SOLUTION: Sarah invited the same number of boys and girls to a party. Everyone who was invited came, and six additional girls showed up. The ratio of boys to girls was 5:6. How many girls sh

Algebra ->  Rational-functions -> SOLUTION: Sarah invited the same number of boys and girls to a party. Everyone who was invited came, and six additional girls showed up. The ratio of boys to girls was 5:6. How many girls sh      Log On


   

Question 982974: Sarah invited the same number of boys and girls to a party. Everyone who was invited came, and six additional girls showed up. The ratio of boys to girls was 5:6. How many girls showed up?
a. 6
b. 30
c. 36
d. 66
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for each statement
:
Sarah invited the same number of boys and girls to a party.
b = g
Everyone who was invited came, and six additional girls showed up.
The ratio of boys to girls was 5:6.
b%2F%28%28g%2B6%29%29 = 5%2F6
b = g therefore
g%2F%28%28g%2B6%29%29 = 5%2F6
Cross multiply
6g = 5(g+6)
6g = 5g + 30
6g - 5g = 30
g = 30 girls invited
:
How many girls showed up? 36 girls