Question

Joshua and Noah go to the movie theater and purchase refreshments for their friends.

Joshua spends a total of $74.75 on 9 drinks and 4 bags of popcorn.

Noah spends a total of $18.00 on 2 drinks and 2 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 1

To find the price of one drink and one bag of popcorn, set up a system of equations using the given information and solve it.

Step-by-step explanation:

To find the price of one drink and the price of one bag of popcorn, we can set up a system of equations using the given information:

Let the price of one drink be x dollars.

Let the price of one bag of popcorn be y dollars.

From Joshua's purchases, we have the equation:

• 9x + 4y = 74.75

From Noah's purchases, we have the equation:

• 2x + 2y = 18.00

Now we can solve this system of equations to find the values of x and y.

By solving the system of equations, we find that the price of one bag of popcorn is $5.50 to the nearest cent.