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

So 3:4::198:?. 3 is to 198 as 4 is to ?. You're solving for ? so you want that on the top of the fraction. 4/3=?/198. Multiply both sides by 198. ?=(4/3)(198)=264 women. Then add the men. 264+198=462 workers.

Check your work. (462/7)*3=198 men.

Answer 2

3x=792

x=264 women

198+264=462 total.

I hope this helps!