SOLUTION: There are 3 adults and 2 children in Timothy’s family, and they paid $21 as the entry fee in a park. There are 2 adults and a child in Austin’s family, and they paid $13 as the

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Question 1138684: There are 3 adults and 2 children in Timothy’s family, and they paid $21 as the entry fee in a park. There are 2 adults and a child in Austin’s family, and they paid $13 as the entry fee. Identify the fee for each adult and child.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


a = cost per adult
c = cost per child

Then the given information is

3a%2B2c+=+21
2a%2Bc+=+13

Solve by any method you choose.

Here is one unusual method that works nicely on this problem.

3 adults and 2 children cost $21; 2 adults and 1 child cost $13; the difference is 1 adult and 1 child for $8.

Now compare that to 2 adults and 1 child for $13; the difference is 1 adult for $5.

So the cost for each adult is $5; that makes the cost for each child $3.