Auditions for a new, upcoming band in Chicago were held with 124 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 28, how many women auditioned?

40

44

70

80

Question

Auditions for a new, upcoming band in Chicago were held with 124 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 28, how many women auditioned?

 40

 44

 70

 80

diyadiya · Answer

Let the Number of Men be x & women be y

$$x+ y =124 \tag{1}$$
 If twice the number of men less three times the number of women is equal to 28
twice number of men =2x
3 times the number of woman =3y

so the equation is 
$$2x-3y=28 \tag{2}$$

Now solve (1) & (2)

anonymous · Answer

huh im so confused

diyadiya · Answer

Did you understand how i got the equation ?

anonymous · Answer

im confused by the equation

diyadiya · Answer

Number of men and women are not given 

so let us take Number of men as $\large x$ and number of woman as $\large y$

diyadiya · Answer

is this clear?

anonymous · Answer

yes

diyadiya · Answer

Now we make two equations from the question

in the question its given  ""with 124 men and women trying out for the lead singer position.""

so we know that number of women & men is together equal to 124 

that means Number of women + Number of Men = 124

now What is number of women and men ? can you form the first equation?

anonymous · Answer

my internet is messing upp.. i figured it out thanks :)

diyadiya · Answer

Ok