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# M08-37

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Math Expert
Joined: 02 Sep 2009
Posts: 54371

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16 Sep 2014, 00:38
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1
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Difficulty:

25% (medium)

Question Stats:

82% (00:50) correct 18% (01:28) wrong based on 88 sessions

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If 160 kg of dry wood pulp is needed to produce 50 sheets of paper, how much raw pulp will be needed to produce 200 sheets of paper if raw pulp loses 20 percent of its weight during desiccation?

A. 400
B. 600
C. 640
D. 800
E. 850

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Math Expert
Joined: 02 Sep 2009
Posts: 54371

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16 Sep 2014, 00:38
1
Official Solution:

If 160 kg of dry wood pulp is needed to produce 50 sheets of paper, how much raw pulp will be needed to produce 200 sheets of paper if raw pulp loses 20 percent of its weight during desiccation?

A. 400
B. 600
C. 640
D. 800
E. 850

Let $$X$$ denote the required amount of raw pulp. $$X$$ kg of raw pulp will turn into $$0.8X$$ kg of dry pulp after desiccation. Compose a proportion:

$$\frac{0.8X}{200} = \frac{160}{50}$$, so $$X = 800$$.

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Intern
Joined: 28 May 2014
Posts: 31
Schools: ISB '17, NUS '17

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09 Aug 2016, 14:49
i took 80% of 160/50 (per sheet require pulp) and then multiplied it with 200. Whats wrong with this method Bunuel?
Intern
Joined: 12 Jul 2016
Posts: 3

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11 Aug 2016, 07:00
I did this at first too but notice the key word in the question is dry: 160 kg of DRY wood. Therefore, you have to determine how much raw wood was used to create the 50 sheets.

if 160 is after the reduction, then 160=x-.2x or 160=.8x. Therefore 200kg raw wood creates 50 sheets. Multiply by 4 to obtain amount for 200 sheets and you receive answer D, 800.
Intern
Joined: 28 Dec 2016
Posts: 2

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02 Jul 2017, 12:40
I took up too much time on an easy question doing it by hand, but I felt at the moment I needed to get this right.

I calculated 160kg (DRY)/50sheets = 3.2kg (DRY) per sheet

1.2*(3.2kg (DRY) per sheet) = 3.84kg (RAW) per sheet

then just multiply by 200 sheets ~=800 kg RAW

(All CAPS to over emphasize in my head so that I don't get mixed up along the way).
M08-37   [#permalink] 02 Jul 2017, 12:40
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# M08-37

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