Question

Sophie and Elizabeth go to the movie theater and purchase refreshments for their friends. Sophie spends a total of $72.50 on 5 drinks and 5 bags of popcorn. Elizabeth spends a total of $163.50 on 15 drinks and 3 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of a drink, to the nearest cent.

Answer 1

variables:
x: price/drink
y: price/bag of popcorn
system of equations:
72.50=5x+5y
163.50=15x+5y

solve:
(72.50=5x+5y)-1
163.50=15x+5y
-72.50=-5x-5y
----------------------
91=10x
x=9.1
163.50=15(9.1)+5y
163.50=136.5+5y
27=5y
y=5.4

One drink costs 9 dollars and 10 cents