SOLUTION: A group of 52 people attended a ball game. There were three times as many children as adults in the group. Set up a system of equations that represents the numbers of adults and ch

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: A group of 52 people attended a ball game. There were three times as many children as adults in the group. Set up a system of equations that represents the numbers of adults and ch      Log On


   

Question 173476: A group of 52 people attended a ball game. There were three times as many children as adults in the group. Set up a system of equations that represents the numbers of adults and children who attended the ball game and solve the system to find the number of children who were in the group.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call the number of children and adults, c and a respectively
:
c+a=52......eq 1---->a=52-c
c=3a........eq 2
:
take a's value from eq 1 and plug it into eq 2
:
c=3(52-c)
:
c=156-3c
:
4c=156
:
highlight%28c=39%29 the number of children that attended the ball game.