Problema Solution
Sarah and Morgan go to the movie theater and purchase refreshments for their friends.
Sarah spends a total of $88.50 on 4 drinks and 10 bags of popcorn.
Morgan spends a total of $62.25 on 8 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 bag of popcorn, to the nearest cent.
Answer provided by our tutors
Let
x = the price of a drink
y = the price of a bag of popcorn
Sarah spends a total of $88.50 on 4 drinks and 10 bags of popcorn means:
4x + 10y = 88.50
Morgan spends a total of $62.25 on 8 drinks and 3 bags of popcorn means:
8x + 3y = 62.25
We have the following system of equations:
4x + 10y = 88.50
8x + 3y = 62.25
........
click here to see the system of equations solved for x and y
........
x = $5.25
y = $6.75
The price of a bag of popcorn is $6.75.