Question

Jen Butler has been pricing Speed-Pass train fares for a group trip to New

York. Three adults and four children must pay $117. Two adults and three
children must pay $83. Find the price of the adult's ticket and the price of
a child's ticket.
The price of a child's ticket is $
***

Answer 1

adult $19

child $15

Explanation:

3a + 4c = 117

2a + 3c = 83

6a + 8c = 234

-6a - 9c = -249

-c = -15

c = 15

3a + 4c = 117

3a + 4(15) = 117

3a + 60 = 117

3a = 57

a = 19