Systems of Equations and Inequalities Review

Question

Jocelyn and Madelyn go to the movie theater and purchase refreshments for their friends. Jocelyn spends a total of $45.50 on 10 bags of popcorn and 1 drink. Madelyn spends a total of  $30.50 on 2 bags of popcorn and 4 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. Let x = bags popcorn and y = drinks

Answer 1

10P + D = 45.5

2P + 4D = 30.5

10P +20D = 152.5

10P +D = 45.5

19D = 107

D = $5.63 for a drink

P =(30.5-4(5.63))/2 =(30.5-22.53)/2=$3.99 for popcorn