Question

What equation would I use to model this situation?
A Broadway musical was attended by a total of 2,838 people, including men, women, and children. The number of women who attended the event was 5 more than 3 times the number of children, while the number of men was 3 less than 4 times the number of women. Write an equation to model this situation. Then, use the equation to find the number of men, women, and children who attended the musical.

Answer 1

@A-HUGE-EGG any ideas yet?

Answer 2

w=5+(3*c)
m=(4*w)-3
So you want to find the formula for children
3c+5=w
3c=w-5
c=(w-5)/3
plug that into women
w=5+(3*(w-5/3))
w=5+((3w-15)/3)
w=5+w-15

HAHA well I got this far but now it cancels out w

Answer 3

Okay I think I got it
If you take the formula for W=5+3c and M=4w-3
if you plug w into m you get
m=4(5+3c)-3
simplify and you get
m=20+12c-3
m=17+12c
Now what you can do is solve for c in that last formula and you get
12c=m-17
c=(m-17)/12
So if you look at everything we have one formula for men, one for women, but two for children:
m=4w-3
w=5+3c
c=(w-5)/3
and
c=(m-17)/12
so let us use the second children formula and plug it into women, then we get
w=5+3((m-17)/12)
w=5+((3m-51)/12)
plug men into that
w=5+(3*(4w-3)-51)/12
you get
w=5+(12w+153)/12
w=5+w+12.75
And that is where I give up.... Sorry

Answer 4

I am determined to figure this out!!!!

Answer 5

I got more people to help me! You are not alone!