The menu of a concession stand is shown on the board below. How many different ways can Elli buy 5 items from the menu for exactly $10?
Question
Question
The menu of a concession stand is shown on the board below. How many different ways can Elli buy 5 items from the menu for exactly $10?
Let C represent the total cost of each deal
Let T be the number of trips down the water slide
C = 32 for the 1st deal since the cost is the same regardless of how much she rides
C = 18 + T for the 2nd deal
To find when the two costs are equal set them equal to each other and solve for T
32 = 18 + T
T = 14 trips
The cost must be $32 since that is the only cost possible for the 1st deal