How many ounces of water must be added to a 30-ounce solution that is 40 ... ...

How many ounces of water must be added to a 30-ounce solution that is 40 percent alcohol to dilute the solution to 25 percent alcohol?
(A)    9
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Diagnostic/Review:

 
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Posted: 02/06/2013 11:44
The solution seems to be a bit over complicated. It's a simple concentration formula of C1V1 = C2V2. Where you solve for V2, which is the final volume needed for C2, which is the final concentration desired.

40%(30) = 25%(V2)
V2 = 48

Subtract the original volume from the final volume needed to get the answer of 18 to be added.
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Posted: 10/11/2013 08:38
I prefer this simpler method. How did you come up with V2=48? I think I'm missing something.
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Posted: 10/11/2013 09:43
40%(30) = 25%(V2)

40 multiplied by 30 = 1200

1200 divided by 25 = 48

V2 = 48
 
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How many ounces of water must be added to a 30-ounce solution that is 40 ... ... 
Posted: 12/22/2013 18:59
Why did you multiply 30 oz. by 40 instead of .4? Same with 25?
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Posted: 12/22/2013 19:05
In the equation C1V1 = C2V2, it doesn't matter. As long as both sides of the equation are using the same units. You get the same answer, but if you use 40 (because you are leaving it as a percent), then you need to use 25 on the other side; if you use .4 then you have to use .25.
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Posted: 12/22/2013 19:05
*Duplicate comment
 
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How many ounces of water must be added to a 30-ounce solution that is 40 ... ... 
Posted: 09/23/2014 07:32
I'm confused