Question

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 1

3x-x+2=4

Explanation:

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