Problema Solution

Jen Butler has been pricing Speed Pass train fairs for a group trip to New York. Three adults and four children must pay $110. Two adults and three children must pay $78. 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 of the adult's ticket


c = the price of the child's ticket


Three adults and four children must pay $110.


3a + 4c = 110


Two adults and three children must pay $78.


2a + 3c = 78


by solving the system of equations:


3a + 4c = 110


2a + 3c = 78


we find:


a = $18


c = $14


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the adult's ticket is $18 while the child's ticket is $14.