at the movies theater, the clayton family bought 4 fountain drinks and 3 bags of popcorn and paid 22.50. The Hanks family bought 5 fountain drinks and 2 bags of popcorn and paid 23.75. How much is an fountain drink

Therefore the price of an foundation drink is $ 3.20 (approx).

Step-by-step explanation:

Let the price of one fountain drink be x and one beg of popcorn be y.

The Clayton family bought 4 fountain drinks and 3 begs of popcorn and paid $22.50. The Hanks family bought 5 fountain drinks and 2 begs of popcorn and paid $23.75.

According to the problem,

4x+3y=22.50 ... (1)

5x+2y=23.75 ... (2)

Equation (1) * 5 - Equation (2) * 4

20x+15y - (20x+8y) = 112.5-91

⇔20x + 15y - 20 x-8y=21.5

⇔7y=21.5

⇔y = 3.07

putting the value of y in equation (1)

4x+3*3.07 = 22.50

⇔4x=22.50 - 9.21

⇔x=3.20

Therefore the price of an foundation drink is $ 3.20 (approx).