SOLUTION: At a party 1/4 of the people are children. There is 1/2 as many men as women, and 15 more women than children. If the total number of people is x, form an equation in x and s

Algebra ->  Equations -> SOLUTION: At a party 1/4 of the people are children. There is 1/2 as many men as women, and 15 more women than children. If the total number of people is x, form an equation in x and s      Log On


   



Question 386786: At a party 1/4 of the people are children. There is 1/2 as many men as women,
and 15 more women than children. If the total number of people is x, form an
equation in x and solve.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
At a party 1/4 of the people are children. There is 1/2 as many men as women,
and 15 more women than children. If the total number of people is x, form an
equation in x and solve.
...
total = x
...
children = x/4
...
women = x/4+15
..
Men= 1/2*(x/4 +15)
=x/8 +15/2
...
x%2F4+%2Bx%2F4+%2B15+%2Bx%2F8+%2B15%2F2=x
..
x%2F4+%2Bx%2F4+%2Bx%2F8+-x+=-15+-15%2F2
...
LCD = 8
....
%282x%2B2x%2Bx-8x%29%2F8=%28-30-15%29%2F2
...
-3x%2F8+=-45%2F2
...
cross multiply
-6x=-360
/-6
x=60
...
Total 60
...
m.ananth@hotmail.ca