=(912)/(3) \\ \\ x=304 \end{gathered}`

The number of women is 304