I NEED HELP WITH THIS WORD PROBLEM

Question

Arianna and Samantha go to the movie theater and purchase refreshments for their friends.

Arianna spends a total of $118.75 on 10 drinks and 5 bags of popcorn.

Samantha spends a total of $157.75 on 9 drinks and 10 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

Let D = cost of a drink abd B = the cost of a bag of popcorn

Arianna:10D + 5B = 118.75

Samantha: 9D + 10B = 157.75

No matter which way you solve this set, it will be messy!

Multiply the first equation by 2 and subtract the 2nd equation

11D=79.75

D=7.75

Use either of the equations and the value to D to obtain the value of B