SOLUTION: Jen Butler has been pricing speed-pass train fares for a group trip to New York. Three adults and four children must pay $121. Two adults and three children must pay $86. Find the

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Question 992567: Jen Butler has been pricing speed-pass train fares for a group trip to New York. Three adults and four children must pay $121. Two adults and three children must pay $86. Find the price for the adult tickets and child's tickets.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let adult tickets cost A and child tickets cost C. You are told
3A+%2B+4C+=+121
2A+%2B+3C+=+86
Multiply the first equation by 2 and the second by 3 to get
6A+%2B+8C+=+242
6A+%2B+9C+=+258
Now subtract the fourth equation from the third to get
-C+=+-16
Children cost 16 each
Use that to solve for A.
3A+%2B+4%2A16+=+121
3A+=+57
A=19