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

The correct option is D. $7

Step-by-step explanation:

Let cost of each popcorn be x and cost of each program be y

Mike went to a football game with his family. They bought 5 boxes of popcorn, and 3 programs and spent $41

So, The equation which models this situation is given by :

⇒ 5x + 3y = 41 (1)

Also, Sean’s family went to the same game, bought 3 boxes of popcorn, and 2 programs and spent $26

So, The equation which models this situation is given by :

⇒ 3x + 2y = 26 (2)

On solving equations (1) and equation (2)

We get, x = 4 and y = 7

Hence, Cost of each popcorn at the game = $4

Cost of each program at the game = $7

Therefore, The correct option is D. $7

could you provide figure.