Question

On a certain legislative committee, 3/8 of the committee members are Republicans. If 2/3 of the members are men and 3/5 of the men are Democrats, what fraction of the members are Democratic women?

Answer 1

1/4 of the Republicans are men?

Answer 2

but 15 members are Repbulicans

Answer 3

so we have 25 Democrats

Answer 4

3/5 of the men are Democrats

Answer 5

So, 15 of the members are men

Answer 6

from the Democratic party

Answer 7

so we have 25 out of 40 members to deal with

Answer 8

so, 10 of the members are Republicans

Answer 9

that are men

Answer 10

so 5 of them most be women

Answer 11

so we got 5 Republican women, 10 Republican men

Answer 12

which equals 15

Answer 13

and 15 more Demcratic members are men

Answer 14

so we got 30

Answer 15

so 10 of the democratics are women...

Answer 16

but why is the answer choice 9/40?

Answer 17

answer is 3/8

Answer 18

what fraction of the members are Democratic women?

Answer 19

15 members are Republicans, which is 15/40

Answer 20

since 3/8=15/40

Answer 21

Any ideas?

Answer 22

so we know number of repuclican right?

Answer 23

right, 15

Answer 24

so we have 25 members left

Answer 25

3/5 of the men are Democratics

Answer 26

because it does not say in question..

Answer 27

3/8 out of 40 is 15

Answer 28

so we got 15 Republicans

Answer 29

so we have 15 male Democratics

Answer 30

where did you get 40?

Answer 31

but why am I ending up with 10/40 Demo women instead of 9/40 Demo women?

Answer 32

From choice B, 9/40

Answer 33

3/8 can convert to 15/40

Answer 34

2/3 of men are 10

Answer 35

1/3 are women

Answer 36

is that making sense?