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# How many passengers can be seated on a plane with r rows, if each row

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Math Expert
Joined: 02 Sep 2009
Posts: 52285
How many passengers can be seated on a plane with r rows, if each row  [#permalink]

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01 Mar 2018, 22:05
00:00

Difficulty:

15% (low)

Question Stats:

81% (00:39) correct 19% (00:51) wrong based on 42 sessions

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How many passengers can be seated on a plane with r rows, if each row consists of d double seats and t triple seats?

(A) rdt

(B) rd + rt

(C) 2dr + 3tr

(D) 3dr + 2tr

(E) rd + t

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Joined: 21 Aug 2013
Posts: 1432
Location: India
Re: How many passengers can be seated on a plane with r rows, if each row  [#permalink]

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01 Mar 2018, 22:45
Bunuel wrote:
How many passengers can be seated on a plane with r rows, if each row consists of d double seats and t triple seats?

(A) rdt

(B) rd + rt

(C) 2dr + 3tr

(D) 3dr + 2tr

(E) rd + t

'd' double seats means number of passengers which can sit = d*2 = 2d
and 't' triple seats means number of passengers which can sit = t*3 = 3t
Thus in each row, number of passengers which can be seated = 2d + 3t

In 'r' rows total = r* (2d + 3t) = 2dr + 3tr

Intern
Joined: 06 Oct 2017
Posts: 8
Re: How many passengers can be seated on a plane with r rows, if each row  [#permalink]

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15 Mar 2018, 15:02
Since rows consist of double and triple seats only, in which can sit $$2d$$ and $$3t$$ passengers, total number of passengers in a row is equal to $$2d + 3t$$

Therefore, total number of passengers in the plane is - $$r(2d +3t) = 2dr + 3tr$$

Re: How many passengers can be seated on a plane with r rows, if each row &nbs [#permalink] 15 Mar 2018, 15:02
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