SOLUTION: A group of people are gathered the total number of boys and men is 36. The ratio of number of boys to adults is 3:5. The ratio of men to women is 3:2, find the number of women in

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A group of people are gathered the total number of boys and men is 36. The ratio of number of boys to adults is 3:5. The ratio of men to women is 3:2, find the number of women in      Log On


   

Question 1064615: A group of people are gathered the total number of boys and men is 36. The ratio of number of boys to adults is 3:5. The ratio of men to women is 3:2, find the number of women in the room.
Answer by Fombitz(32388) About Me  (Show Source):
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1.M%2BB=36
.
.
.
B%2F%28M%2BW%29=3%2F5
5B=3%28M%2BW%29
2.5B=3M%2B3W
.
.
.
M%2FW=3%2F2
3.2M=3W
So then substituting 3 into 2,
5B=3M%2B2M
5B=5M
B=M
Them from 1,
M%2BM=36
2M=36
M=18
From 3,
2%2818%29=3W
3W=36
W=12