Natalie and Nora go to the movie theater and purchase refreshments for their friends. Natalie spends a total of $166.50 on 6 bags of popcorn and 14 drinks. Nora spends a total of $25.25 on 1 bag of popcorn and 2 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. Using these equations, determine and state the price of a drink, to the nearest cent.

The price of one drink is $7.50

Step-by-step explanation:

Let

x ----> the price of one bag of popcorn

y ----> the price of  one drink

we know that

Natalie spends a total of $166.50 on 6 bags of popcorn and 14 drinks.

so

----> equation A

Nora spends a total of $25.25 on 1 bag of popcorn and 2 drinks

so

----> equation B

Solve the system of equations

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is (10.25,7.5)

see the attached figure

therefore

The price of one drink is $7.50

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation

f(x)=4

step-by-step explanation: