SOLUTION: A group of students held a car wash to raise money. They charged $9 for each car and $12 for each van or SUV. Two teams worked continuously, one washing cars and the other washin

Question 841180: A group of students held a car wash to raise money. They
charged $9 for each car and $12 for each van or SUV. Two teams worked
continuously, one washing cars and the other washing vans and SUVs.
The team washing cars required 25% less time per vehicle than the other
team. Each team washed vehicles for 4 hours. The two teams together
raised a total of $720. How long, on average, did each team take to wash
a vehicle?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of cars the
car washing team washed in 4 hrs
Let = the number of vans and
SUVs the other team washed in 4 hrs
If I increase the ( time/vehicle ) for the car
washers by 25%, that equals the
( time/vehicle ) for the van/SUV washers
---------------------------------
(1)
(2)
--------------------------
Multiply both sides of (1) by
(1)
(1)
(1)
-------------------
Substitute (1) into (2)
(2)
(2)
(2)
Multiply both sides by
(2)
(2)
(2)
and
(1)
(1)
(1)
-------------------

and

-----------------
The car-washers average 9.75 vehicles/hr
The van/SUV washers average 7.75 vehicles/hr
check:
(2)
(2)
(2)
close enough
(1)
(1)
(1)
OK
You might want a 2nd opinion on this
the numbers seem a little strange

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