Question

Kelly went to a hockey game with her family. They bought 4 bags of cotton candy and 2 souvenir cups and spent $36. Marissa's family went to the same game, bought 7 bags of cotton candy and 3 souvenir cups, and spent $59. How much did one souvenir cup cost at the game? (6 points)

Answer 1

4b+2c=36, solve for b, subtract 2c from both sides

4b=36-2c  divide both sides by 4

b=9-0.5c

Then we are told that:

7b+3c=59, using b=9-0.5c we get:

7(9-0.5c)+3c=59  perform indicated multiplication on left side

63-3.5c+3c=59  combine like terms on left side

63-0.5c=59  subtract 63 from both sides

-0.5c=-4 divide both sides by 0.5

c=8

So each souvenir cup costs $8.

(and each bag of cotton candy is $5)