Problema Solution
Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 128. Two adults and three children must pay $ 91. Find the price of the adult's ticket and the price of a child's ticket.
Answer provided by our tutors
Let
a = the price per adult's ticket
c = the price per child's ticket
Three adults and four children must pay $128
3a + 4c = 128
Two adults and three children must $91
2a + 3c = 91
by solving the system of equations
3a + 4c = 128
2a + 3c = 91
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click here to see the system of equations solved for a and c
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a = $20
c = $17
The price of the adult's ticket is $20.
The price of the child's ticket is $17.