Question

Justin and Jaxon go to the movie theater and purchase refreshments for their friends.

Justin spends a total of $6.50 on 2 bags of popcorn and i drink.
Jaxon spends a total of $57.50 on 14 bags of popcorn and 10 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.

Answer 1

Similar but different.

6.50 = 2p + 1d

57.50 = 14p + 10d

Multiply first equation by 10

65.00 = 20p + 10d

Subtract second equation,

65.00 - 57.50 = 6p

p = (65.00 - 57.50)/6 = 1.25

d = 6.50 - 2p = 6.50 - 2(1.25) = 4.00

Check:

2(1.25)+4.00=6.50, good

14(1.25)+10(4.00) = 57.50, good

Answer: Drink costs $4.00