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Question 946023: Ethan is a car salesman. On Monday, he sells one third of the cars in the lot. On Tuesday, he sells one fourth of the remaining cars in the lot. If he sells half the cars remaining in the lot on Wednesday, what percentage of the original cars did he sell?
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! He sells 1/3 of the cars on monday
That means he has 2/3 left
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On tuesday, he sells (1/4)*(2/3) = 1/6
of these cars, leaving (3/4)*(2/3 = 3/6
3/6 = 1/2
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On wednesday, he sells (1/2)*(1/2) = 1/4
leaving 1/4 of the cars
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1 - 1/4 = 3/4 is he fraction he sold
He sold 75% of the original cars
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check
suppose he started with 300 cars
Monday he sells (1/3)*300 = 100
leaving 200
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tuesday he sells (1/4)*200 = 50
leaving 150 cars
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Wednesday he sells (1/2)*150 = 75 cars
leaving 75 cars
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In all, he sold 300 - 75 = 225 cars
225/300 = .75
.75*100 = 75%
OK
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