Marelle bought a total of 6 drinks and 6 bags of popcorn for herself and five friends at the ballpark. She spent a total of $23.70.

Part 1: Write the equation for this word problem. Be sure to identify your variables.

Part 2: If each bag of popcorn cost $2.25, solve the equation to find the cost of each drink. Show your work.

Question

Marelle bought a total of 6 drinks and 6 bags of popcorn for herself and five friends at the ballpark. She spent a total of $23.70. 

Part 1: Write the equation for this word problem. Be sure to identify your variables. 

Part 2: If each bag of popcorn cost $2.25, solve the equation to find the cost of each drink. Show your work.

anonymous · Answer

1. Let's say variable p indicates the price of one bag of popcorn and variable d indicates the price of one drink. She bought 6 of each, so you would have 6p and 6d. Finally, this totaled 23.70, so the equation would be 6p+6d=23.70

2. Now, popcorn costs 2.25. Replace the variable for the cost of popcorn in the equation with 2.25, giving you 6(2.25)+6d=23.70. Then, solve:

6(2.25)+6d=23.70    (Multiply 6 by 2.25)
13.5+6d=23.70        (Substract 13.5 from both sides)
6d=10.2                    (Divide both sides by 6)
d=1.7

Each drink costs $1.70