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A 48 gallon solution of salt and water is 10% salt. How many gallons
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10 Jun 2016, 01:53
10 Jun 2016, 01:53
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A 48 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
A. 8
B. 12
C. 13
D. 14
E. 16
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A. 8
B. 12
C. 13
D. 14
E. 16
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Re: A 48 gallon solution of salt and water is 10% salt. How many gallons
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10 Jun 2016, 02:16
10 Jun 2016, 02:16
3
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Expert Reply
Bunuel wrote:
A 48 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
A. 8
B. 12
C. 13
D. 14
E. 16
A. 8
B. 12
C. 13
D. 14
E. 16
Amount of salt = 4.8
Assume x gallons of water are added.
4.8 / 48 + x = 8/100
480 = 8x + 384
8x = 96
x = 12
Correct Option: B
General Discussion
Re: A 48 gallon solution of salt and water is 10% salt. How many gallons
[#permalink]
10 Jun 2016, 03:37
10 Jun 2016, 03:37
2
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Amount of salt = 10% of 48 = 4.8 gallons
this 4.8 gallons will be 8% of new mixture
therefore,
resulting mixture = 4.8/0.08 = 60 gallons
gallons to be added = 60-48 = 12 gallons,, option B
this 4.8 gallons will be 8% of new mixture
therefore,
resulting mixture = 4.8/0.08 = 60 gallons
gallons to be added = 60-48 = 12 gallons,, option B
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Re: A 48 gallon solution of salt and water is 10% salt. How many gallons
[#permalink]
10 Jun 2016, 04:35
10 Jun 2016, 04:35
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N1*V1=N2*V2
10*48 = 8*V2
V2=60 --> 60-48 = 12
10*48 = 8*V2
V2=60 --> 60-48 = 12
Re: A 48 gallon solution of salt and water is 10% salt. How many gallons
[#permalink]
10 Jun 2016, 21:05
10 Jun 2016, 21:05
let x=gallons of water to be added
.9(48)+x=.92(48+x)
x=12 gallons
.9(48)+x=.92(48+x)
x=12 gallons
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Re: A 48 gallon solution of salt and water is 10% salt. How many gallons
[#permalink]
11 Jun 2016, 05:18
11 Jun 2016, 05:18
1
Kudos
Bunuel wrote:
A 48 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
A. 8
B. 12
C. 13
D. 14
E. 16
A. 8
B. 12
C. 13
D. 14
E. 16
Attachment:
Capture.PNG [ 2.49 KiB | Viewed 10684 times ]
Now we get 8% = 4.8
So, 100% = 4.8/8*100
Hence , 100% = 60
We know 48 + x = 60
So, X = 12
Hence answer must be (B) 12
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A 48 gallon solution of salt and water is 10% salt. How many gallons
[#permalink]
13 Jun 2016, 11:08
13 Jun 2016, 11:08
2
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Bunuel wrote:
A 48 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
A. 8
B. 12
C. 13
D. 14
E. 16
A. 8
B. 12
C. 13
D. 14
E. 16
Let the quantity of water to be added be X liters.
Quantity of Salt in the gallon = 10/100 ( 48) = 4.8 liters.
=> 4.8 = 0.08 ( 48 + X ) ( Here the quantity remains same but the concentration gets diluted, since we add X liters of water.
=> 48 = 8/10 ( 48 + X )
=> 480 = 384 + 8X
=> 96 = 8X
=> X =12. ---> Choice B.
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Re: A 48 gallon solution of salt and water is 10% salt. How many gallons
[#permalink]
01 Jul 2017, 17:04
01 Jul 2017, 17:04
Backsolve. I started with B because it was easy.
48+12=60.
8% of 60=4.8
Answer is B
48+12=60.
8% of 60=4.8
Answer is B
A 48 gallon solution of salt and water is 10% salt. How many gallons
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02 Jul 2017, 14:21
02 Jul 2017, 14:21
1
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Expert Reply
Bunuel wrote:
A 48 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
A. 8
B. 12
C. 13
D. 14
E. 16
A. 8
B. 12
C. 13
D. 14
E. 16
Let x = amount of water to be added.
Water is 0% salt. It is added in on LHS to track on the idea that two quantities are being mixed (the 10% solution and water)**
(.10)(48) + 0x = (.08)(48 + x)
4.8 + 0x = 3.84 + .08x
.96 = .08x ---> 96 = 8x
x = 12
Answer B
**Method
Let 48 gallon solution = A
Let water to be added = B
A + B = Total volume of resultant solution
(A's Concentration)(A's Volume) + (B's Concentration)(B's Volume) = (Desired Concentration)(Total Volume of resultant solution)
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Re: A 48 gallon solution of salt and water is 10% salt. How many gallons
[#permalink]
04 Dec 2017, 10:40
04 Dec 2017, 10:40
snorkeler wrote:
N1*V1=N2*V2
10*48 = 8*V2
V2=60 --> 60-48 = 12
10*48 = 8*V2
V2=60 --> 60-48 = 12
can we use this formula in the below question
https://gmatclub.com/forum/how-many-lit ... ml#p903692
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Re: A 48 gallon solution of salt and water is 10% salt. How many gallons
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11 Jan 2018, 14:59
11 Jan 2018, 14:59
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Expert Reply
Bunuel wrote:
A 48 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
A. 8
B. 12
C. 13
D. 14
E. 16
A. 8
B. 12
C. 13
D. 14
E. 16
Currently we have 0.1 x 48 = 4.8 gallons of salt. We can let the amount of water added = y; thus:
4.8/(48 + y) = 8/100
4.8(100) = 8(48 + y)
480 = 384 + 8y
96 = 8y
12 = y
Alternate Solution:
We have 48 gallons of a 10% solution. We will add x gallons of water (0% solution), which will yield (48 + x) gallons of an 8% solution. Putting this into an equation, we have:
48(0.10) + x(0.0) = (48 + x)(0.08)
4.8 = 0 = 3.84 + 0.08x
0.96 = 0.08x
96 = 8x
x = 12
Answer: B
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A 48 gallon solution of salt and water is 10% salt. How many gallons
[#permalink]
04 Sep 2020, 20:08
04 Sep 2020, 20:08
Bunuel wrote:
A 48 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
A. 8
B. 12
C. 13
D. 14
E. 16
A. 8
B. 12
C. 13
D. 14
E. 16
10% of 48 = 4.8 gallons of salt
4.8*100/(48+x)=8
Therefore, x=12
Answer is Option B
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A 48 gallon solution of salt and water is 10% salt. How many gallons
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05 Sep 2020, 02:43
05 Sep 2020, 02:43
1
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Expert Reply
The 48-gallon solution of salt and water is 10% salt.
=> 4.8 is salt and 43.2 is water
Water is to be added so that salt in the new solution is 8%.
=> \(\frac{{4.8} }{ {48 + w}}\) = \(\frac{8}{100 }\)
=> 480 = 8x + 384
=> 8x = 96
=> x = 12
Answer B
=> 4.8 is salt and 43.2 is water
Water is to be added so that salt in the new solution is 8%.
=> \(\frac{{4.8} }{ {48 + w}}\) = \(\frac{8}{100 }\)
=> 480 = 8x + 384
=> 8x = 96
=> x = 12
Answer B
Re: A 48 gallon solution of salt and water is 10% salt. How many gallons
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23 Aug 2022, 00:29
23 Aug 2022, 00:29
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Re: A 48 gallon solution of salt and water is 10% salt. How many gallons [#permalink]
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