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 women auditioned?

44

36

76

60

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 women auditioned?

 44

 36

 76

 60

anonymous · Answer

im msellier sister need help for this please

anonymous · Answer

anyone please?

mathmate · Answer

Let
M=number of men
100-M = number of women

Set up equation from 
" If twice the number of men less three times the number of women is equal to 20"

2M-3(100-M)=20

Now use the equation to solve for M and subsequently find the number of men and women.

mathmate · Answer

Make sure the result is an integer (i.e. whole number)!

anonymous · Answer

64 ?

mathmate · Answer

For number of men?

anonymous · Answer

2M-3(100-M)=20
2M - 300 + 3M =20 
5M-300= 20 add 300 each side 
5M = 320 
M = 64

anonymous · Answer

? @mathmate ?

mathmate · Answer

The answer is good!

mathmate · Answer

Do check what the question is asking!

anonymous · Answer

oh so then substitute 64 for M ?

mathmate · Answer

In retrospect, I should have set up:
W=number of women,
and (100-W)=number of men...
But either way, you can get the right answer.

mathmate · Answer

The question asks for the number of women who auditioned.

anonymous · Answer

im lost?

mathmate · Answer

If there are 100 persons who auditioned, out of which 64 are men.  How many women auditioned?

anonymous · Answer

oh lol i see yeah so 36 women

anonymous · Answer

?

mathmate · Answer

Yes, that is correct.

anonymous · Answer

thank you alot 
msellier sister :)

mathmate · Answer

yw!