Problema Solution
Faith and Alyssa go to the movie theater and purchase refreshments for their friends
Faith spends a total of $72.00 on 6 drinks and 9 bags of popcorn
Alyssa spends a total of $37.50 on 4 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 one bag of popcorn to the nearest cent
Answer provided by our tutors
Let
x = the price of one drink
y = the price of one bag of popcorn
Faith spends a total of $72.00 on 6 drinks and 9 bags of popcorn means:
6x + 9y = 72
Alyssa spends a total of $37.50 on 4 drinks and 3 bags of popcorn:
4x + 3y = 37.50
The system of equation that we need to solve is:
6x + 9y = 72
4x + 3y = 37.50
........
click here to see the system of equations solved for x and y
........
x = $6.75
y = $3.50
The price of one drink is $6.75 while the price of one bag of popcorn is $3.50.