SOLUTION: According to the Beach Boys, there were 2 girls for every boy in surf city, circa 1965. Thirty five years later, the ratio was not as good (for boys). There are now 4 boys out of

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: According to the Beach Boys, there were 2 girls for every boy in surf city, circa 1965. Thirty five years later, the ratio was not as good (for boys). There are now 4 boys out of       Log On


   



Question 140336: According to the Beach Boys, there were 2 girls for every boy in surf city, circa 1965. Thirty five years later, the ratio was not as good (for boys). There are now 4 boys out of every 11 teens in Surf City. If Surf City now has a teen population of 7,700, how many girls are there?
I am desperate to know how to even set this up. thankyou.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let g= the number of girls
The number of boys =7700+-+g
%287700+-+g%29+%2F+7700+=+4%2F11
Multiply both sides by 11%2A7700
11%2A%287700+-+g%29+=+7700%2A4
84700+-+11g+=+30800
-11g+=+-53900
g+=+4900
There are 4,900 girls in Surf City
check answer
7700+-+g+=+7700+-+4900
number of boys = 2800
2800+%2F+7700+=+4%2F11
multiply both sides by 11%2A7700
11%2A2800+=+4%2A7700
30800+=+30800
OK