SOLUTION: fair tickets for 2 adults and 3 children cost $34. An adult ticket costs $2 more than a child ticket. what is the price of an adult ticket?

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Question 389273: fair tickets for 2 adults and 3 children cost $34. An adult ticket costs $2 more than a child ticket. what is the price of an adult ticket?
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2A%2B3C=34
.
.
A=C%2B2
Substituting,
2%28C%2B2%29%2B3C=34
2C%2B4%2B3C=34
5C=30
highlight%28C=6%29
Then from above,
A=6%2B2
highlight%28A=8%29
.
.
.
Adult tickets are $8 and children's tickets are $6.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

An adult ticket costs $2 more than a child ticket

Let x and (x + $2)represent the cost of the child and adult ticket respectively

Question states***

 2(x+ $2) + 3x = $34

solving for x

 2x+ $4 + 3x = $34

        5x = $30

         x = $6 , the cost of the child ticket.  Adult ticket is $8   ($6+$2)



CHECKING our Answer***

  2*$8  + 3*$6 = $16 + $18 = $34