SOLUTION: A group of 72 children and adults attended a soccer game on Tuesday. Each adult paid $5 and each child paid $2. The group paid a total of $264. Write and solve a system of equation
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Question 1069326: A group of 72 children and adults attended a soccer game on Tuesday. Each adult paid $5 and each child paid $2. The group paid a total of $264. Write and solve a system of equations for this problem.
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Solving by substitution:
a+c = 72 subtract a from both sides:
a = 72-c
-------------------------------------------
5a+2c = 264 substitute for a
5(72-c)+2c = 264
360-5c+2c = 264
-3c = -96
c = 32
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Solve by elimination:
a+c = 72 multiply all times -5 and add to the next equation
-------------------------------
5a+2c = 264
+
-5a-5c = 360
0a-3c = -96
-3c = -96
c = 32
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