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Retired Moderator
Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
A makes up 8 percent of solution R and 18 percent
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14 Dec 2015, 06:12
14 Dec 2015, 06:12
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Question Stats:
84% (01:36) correct
15% (01:38) wrong based on 199 sessions
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By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?
A. 10%
B. 13%
C. 15%
D. 19%
E. 26%
_________________
A. 10%
B. 13%
C. 15%
D. 19%
E. 26%
Practice Questions
Question: 9
Page: 152
Difficulty: medium
Question: 9
Page: 152
Difficulty: medium
_________________
Sandy
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A makes up 8 percent of solution R and 18 percent
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11 Feb 2019, 11:14
11 Feb 2019, 11:14
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sandy wrote:
By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?
A. 10%
B. 13%
C. 15%
D. 19%
E. 26%
A. 10%
B. 13%
C. 15%
D. 19%
E. 26%
When solving mixture questions, I often find it useful to sketch the solutions with the ingredients SEPARATED.
We have 3 grams of solution R, which is comprised of 8% liquid A
So, 8% of the 3 grams will be liquid A
8% of 3 = (0.08)(3) = 0.24
So, solution R consists of 0.24 grams of liquid A
We'll now ADD 7 grams of solution S, which is comprised of 18% liquid A
18% of 7 = (0.18)(7) = 1.26
So, solution S consists of 1.26 grams of liquid A
Liquid A accounts for what percent of the weight of the resulting solution?
When we combine the solutions BY PARTS, we get the following:
So, liquid A makes up 1.5 grams of the 10 grams in the resulting solution.
1.5/10 = 15/100 = 15%
Answer: C
Cheers,
Brent
RELATED VIDEO
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General Discussion
Retired Moderator
Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Re: A makes up 8 percent of solution R and 18 percent
[#permalink]
14 Dec 2015, 06:19
14 Dec 2015, 06:19
2
Expert Reply
Solution
Here we are mixing two solutions R and S. the percentages of A in the two solutions are 8% and 18% respectively. So the resultant mixture will also contain liquid A. and it will also depend on the weights of R and S
We can write that %A in mixture = \(\frac{(3 * 8% + 7 *18%)}{(3 +7)}\) the result is almost equal to 15%. Hence 15% is the right answer.
_________________
Here we are mixing two solutions R and S. the percentages of A in the two solutions are 8% and 18% respectively. So the resultant mixture will also contain liquid A. and it will also depend on the weights of R and S
We can write that %A in mixture = \(\frac{(3 * 8% + 7 *18%)}{(3 +7)}\) the result is almost equal to 15%. Hence 15% is the right answer.
_________________
Sandy
If you found this post useful, please let me know by pressing the Kudos Button
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Re: A makes up 8 percent of solution R and 18 percent
[#permalink]
14 Jul 2016, 08:22
14 Jul 2016, 08:22
I chose Answer C, but it was considered wrong!
sandy wrote:
Solution
Here we are mixing two solutions R and S. the percentages of A in the two solutions are 8% and 18% respectively. So the resultant mixture will also contain liquid A. and it will also depend on the weights of R and S
We can write that %A in mixture = \(\frac{(3 * 8% + 7 *18%)}{(3 +7)}\) the result is almost equal to 15%. Hence 15% is the right answer.
Here we are mixing two solutions R and S. the percentages of A in the two solutions are 8% and 18% respectively. So the resultant mixture will also contain liquid A. and it will also depend on the weights of R and S
We can write that %A in mixture = \(\frac{(3 * 8% + 7 *18%)}{(3 +7)}\) the result is almost equal to 15%. Hence 15% is the right answer.
Re: A makes up 8 percent of solution R and 18 percent
[#permalink]
01 Aug 2016, 10:51
01 Aug 2016, 10:51
sandy wrote:
By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?
A. 10%
B. 13%
C. 15%
D. 19%
E. 26%
A. 10%
B. 13%
C. 15%
D. 19%
E. 26%
Practice Questions
Question: 9
Page: 152
Difficulty: medium
Question: 9
Page: 152
Difficulty: medium
Why does it shows "E" as the correct answer,whereas,it should be "C". Answer is incorrect.
Retired Moderator
Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Re: A makes up 8 percent of solution R and 18 percent
[#permalink]
02 Aug 2016, 03:56
02 Aug 2016, 03:56
Expert Reply
Fixed. Thanks for pointing that out.
Hope you find this forum informative and useful.
Regards,
_________________
Hope you find this forum informative and useful.
Regards,
_________________
Sandy
If you found this post useful, please let me know by pressing the Kudos Button
Try our free Online GRE Test
If you found this post useful, please let me know by pressing the Kudos Button
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Re: A makes up 8 percent of solution R and 18 percent
[#permalink]
02 Aug 2016, 10:22
02 Aug 2016, 10:22
sandy wrote:
Fixed. Thanks for pointing that out.
Hope you find this forum informative and useful.
Regards,
Hope you find this forum informative and useful.
Regards,
Thanks
.......Junayed
A makes up 8 percent of solution R and 18 percent
[#permalink]
11 Feb 2019, 11:20
11 Feb 2019, 11:20
1
Expert Reply
sandy wrote:
By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?
A. 10%
B. 13%
C. 15%
D. 19%
E. 26%
A. 10%
B. 13%
C. 15%
D. 19%
E. 26%
Another approach is to use the Weighted Averages formula:
Weighted average of groups combined = (group A proportion)(group A average) + (group B proportion)(group B average) + (group C proportion)(group C average) + ...
The weight of the resulting solution is 10 grams (3 grams + 7 grams = 10 grams)
Solution R makes up 3/10 of the resulting solution.
Solution R is comprised of 8% liquid A
Solution S makes up 7/10 of the resulting solution.
Solution S is comprised of 18% liquid A
Apply the formula to get:
% liquid A in final solution = (3/10)(8) + (7/10)(18)
= 24/10 + 126/10
= 150/10
= 15%
Answer: C
Cheers,
Brent
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_________________
Re: A makes up 8 percent of solution R and 18 percent
[#permalink]
30 Jul 2019, 08:38
30 Jul 2019, 08:38
Sandy, regarding: 3∗8/(3+7)
Shouldn't it be (3*0.8 + 0.18*7)/3+7
which would give (0.24 + 1.26)/10
= 1.5/10
= 0.15
= 15%
Shouldn't it be (3*0.8 + 0.18*7)/3+7
which would give (0.24 + 1.26)/10
= 1.5/10
= 0.15
= 15%
Re: A makes up 8 percent of solution R and 18 percent
[#permalink]
27 Apr 2020, 13:56
27 Apr 2020, 13:56
1
=(portion) * (percent) of A + (portion) * (percent) of B
= 3/(3+7) * .08 + 7/(3+7) * 0.18
= .024 + .126
= .15 = 15%
Other Method:
R(3)-----------------S(7)
8%----------x--------18%
x-8------------------18-x
18-x/x-8 = 3/7
x=15
_________________
= 3/(3+7) * .08 + 7/(3+7) * 0.18
= .024 + .126
= .15 = 15%
Other Method:
R(3)-----------------S(7)
8%----------x--------18%
x-8------------------18-x
18-x/x-8 = 3/7
x=15
_________________
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Re: A makes up 8 percent of solution R and 18 percent
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13 Jun 2022, 12:13
13 Jun 2022, 12:13
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