Auditions for a new, upcoming band in Chicago were held with 90 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 30, how many women auditioned?

50

40

60

30

Question

Auditions for a new, upcoming band in Chicago were held with 90 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 30, how many women auditioned?

50

40

60

30

anonymous · Answer

30<----- answer

jackellyn · Answer

From the word problem, create equations
90=m+w
2m-3w=30
Solve for variable m to substitute into first eqn
m=90-w
Substitute
2(90-w)-3w=30
Distribute
180 -2w-3w =30
Combine like terms
-5w=-150
Solve for w
w=-150/-5
w=30

So 30 women auditioned.
@savannajadey