SOLUTION: The Girls Soccer team held a fundraising car wash. They charged 5$ of each car and 8$ for each van. They washed 44 cars and vans and collected 262$. How many of each vehicle did th

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Question 1094622: The Girls Soccer team held a fundraising car wash. They charged 5$ of each car and 8$ for each van. They washed 44 cars and vans and collected 262$. How many of each vehicle did they wash.
Found 2 solutions by greenestamps, MathTherapy:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

For 44 cars, the amount they collected would have been 44*5 = 220 dollars, but the total was 262 dollars, which is 42 dollars more.

Each van costs $3 more than each car. $42 "extra", divided by $3 "extra" for each van, means 42/3 = 14 vans. And that leaves 30 cars.

check: 30(5)+14(8) = 150+112 = 262

or, using algebra...

let x = the number of cars
then 44-x = number of vans

$5 for each car, plus $8 for each van, made a total of $262:

5%28x%29+%2B+8%2844-x%29+=+262
5x%2B352-8x+=+262
-3x+=+-90
x+=+30

number of cars: x = 30
number of vans: 44-x = 14

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The Girls Soccer team held a fundraising car wash. They charged 5$ of each car and 8$ for each van. They washed 44 cars and vans and collected 262$. How many of each vehicle did they wash.
Let the number of cars washed be C
Then number of vans washed = 44 - C
We then get: 5C + 8(44 - C) = 262
5C + 352 - 8C = 262
5C - 8C = 262 - 352
- 3C = - 90
C, or number of cars washed = highlight_green%28matrix%281%2C3%2C+%28-+90%29%2F%28-+3%29%2C+%22=%22%2C+30%29%29
Number of vans washed: highlight_green%28matrix%281%2C3%2C+44+-+30%2C+%22=%22%2C+14%29%29