SOLUTION: the outdoors club held a car wash to raise money they washed cars for 5$ each and vans for 7$ each. they washed 45 vehicles and earned 243$. how many o each vehicle did they wash?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the outdoors club held a car wash to raise money they washed cars for 5$ each and vans for 7$ each. they washed 45 vehicles and earned 243$. how many o each vehicle did they wash?       Log On


   

Question 940259: the outdoors club held a car wash to raise money they washed cars for 5$ each and vans for 7$ each. they washed 45 vehicles and earned 243$. how many o each vehicle did they wash? FULL SOLUTIONS?!?!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the outdoors club held a car wash to raise money they washed cars for 5$ each and vans for 7$ each. they washed 45 vehicles and earned 243$. how many o each vehicle did they wash?
------------------
Equation:
Quantity:: c + v = 45 vehicles
Value:::: 5c + 7v = 2435 dollars
------------------------
Modify for elimination::
5c + 5v = 5*45
5c + 7v = 243
--------
Subtract and solve for "v":
2v = 18
v = 9 (# of vans washed)
----
Solve for "c"::
c + 9 = 45
c = 36 (# of cars washed)
==================
Cheers,
Stan H.
------------------