Problema Solution
Jen has been pricing train tickets for a trip to New York. Three adults and four children must pay $122. Three adults and two children must pay $87. Find the price of the adult's ticket and the price of the 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
3 adults and 4 children must pay $122
3a + 4c = 122
3 adults and 2 children must pay $87
3a + 2c = 87
by solving the system of equations
3a + 4c = 122
3a + 2c = 87
we find
c = $17.5
a = $17.33
click here to see the step by step solution of the system of equations
the price of the adult's ticket is $17.5
the price of the child's ticket is $17.33.