Question

Mike went to a football game with his family. They bought 5 boxes of popcorn and 3 programs, and spent $41. Sean's family went to the same game, bought 3 boxes of popcorn and 2 programs, and spent $26. How much does each program cost at the game?

Answer 1

$7

Explanation:

Let the price of a box of popcorn = b and the price of a program = p

we can make 2 equations:

5b+3p = 41 and 3b+2p=26

We can use the subtraction method be able to eliminate one of the variables and isolate the other one - to do it I will equalize the 'b' in both equations by multiplying by 5 and 3 respectively

5(3b+2p=26)

-3(5b+3p = 41)

15b+10p=130

-(15b+9p=123)

p=7 (therefore the answer is 7$)