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

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Intern
Joined: 18 Dec 2006
Posts: 39
If in a certain shipment of new cars, the cost of car X is [#permalink]

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18 Jul 2008, 09:48
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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

sure it is easy, but, please, help
thanks
SVP
Joined: 30 Apr 2008
Posts: 1874
Location: Oklahoma City
Schools: Hard Knocks

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18 Jul 2008, 10:42
C

This is a good problem to plug in some numbers.

There are 12 cars...1 that is twice the average of the other 11.

Lets pick $100 as the average price for each of those other 11 for a total of$1100. Now car #12 costs twice the average of the others, so it's $200. Now we add it all together 1100 + 200 =$1300 for all 12 cars. The fraction will be Car#12 / Total price of all cars.

$$\frac{200}{1300} = \frac{2}{13}$$

I may be missing something.

Zaur 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

sure it is easy, but, please, help
thanks

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Joined: 27 May 2008
Posts: 541

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18 Jul 2008, 18:30
Zaur 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

sure it is easy, but, please, help
thanks

without plugging numbers

x = 2 * (sum of 11 cars)/11
sum of 11 cars = 11x/2

sum of 12 cars = 11x/2 + x = 13x/2

fraction = x / sum of 12 cars = 2/13
Re: PS   [#permalink] 18 Jul 2008, 18:30
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