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# A substance is 99% water. Some water evaporates, leaving a

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Intern
Joined: 12 Dec 2004
Posts: 33
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A substance is 99% water. Some water evaporates, leaving a [#permalink]  03 Jan 2005, 13:03
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A substance is 99% water. Some water evaporates, leaving a substance
that is 98% water. How much of the water evaporated?
VP
Joined: 30 Sep 2004
Posts: 1488
Location: Germany
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[#permalink]  03 Jan 2005, 14:00
1. (99-x)/100 = 98/100
2. 1 = x
3. solution is 1
VP
Joined: 30 Sep 2004
Posts: 1488
Location: Germany
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Kudos [?]: 101 [0], given: 0

[#permalink]  03 Jan 2005, 14:06
silly mistake:

1. 99-x/100-x = 98/100
2. 9900-100x = 9800-98x
3. 100 = 2x
4. 50 = x
Manager
Joined: 29 Jul 2004
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[#permalink]  03 Jan 2005, 14:45
(99-x)/(100-x)=.98

98-.98x=99-x

.02x=1

2x=100

x=50

If you double check, (99-50)/(100-50)=49/50

(49/50)*(2/2)=98/100=98%
Director
Joined: 07 Nov 2004
Posts: 690
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[#permalink]  03 Jan 2005, 17:27
[#permalink] 03 Jan 2005, 17:27
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# A substance is 99% water. Some water evaporates, leaving a

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