- ...
- Hi Cindy! I wanted to organize a fundraiser for our basket-ball team.
- Everyone will love it! I'll organize it now.
- That's a great idea. How about a car wash?
- Yay, sounds great!
- We washed 47 vehicles in total and we raised $295.
- So today, we charged $5 for cars and $9 for vans.
- Car Wash (5$/car and 9$/van
- So how many cars and vans did we wash in total?
- First method is elimination.
- Let's find out how many cars and vans we washed
- #1: 5c + 9v= 295#2: 5c + 5v= 235
- #1: 5c + 9v= 295#2: c + v= 47
- #1: 5c + 9v= 295#2: (c + v= 47)5
- 5c - 5c + 9v - 5v = 295 - 235
- y= mx + b
- 4v = 60 4 4
- v = 15
- Let "c"= carsLet "v"= vans
- Now we'll plug it in the equation
- c + 15= 47
- c + v= 47
- c= 32
- Therefore, we washed 15 vans and 32 cars in total today.
- c= 47 - 15
- First we have to solve for one of the variables in an equation
- Then we'll solve the it using the substitution method just to verify our answer
- 5(47 - v) + 9v= 295
- 235 - 5v + 9v= 295
- c + v= 47
- 235 + 4v= 295
- c= 47 - v
- 4v = 60 4 4
- 5c + 9v= 295
- {
- v = 15
- 4v= 295 - 235
- But this time we'll use the other equation to prove our answer is correct.
- Now we'll plug it in the equation like we did before.
- 5c + 9(15)= 295
- 5c + 135= 295
- Therefore, we washed 15 vans and 32 cars in total today.
- 5c + 9v= 295
- c= 32
- 5c= 295 - 135
- 5c= 1605 5