SOLUTION: A group of 68 people attended a baseball game. In that group, the number of children was three times the number of adults. Set up a system of equations, and solve the systems to de

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A group of 68 people attended a baseball game. In that group, the number of children was three times the number of adults. Set up a system of equations, and solve the systems to de      Log On


   



Question 583217: A group of 68 people attended a baseball game. In that group, the number of children was three times the number of adults. Set up a system of equations, and solve the systems to determine how many children went to the baseball game in the group.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +c+ = number of children
Let +a+ = number of adults
given:
+a+%2B+c+=+68+
+c+=+3a+
---------
+a+=+c%2F3+
+c%2F3+%2B+c+=+68+
+c+%2B+3c+=+204+
+4c+=+204+
+c+=+51+
There are 51 children
check:
+a+%2B+c+=+68+
+a+%2B+51+=+68+
+a+=+17+
and
+c+=+3a+
+51+=+3%2A17+
+51+=+51+
OK