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

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) (Show Source): You can put this solution on YOUR website!

a = cost per adult
c = cost per child

Then the given information is

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.
RELATED QUESTIONS
Cora and her family are going to an amusement park.there are 2 adults and 3 kids.the... (answered by macston)

In a park, the ratio of adults to children is 4 to 2. If there are 78 people in the park, (answered by josmiceli)

The total fee of a group of adults and children is Rs. 13.5. Each childs fee is one half... (answered by Theo)

there were 3 times as many adults as children at a theme park.After some time, an equal... (answered by mananth)

The admission fees at an amusement park are $2.50 for children and $5.20 for adults. On a (answered by Edwin McCravy)

The admission fees at an amusement park are $2.50 for children and $5.20 for adults. On a (answered by ikleyn)

In a park, the ratio of adults to children is 8 to 5. If there are 143 people in the... (answered by macston)

In a park, the ratio of adults to children is 6 to 13. If there are 76 people in the... (answered by fractalier)

In a park, the ratio of adults to children is 15 to 7. If there are 374 people in the... (answered by greenestamps,ikleyn)