Question

2 anna and scott go to the movie theater and purchase refreshments for their friends. anna spends a total of $11.25 on three bags of popcorn and three drinks. scott spends a total of $10.00 for four bags of popcorn and 2 drinks. write and solve a system of equations that can be used to find the price of one bag of popcorn to the nearest cent.

Answer 1

One bag of popcorn costs $6.25 to the nearest cent.

Explanation:

Anna: 3x + 3y = 11.25 Scott: 4x + 2y = 10.00

To solve this system of equations, we can use the elimination method. We’ll multiply the first equation by 2 to eliminate the y variable:

6x + 6y = 22.50 4x + 2y = 10.00

Subtracting the second equation from the first, we get:

2x = 12.50 x = 6.25