Auditions for a play in New York were held with 120 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?

Question

anonymous · Answer

74

anonymous · Answer

74 men auditioned:

2x-3(120-x)=20

x=74

X= number of men
(120-x)= number of women

.sam. · Answer

x represents the number of men.
y represents the number of women,

x + y = 120
2x - 3y = 20

Multiply the first equation by 3, so

3x + 3y = 360
2x - 3y = 20

Therefore

5x = 380
x = 380/5 = 76
y = 120 - 76 = 44

anonymous · Answer

which one 76 or 44 ?

.sam. · Answer

x represents the number of men. 76

anonymous · Answer

If twice the number of men less three times the number of women is equal to 20
m + w = 120
2m - 3w = 20
-> m = 76, w = 44