## ineedyouubiebs 2 years ago I need to check my answer!

1. ineedyouubiebs

There are 396 persons in the theater. If the ratio of women to men in 2:3 and the ratio of men to children is 1:2, how many men are in the theater? I got 198 men

2. ineedyouubiebs

@Directrix

3. Directrix

How did you get 198 men?

4. ineedyouubiebs

|dw:1380605005894:dw|

5. Directrix

If the ratio of men to children is 1:2, then there would be 396 children. 396 + 198 exceeds the number of people in the theater.

6. Directrix

Whatever this calculation is, it does not take the women present into account. |dw:1380605085504:dw|

7. ineedyouubiebs

So i did it the other way around right?

8. ineedyouubiebs

So whats the right way to do it?

9. Directrix

Well, it's not by guessing although if you post the options we can determine the numbers that best fit the requirements of the problem.

10. ineedyouubiebs

There aren't any options

11. ineedyouubiebs

Have any ideas?

12. Directrix

Yes, I do have some ideas.

13. ineedyouubiebs

Well this helps, thanks =D but I still have no idea how to do the problem

14. ineedyouubiebs

Why? Can you please tell me how to solve this problem

15. ineedyouubiebs

It's 12am where I am and Im really sleepy

16. Directrix

It's going on 2 a.m. where I am. I have to re-work this problem so you catch some ZZZs, and I'll try to post a solution.

17. ineedyouubiebs

but this hw is due tommorow:/

18. Directrix

I now have 108 men. Let x = number of women Let y = number of men Let z = number of children (x + y + z = 396) (3x = 2y) (z = 2y) ------------ Solve simultaneously. Women: 72 Men: 108 Children: 216 I am now going to work on a solution that does not involve three equations in three unknowns.

19. Directrix

Another Solution: Ratio of W:M = 2:3 Ratio of M:C = 1:2. A ratio of 1:2 is the same as a ratio 3:6 Therefore, the extended ratio of W:M:C = 2:3:6 So, 2x + 3x + 6 x = 396 11x = 396 x = 36 Men = 3*36 = 108 ---> Number of Men @ineedyouubiebs

20. ineedyouubiebs

thank you oso much. imma go get some zzzzs's now cause im about to pass out: o

21. Directrix

You are welcome. Catch you here later.