Question

Harper went into a movie theater and bought 10 bags of popcorn and 6 drinks, costing a total of $79. Damian went into the same movie theater and bought 3 bags of popcorn and 5 drinks, costing a total of $36.50

Answer 1

The price of the drink is: $4

and the bag of popcorn costed $5.5

Explanation:

Let b=the price of each bag of popcorn

Let d=the price of each drink

One bag of popcorn costs $b, so 10 bags of popcorn cost 10b. One drink costs $d, so 6 drinks cost 6d. The total cost 10b+6d equals \$79:

10b+6d=79

Likewise, if 3 bags of popcorn and 5 drinks cost $36.50, then:

3b+5d=36.50

Write System of Equations:

10b+6d=79

3b+5d=36.50