SOLUTION: 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

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
--------------------------
On tuesday, he sells (1/4)*(2/3) = 1/6
of these cars, leaving (3/4)*(2/3 = 3/6
3/6 = 1/2
--------------------------
On wednesday, he sells (1/2)*(1/2) = 1/4
leaving 1/4 of the cars
---------------------
1 - 1/4 = 3/4 is he fraction he sold
He sold 75% of the original cars
-------------------------------------
check
suppose he started with 300 cars
Monday he sells (1/3)*300 = 100
leaving 200
--------------
tuesday he sells (1/4)*200 = 50
leaving 150 cars
-----------------
Wednesday he sells (1/2)*150 = 75 cars
leaving 75 cars
--------------
In all, he sold 300 - 75 = 225 cars
225/300 = .75
.75*100 = 75%
OK

RELATED QUESTIONS
Ethan is a car salesman. On Monday, he sells one third of the cars in the lot. On... (answered by Theo)

A salesman sells a car to one out of 20 customers. What is the probability that he will... (answered by Theo)

A car dealer sells 3 types of car. On the first day, he sells 3 cars of model A and 2 of... (answered by stanbon)

Man owns a car lot. He buys cars for $4500 and sells them for $10,000. If he loses $3500... (answered by jorel1380)

A used car salesman purchased a number of very old battered cars during the past month.... (answered by josmiceli)

Tim is a car salesman and earns 5% of the price of the cars he sells. Last month, he sold (answered by MathLover1)

tom likes to lie in bed in the morning. the probability that he is late for school is... (answered by stanbon)

A man travels to work by car or by train. There is a probability of 2/3 that he travels... (answered by Boreal)

Is it $6,520? I want to check my answer. Emanuel works as a car salesman. He makes $13 (answered by math_tutor2020)