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 $124. Two adults and three children must $88. Find the price of the adults ticket and the price of a child's ticket.

Answer provided by our tutors

let


a = the price of adult's ticket

c = the price of child's ticket


Three adults and four children must pay $124


3a + 4c = 124


Two adults and three children must $88


2a + 3c = 88


by solving the system of equations


3a + 4c = 124

2a + 3c = 88


we find


a = $20


c = $16


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the price of the adult's ticket is $20.

the price of the child's ticket is $16.