Question

the ratio of men to women in a certain factory is 3 to 4. There are 198 men. How many workers are there?

Answer 1

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