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Solution A is 99 percent water by weight

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Solution A is 99 percent water by weight  [#permalink]

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New post 02 Nov 2018, 08:24
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Solution A is 99 percent water by weight. If 100 pounds of the solution is left in the sun until enough water (but nothing else) has evaporated for the remaining solution to be 98 percent water, how many pounds does that remaining amount weigh?

A. 49
B. 50
C. 95
D. 98
E. 99

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Solution A is 99 percent water by weight  [#permalink]

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New post 02 Nov 2018, 08:35
Let the pound of water evaporated be x.
99-x / 100-x = 98/100
9900- 100x = 9800 - 98x
2x = 100
x = 50

Remaining solution weigh 100-50 = 50 pounds
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Re: Solution A is 99 percent water by weight  [#permalink]

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New post 03 Nov 2018, 03:35
gmat1393 wrote:
Solution A is 99 percent water by weight. If 100 pounds of the solution is left in the sun until enough water (but nothing else) has evaporated for the remaining solution to be 98 percent water, how many pounds does that remaining amount weigh?

A. 49
B. 50
C. 95
D. 98
E. 99


Alternatively, in such questions it is always a good idea to focus on what remains unchanged. Solution A has 99% water and 1% say sugar. When left in the sun, sugar stays put and becomes 2% of the remaining mix.

(1/100)*100 pounds = (2/100)* X pounds
X = 50 pounds

Answer (B)
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Re: Solution A is 99 percent water by weight  [#permalink]

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New post 03 Nov 2018, 17:53
gmat1393 wrote:
Solution A is 99 percent water by weight. If 100 pounds of the solution is left in the sun until enough water (but nothing else) has evaporated for the remaining solution to be 98 percent water, how many pounds does that remaining amount weigh?

A. 49
B. 50
C. 95
D. 98
E. 99


We see that the solution is 99 pounds of water and 1 pound of something else. Let x = the amount of water evaporated so the remaining solution is 98% water. We can create the equation:

(99 - x)/(100 - x) = 98/100

100(99 - x) = 98(100 - x)

9900 - 100x = 9800 - 98x

100 = 2x

50 = x

Since 50 pounds of water of the 100-pound solution evaporated, 50 pounds of the solution still remain.

Answer: B
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Re: Solution A is 99 percent water by weight   [#permalink] 03 Nov 2018, 17:53
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