### Home > A2C > Chapter Ch4 > Lesson 4.1.2 > Problem4-23

4-23.
1. Daniela, Kieu, and Duyen decide to go to the movies one hot summer afternoon. The theater is having a summer special: Three Go Free (if they each buy a large popcorn and a large soft drink). They take the deal and end up spending $22.50. The next week, they go back again, only this time, they each pay$8.00 to get in, they each get a large soft drink, and they share one large bucket of popcorn. This return trip costs them a total of \$37.50. Homework Help ✎

1. Find the price of a large soft drink and the price of a large bucket of popcorn.

2. Did you write two equations or did you use another method? If you used another method, write two equations now and solve them. If you already used a system of equations, skip this part.

Create a system of equations to solve the problem.

3P + 3D = 22.5

3(8) + P + 3D = 37.5

See part (a).