ticket prices

Question

Kim Bennett has been pricing? Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 80. Two adults and three children must pay $ 57. Find the price of the? adult's ticket and the price of a? child's ticket.

Answer 1

3a + 4c = 80

2a + 3c = 57

 

How can we cancel something out?

 

-2(3a + 4c = 80)

3(2a + 3c = 57)

 

-6a - 8c = -160

 6a + 9c = 171

 

Adding these together...

 

c = 11

 

3a + 4(11) = 80

3a + 44 = 80

3a = 36

a = 12

 

Hope this helps!