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# In the inventory at a certain car dealership, 2/3 of the cars are four

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Math Expert
Joined: 02 Sep 2009
Posts: 58340
In the inventory at a certain car dealership, 2/3 of the cars are four  [#permalink]

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19 Feb 2019, 03:22
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:49) correct 28% (02:53) wrong based on 32 sessions

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In the inventory at a certain car dealership, 2/3 of the cars are four-door sedans and 2/5 of the rest are SUVs. If the remaining 24 vehicles are pickup trucks, how many vehicles are in the inventory at the car dealership?

A. 60
B. 90
C. 120
D. 180
E. 240

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Re: In the inventory at a certain car dealership, 2/3 of the cars are four  [#permalink]

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19 Feb 2019, 04:03
Bunuel wrote:
In the inventory at a certain car dealership, 2/3 of the cars are four-door sedans and 2/5 of the rest are SUVs. If the remaining 24 vehicles are pickup trucks, how many vehicles are in the inventory at the car dealership?

A. 60
B. 90
C. 120
D. 180
E. 240

Let us consider the total number of cars at the dealership be x.

Hence:
4 door sedans = 2x/3
SUVs = (x/3)*2/5 = 2x/15
Remaining cars = (x/3)*(3/5) = x/5

We have been told that x/5 = 24
=> x = 120

Hence C is the correct answer.
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In the inventory at a certain car dealership, 2/3 of the cars are four  [#permalink]

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19 Feb 2019, 04:05
Bunuel wrote:
In the inventory at a certain car dealership, 2/3 of the cars are four-door sedans and 2/5 of the rest are SUVs. If the remaining 24 vehicles are pickup trucks, how many vehicles are in the inventory at the car dealership?

A. 60
B. 90
C. 120
D. 180
E. 240

let total cars = x
so sedan ; 2x/3
left x/3 * 2/5 = SUV; 2x/15
now remaing cars
x/3 * 3/5 = x/5
x/5 = 24 ; x = 120
IMO C
In the inventory at a certain car dealership, 2/3 of the cars are four   [#permalink] 19 Feb 2019, 04:05
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