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

Sagot :

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

[tex]\begin{gathered} Men\text{ : Women} \\ 3\text{ : 4} \\ 228:\text{ x} \end{gathered}[/tex][tex]\frac{3}{4}=\frac{228}{x}[/tex]

cross multiply

[tex]\begin{gathered} 3\times x=4\times228 \\ 3x=912 \end{gathered}[/tex]

Divide both sides by 3

[tex]\begin{gathered} \frac{3x}{3}=\frac{912}{3} \\ \\ x=304 \end{gathered}[/tex]

The number of women is 304

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