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# According to a car dealer's report, 1/3 of the cars sold

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Director
Joined: 12 Jun 2006
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According to a car dealer's report, 1/3 of the cars sold [#permalink]  17 Oct 2006, 13:38
According to a car dealer's report, 1/3 of the cars sold during a certain period were sedans and 1/5 of the other cars sold were station wagons. If N station wagons were sold during that period, how many sedans, in terms of N, were sold?

Question:
Since 1/3 of the cars sold during a certain period were sedans can we assume that there are only 2 types of cars and 2/3 of the cars sold during that same period were wagons. Likewise, can we assume that 4/5 of the other cars were sedans?
Manager
Joined: 04 Oct 2006
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I would read that as there are other types of cars, so only 1/3 of the cars are sedans and only 1/5 of the rest are wagons. The remainder is occupied by a different type of car
Director
Joined: 23 Jun 2005
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Re: I'm not looking for the answer yet. First, one question [#permalink]  17 Oct 2006, 15:39
ggarr wrote:
According to a car dealer's report, 1/3 of the cars sold during a certain period were sedans and 1/5 of the other cars sold were station wagons. If N station wagons were sold during that period, how many sedans, in terms of N, were sold?

Question:
Since 1/3 of the cars sold during a certain period were sedans can we assume that there are only 2 types of cars and 2/3 of the cars sold during that same period were wagons. Likewise, can we assume that 4/5 of the other cars were sedans?

Nope, it is apparent that there were more than two types of cars sold during that period. Otherwise, it'd be 1/3rd sedans and 2/3rd wagons.

Proportion of other cars sold = 1- 1/3 = 2/3
Proportion of wagons = 2/3 *1/5 = 2/15.
Re: I'm not looking for the answer yet. First, one question   [#permalink] 17 Oct 2006, 15:39
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