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# A school wishes to place few desks and few benches, at least one each,

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
A school wishes to place few desks and few benches, at least one each,  [#permalink]

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16 Oct 2018, 00:31
00:00

Difficulty:

65% (hard)

Question Stats:

42% (01:52) correct 58% (01:44) wrong based on 32 sessions

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A school wishes to place few desks and few benches, at least one each, along a corridor that is 16.5 meters long. Each desk is 2 meters long, and each bench is 1.5 meters long. How many maximum number of desks and benches can be placed along the corridor?

(A) 7
(B) 8
(C) 9
(D) 10
(E) 11

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Joined: 19 Oct 2013
Posts: 508
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: A school wishes to place few desks and few benches, at least one each,  [#permalink]

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16 Oct 2018, 13:47
Bunuel wrote:
A school wishes to place few desks and few benches, at least one each, along a corridor that is 16.5 meters long. Each desk is 2 meters long, and each bench is 1.5 meters long. How many maximum number of desks and benches can be placed along the corridor?

(A) 7
(B) 8
(C) 9
(D) 10
(E) 11

The question condition states that at least one each

We want to maximize the number of desks and benches in the corridor. How can we do that? by adding as many as possible from benches.

10 benches = 15

The maximum length is 16.5 so it cannot be 10 benches. It must be 9 and 1 desk.

Re: A school wishes to place few desks and few benches, at least one each,   [#permalink] 16 Oct 2018, 13:47
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