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# A secretary typed 6 letters, each of which had either 1 or 2 pages. If

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Math Expert
Joined: 02 Sep 2009
Posts: 51072
A secretary typed 6 letters, each of which had either 1 or 2 pages. If  [#permalink]

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19 Jul 2018, 22:26
00:00

Difficulty:

15% (low)

Question Stats:

85% (01:10) correct 15% (00:48) wrong based on 40 sessions

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A secretary typed 6 letters, each of which had either 1 or 2 pages. If the secretary typed 10 pages in all, how many of the letters had 2 pages?

A. 1
B. 2
C. 3
D. 4
E. 5

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Re: A secretary typed 6 letters, each of which had either 1 or 2 pages. If  [#permalink]

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19 Jul 2018, 22:59
Lets start by assigning pages to each letter.

Since each letter has atleast one page, we can assign one page to each of the 6 letters and we have 10 - 6 = 4 remaining pages.

Now we need to assign the remaining 4 pages to the letters.

Since the maximum number of pages for a letter is two, and each of the 6 letters already has one page, we can assign only one more page to any letter.

We have 4 pages remaining and 6 letters that can accept one more page, we can assign 4 pages to any of the 6 letters and still satisfy the constraint that any letter has either 1 or 2 pages.

Hence option D
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Re: A secretary typed 6 letters, each of which had either 1 or 2 pages. If &nbs [#permalink] 19 Jul 2018, 22:59
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# A secretary typed 6 letters, each of which had either 1 or 2 pages. If

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