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In a car dealer shop, 1/5 of the cars are red and 1/9 of the [#permalink]

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28 Nov 2005, 05:37

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4. In a car dealer shop, 1/5 of the cars are red and 1/9 of the cars are blue. 1/3 of the red cars are used cars, and 3/5 of the blue cars are used cars. What portion of cars are new cars?

A) 3/8 B) 5/13 C) 5/36 D) 5/48 E) 8/45
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Auge um Auge, Zahn um Zahn !

Last edited by gamjatang on 30 Nov 2005, 23:19, edited 2 times in total.

I am not getting any of the answers below. Say there are 45 cars in total.

Red cars = 1/5th = 9 Blue cars = 1/9th = 5

No of used red cars = 1/3rd of red = 3 No of used blue cars = 3/5 of blue = 3

Total used cars of 45 cars = 6 Assuming no other used cars, New cars = 39

Ratio of new cars to total = 39/45 = 13/15

Ok, I see where I am wrong.
No of used red cars = 1/3rd of red = 3 Therefore new red is 6
No of used blue cars = 3/5 of blue = 3 Therefore new blue is 2.

4. In a car dealer shop, 1/5 of the cars are red and 1/9 of the cars are blue. 1/3 of the red cars are used cars, and 3/5 of the blue cars are used cars. What portion of cars are new cars?

A) 3/8 B) 5/13 C) 5/36 D) 5/48 E) 8/45

Answer will be 8/45, if the question asks for What proprtion of cars are new red and blue cars. But since it doesn't explicity say that, how could this be 8/45. So I worked like remgeo to get 13/15.

Can someone correct me, if I am making a mistake.

My working were exactly same as that remgeo initial post.

This question looks screwed up to me ( pardon my language)-
It seems to indicate that there are other colors besides red and blue. So, no info is given on if there are other colored cars that are new/used. So, how can E be correct? It is only correct if the other colored cars are neither new nor used which is impossible.

This question looks screwed up to me ( pardon my language)- It seems to indicate that there are other colors besides red and blue. So, no info is given on if there are other colored cars that are new/used. So, how can E be correct? It is only correct if the other colored cars are neither new nor used which is impossible.

I agree with you. It is impossible to know the ratio.