Ellie and Morgan go to the movie theater and purchase refreshments for their friends. Ellie spends a total of $36.50 on 7 bags of popcorn and 2 drinks. Morgan spends a total of $155.50 on 9 bags of popcorn and 14 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.

Equations are set up by who bought what, and the P stands for popcorn and the D for drinks

1) multiply first equation by - 7 so that the Ds are able to cancel out

2) place the second equation right under the first and add the 9p to - 49p and so on

3) divide by - 40 on both sides and the answer for p is $2.50

4) plug p into the equation

5) multiply 7 and 2.5 and subtract 17.5 on both sides

6) divide on both sides by 2

The amount for drinks is $8