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?

$4

$5

$6

$7

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?

 $4

 $5

 $6

 $7

mathstudent55 · Answer

Let x = the price of a box of popcorn
Let y = the price of a program

Mike: 5x + 3y = 41
Sean: 3x + 2y = 26

Solve the system of equations for x and y.

texaschic101 · Answer

do you need help ?

texaschic101 · Answer

try multiplying the first equation by 2 and the second equation by -3, this will eliminate the y's.
Or....
multiply the first equation by -3 and the second equation by 5, this will eliminate the x's.
Either way, you will get the same solution.