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Each of the cucumbers in 100 pounds of cucumbers is composed

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Intern
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Joined: 14 Aug 2015
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Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

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New post 08 Mar 2016, 06:28
Let w equal the amount of water in pounds
(98 / 100) = w / (1+w) where (1+w) is the weight of the cucumber in pounds
Solve for w.
w = 49 pounds of water
49 pounds of water + 1 pounds of non-water = 50 pounds of cucumber
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Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

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New post 13 Mar 2016, 20:58
shrive555 wrote:
Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 98% water by weight. What is the new weight of the cucumbers, in pounds?

A. 2
B. 50
C. 92
D. 96
E. 98


Let w1 pounds of water evaporate.

New weight of water = 99-w1 --- (1)
New weight of water is also= 98% of (100-w1) -- (2)

Equating 1 and 2, w1=50 pounds. New weight of cucumber = 100-50=50 pounds
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Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

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New post 13 Mar 2016, 21:15
shrive555 wrote:
Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 98% water by weight. What is the new weight of the cucumbers, in pounds?

A. 2
B. 50
C. 92
D. 96
E. 98

In 100 pounds, 99 pounds are water that makes 99% water content; the ratio is 99:1
To get 98% water content, the ratio has to be 98:2; that is possible only if it is reduced to 49:1
That implies 50 pounds are evaporated.
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Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

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New post 09 Apr 2018, 16:33
shrive555 wrote:
Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 98% water by weight. What is the new weight of the cucumbers, in pounds?

A. 2
B. 50
C. 92
D. 96
E. 98


We see that 99 pounds is water and 1 pound is cucumber. Letting w = the number of pounds of water that evaporates, we can create the following equation:
(99 - w)/(100 - w) = 98/100

Cross-multiplying, we have:

100(99 - w) = 98(100 - w)

9900 - 100w = 9800 - 98w

100 = 2w

50 = w

The cucumbers have lost 50 pounds of water, so the new weight of the cucumbers is 100 - 50 = 50 pounds.

Answer: B
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Re: Each of the cucumbers in 100 pounds of cucumbers is composed &nbs [#permalink] 09 Apr 2018, 16:33

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