SOLUTION:
Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay
$ 99.$99.  
Two adults and three c
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Question 1023891:
Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay
$ 99.$99.
Two adults and three children must pay
$ 70.$70.
Find the price of the adult's ticket and the price of a child's ticket.
The price of a child's ticket is
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the prices of adult and children's tickets, a and c. Then we can write
3a + 4c = 99 and
2a + 3c = 70
Multiply the top one by 2 and the bottom one by three and subtract them...we get
6a + 8c = 198
-(6a + 9c = 210)
------------------
-c = -12
c = 12 ($12 for a child's ticket)
Now substitute that into the top equation and get
3a + 4(12) = 99
3a + 48 = 99
3a = 51
a = 17 ($17 for an adult ticket)
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