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How many gallons of water must be mixed with 1 gallon of a 15% salt so

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How many gallons of water must be mixed with 1 gallon of a 15% salt so [#permalink]

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New post 15 Oct 2010, 09:20
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How many gallons of water must be mixed with 1 gallon of a 15% salt solution to obtain a 10% salt solution?

A. 0.50
B. 0.67
C. 1.00
D. 1.50
E. 2.00
[Reveal] Spoiler: OA
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Re: How many gallons of water must be mixed with 1 gallon of a 15% salt so [#permalink]

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New post 15 Oct 2010, 21:56
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rtaha2412 wrote:
Does anyone have a good strategy to solving solutions problems?

Question

How many gallons of water must be mixed with 1 gallon of a 15% salt solution to obtain a 10% salt solution?

A 0.50
b 0.67
c 1.00
d 1.50
e. 2.00


you are having 1 gallon of a 15% salt solution means you are having (15/100)*1 gallon of salt.

Now consider you are using x gallons of water and making it to (x+1) gallon of solution.now the salt content(15/100) will be the 10% of total solution.
Hence (10/100)(x+1)=15/100

Solving we get x=0.5 gallon.Answer is A.

Consider KUDOS if it is helpful to u.Thanks.
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Re: How many gallons of water must be mixed with 1 gallon of a 15% salt so [#permalink]

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New post 29 Nov 2016, 06:16
rtaha2412 wrote:
How many gallons of water must be mixed with 1 gallon of a 15% salt solution to obtain a 10% salt solution?

A. 0.50
B. 0.67
C. 1.00
D. 1.50
E. 2.00


Since we are adding pure water then the amount of salt in both solutions will be the same, so 0.15*1=0.1*(1+x) --> x=0.5.

Answer: A.
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Re: How many gallons of water must be mixed with 1 gallon of a 15% salt so   [#permalink] 29 Nov 2016, 06:16
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