SOLUTION: Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $87. Two adults and three children must pay $62. Find t

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $87. Two adults and three children must pay $62. Find t      Log On


   

Question 1172647: Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $87. Two adults and three children must pay $62. Find the price of the​ adult's ticket and the price of a​ child's ticket.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi  

2A + 3C = $62

3A + 4C = $87 

6A + 9C = $186     |1ST EQ X 3 

6A + 8C = $174    |2ND EQ X 2

6A + 9C = $186  

-6A - 8C = - $174  

Child = $12 per ticket

2A = $62 - $36 = $26   1ST EQ

2A = $ 26

Adult = $13 per ticket

CHECKING our answer*** 2ND EQ

$39 + $48 = $87   CHECKS!

 Wish You the Best in your Studies.