Question

Auditions for a play in New York were held with 100 men and women trying out for the lead singer position. If twice the number of men less three times the number of women is equal to 20, how many men auditioned?

44

40

76

64

Answer 1

make two equation

Answer 2

how do I do that?

Answer 3

m + w = 100
2m - 3w = 20

Answer 4

m+w =100
2m-3w=20

Answer 5

alright then what?

Answer 6

then multiply first equation by -2

Answer 7

-50

Answer 8

-2m-2w=-200
2m-3w=20

Answer 9

oh I divided 100 from -2 oops

Answer 10

-5w=-180
w=36
m=64

Answer 11

You can use substitution:
m=100-w
so then the second equation can be rewritten as
2(100-w) - 3w = 20
200-2w-3w=20
200-5w=20
-5w=-180
5w=180
w=36

then you substitute that back into the first equation:
m+w=100
m+36=100
m=64

Answer 12

thanks guys!

Answer 13

yw