SOLUTION: a group of 80 people attended a ball game. There were three times as many children as adults in the group. How many children were in the group?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: a group of 80 people attended a ball game. There were three times as many children as adults in the group. How many children were in the group?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 34159: a group of 80 people attended a ball game. There were three times as many children as adults in the group. How many children were in the group?
Answer by Evy(14) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
First Describe the variables and write the equation:
VARIABLES: a=Adults 3a=Children so,
EQUATION: a%2B3a=80


Now combine like terms:
a%2B3a=4a


You are left with:
4a=80+ divide by 4


80%2F4=20 SO, a=20 There were 20 Adults


restate the eqation for the children
C=3a


Plug in the numbers and multiply:
3%2820%29=60


So, there were 20 Adults and 60 Children.


TO CHECK ANSWER
restate the equation:
a%2B3a=80
Plug in the numbers:
20%2B3%2820%29=80


Multiply:
3%2820%29=60


You are left with:
20%2B60=80 now add 20+60


80=80 Therefore the answer is correct.


Hope this is useful! If you have any questions e-mail me at Southqueensb@yahoo.com.
~EVY~