Answer: 140
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Step-by-step explanation:
m = number of men
w = number of women
The ratio of men to women is 7 to 5, meaning that m/w = 7/5
Cross multiply to get 5m = 7w.
Then divide both sides by 5 to end up with m = 7w/5 which is the same as m = 1.4w
We'll use this equation later.
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Since there are 336 total workers, we know that:
m+w = 336
1.4w+w = 336 .... replace m with 1.4w
2.4w = 336
w = 336/(2.4)
w = 140 women work at the company
and m = 1.4*w = 1.4*140 = 196 men work at the company as well.
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Checking the answer:
m+w = 196+140 = 336
m/w = 196/140 = (7*28)/(5*28) = 7/5
This helps confirm we have the correct value of w.