Write an equation that models the number of cars and trucks you would need to wash to make your goal.

Question

1)    Your team is doing carwash fundraiser next week and plans to charge $10 per car and $15 per truck. Your team hopes to make $500. Write an equation that models the number of cars and trucks you would need to wash to make your goal.

Answer 1

You have 2 things that you don't know...

How many Cars to Wash...Call it C

How many Trucks to Wash...Call it T

each car costs $10

each truck costs $15

you want to get at least $500

all the money you get from cars is 10 • C

all the money you get from trucks is 15 • T

so you want the sum of all the money from cars and all the money from trucks to get you AT LEAST $500

10C + 15T = 500

BUT WAIT!

you want AT LEAST $500 but you are willing to earn MORE money!

So its

10C + 15T ≥ 500

Answer 2

10c + 15t = 500