SOLUTION: Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 136.
  
Two adults and three childr
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Two adults and three childr
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Question 1022096: Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 136.
Two adults and three children must pay $ 97.
Find the price of the adult's ticket and the price of a child's ticket. Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! we have two equations in two unknowns
:
1) 3a + 4c = 136
2) 2a + 3c = 97
:
solve equation 1 for c
4c = 136 -3a
c = 34 -3a/4
:
substitute for c in equation 2
:
2a +3(34 -3a/4) = 97
2a +102 -9a/4 = 97
-a/4 = -5
a = 20
:
60 + 4c = 136
4c = 76
c = 19
:
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adult's ticket costs $20
child's ticket costs $19
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