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If in a certain shipment of new cars, the cost of car X is twice the

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If in a certain shipment of new cars, the cost of car X is twice the  [#permalink]

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New post 01 Feb 2018, 00:11
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Question Stats:

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If in a certain shipment of new cars, the cost of car X is twice the average of the other 11 cars in the shipment, what fraction of the total cost of 12 cars is the cost of car X ?

(A) 1/12

(B) 1/11

(C) 2/13

(D) 2/11

(E) 1/6

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If in a certain shipment of new cars, the cost of car X is twice the  [#permalink]

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New post 01 Feb 2018, 00:21
Bunuel wrote:
If in a certain shipment of new cars, the cost of car X is twice the average of the other 11 cars in the shipment, what fraction of the total cost of 12 cars is the cost of car X ?

(A) 1/12

(B) 1/11

(C) 2/13

(D) 2/11

(E) 1/6


Let the average price of the 11 cars be p.
Since, the cost of car X is twice the average, it must be 2p.

Therefore, Car X as a fraction of the total cost of 12 cars is \(\frac{2p}{2p+11p} = \frac{2p}{13p} = \frac{2}{13}\)(Option C)
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If in a certain shipment of new cars, the cost of car X is twice the  [#permalink]

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New post 01 Feb 2018, 15:20
Bunuel wrote:
If in a certain shipment of new cars, the cost of car X is twice the average of the other 11 cars in the shipment, what fraction of the total cost of 12 cars is the cost of car X ?

(A) 1/12

(B) 1/11

(C) 2/13

(D) 2/11

(E) 1/6

Another approach: Assign values

1) Assigned values
Let 11 cars' average cost = $1
Car X cost is twice that average: (2 * $1) = $2

2) Total Cost of 11 cars + Car X?
Total cost of 11 cars:
A * n = Sum
($1 * 11) = $11 total for all 11 cars

Total Cost of all 12 cars =
(TC of 11 cars) + (Cost of Car X)
Total Cost of 12 cars: $11 + $2 = $13

3) Car X as fraction of total cost?

Fraction: \(\frac{CarXcost}{TotalCost12cars}=\frac{$2}{$13}=\frac{2}{13}\)

Answer C
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Re: If in a certain shipment of new cars, the cost of car X is twice the  [#permalink]

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New post 02 Feb 2018, 12:21
Bunuel wrote:
If in a certain shipment of new cars, the cost of car X is twice the average of the other 11 cars in the shipment, what fraction of the total cost of 12 cars is the cost of car X ?

(A) 1/12

(B) 1/11

(C) 2/13

(D) 2/11

(E) 1/6


We can let the average of the 11 cars = n, so the cost of car X is 2n, and thus the total cost of all the cars in the shipment is:

11n + 2n = 13n

Now we can determine what fraction X is of the 12 cars:

2n/13n = 2/13

Answer: C
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If in a certain shipment of new cars, the cost of car X is twice the  [#permalink]

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New post 03 Feb 2018, 19:24
Avg of 11 = a
cost of X = 2a
total cost = 13a
fraction = 2a/13a=2/13 Answer "C"

Took 2 mins :( :(
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Re: If in a certain shipment of new cars, the cost of car X is twice the  [#permalink]

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New post 16 Feb 2018, 07:23
I picked numbers!

Let's assume that all the other 11 cars cost 5€ each
X = 2x5 and the total cost of the other 11 cars would be 55, hence the total cost of the 12 cars will be 55+10 = 65

10/65 --> 2/13, answer choice C
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Re: If in a certain shipment of new cars, the cost of car X is twice the &nbs [#permalink] 16 Feb 2018, 07:23
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