SOLUTION: A group of 64 people attend a ball game. There were 3 times as many childre as there were adults in the group. Write a system of equations that you could use to set up this problem

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Question 267237: A group of 64 people attend a ball game. There were 3 times as many childre as there were adults in the group. Write a system of equations that you could use to set up this problem where a is the number of adults and c is the number of children in the group.
Solve the system of equations for c, the number of children in the group.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
(i) a+%2B+c+=+64
(ii) 3a+=+c
by substitution, we get
(iii) 3a+%2B+a+=+64
we get
(iv) 4a+=+64%7D%7D+dividing%2C+we+get%0D%0A%28v%29+%7B%7B%7Ba+=+16
so
c+=+48