Linear System Word Problem - Movie

Question

Dominic spends a total of $96.25 on 9 bags of popcorn and 8 drinks.

Jose spends a total of $85.25 on 3 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

96.25=9P+8D

85.25=3P+10D -> 255.75=9P+30D

Subtracting the first equation from the second gives 159.50=22D -> 7.25=D