Easton spends a total of $118.50 on 9 bags of popcorn and 6 drinks. Eli spends a total of $83.50 on 3 bags of popcorn and 10 drinks.

Question

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 bag of popcorn, to the nearest cent.

Answer 1

d=cost of one drink

p=cost of one popcorn

Write two equations given the information.

9p+6d=118.50

3p+10d=83.50 Solve by elimination.Multiply the 2nd equation times -3.

-3(3p+10d=83.50) equals

-9p-30d=-250.50 add the first equation

9p+6d=118.50 equals

-24d=-132 divide both sides by -24

-24d/-24=-132/-24

d=5.50. The cost of one drink equals $5.50

Then substitute time get the cost of popcorn.

9p+6(5.50)=118.50

9p+33=118.50 subtract 33 from both sides

9p+33-33=118.50-33

9p=85.50 Divide both sides by 9

9p/9=85.5/9

p=9.50

The cost of one bag of popcorn equals $9.50.