the ratio of men to women in a certain factory is 3 to 4. There are 198 men. How many workers are there?
1 answer:
P r o p o r t i o n s
3:4 = 7
3/198 = 7/x
solve for x using cross multiplying
3/198 = 7/x
198(7) = 3x
1386 = 3x
/3 /3
462 = x
Therefore, there are 462 workers.
Proof:
3/198 = 4/x
198(4) = 3x
792 = 3x
/3 /3
264 = x
264 + 198 = 462.
264 / 4 = 66
198 / 3 = 66
462 / 7 = 66
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