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If b/a+b
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08 Jan 2018, 14:27
08 Jan 2018, 14:27
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Question Stats:
76% (00:38) correct
23% (00:39) wrong based on 113 sessions
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If \(\frac{b}{a+b} = \frac{7}{12}\), then what does \(\frac{a}{b}\) equal ?
A. \(\frac{7}{19}\)
B. \(\frac{5}{12}\)
C. \(\frac{5}{7}\)
D. \(\frac{7}{5}\)
E. \(\frac{19}{12}\)
_________________
A. \(\frac{7}{19}\)
B. \(\frac{5}{12}\)
C. \(\frac{5}{7}\)
D. \(\frac{7}{5}\)
E. \(\frac{19}{12}\)
_________________
Re: If b/a+b
[#permalink]
10 Jan 2018, 01:21
10 Jan 2018, 01:21
1
1
Bookmarks
Lets develop
7(a+b) = 12 b
7 a + 7b = 12b
7a = 5b
7a/b = 5
A/b = 5/7
So answer C
7(a+b) = 12 b
7 a + 7b = 12b
7a = 5b
7a/b = 5
A/b = 5/7
So answer C
If b/a+b
[#permalink]
10 Jan 2018, 10:47
10 Jan 2018, 10:47
2
Carcass wrote:
If \(\frac{b}{a+b} = \frac{7}{12}\), then what does \(\frac{a}{b}\) equal ?
A. \(\frac{7}{19}\)
B. \(\frac{5}{12}\)
C. \(\frac{5}{7}\)
D. \(\frac{7}{5}\)
E. \(\frac{19}{12}\)
A. \(\frac{7}{19}\)
B. \(\frac{5}{12}\)
C. \(\frac{5}{7}\)
D. \(\frac{7}{5}\)
E. \(\frac{19}{12}\)
Here's another approach that uses a often-tested property: (x + y)/z = x/z + y/z
If b/(a+b) = 7/12, then we can also say that (a + b)/b = 12/7
Applying the above property, we can write: a/b + b/b = 12/7
Simplify: a/b + 1 = 12/7
Subtract 1 from both sides to get: a/b = 12/7 - 1
Rewrite 1 as follows: a/b = 12/7 - 7/7
Evaluate: a/b = 5/7
Answer: C
_________________
Re: If b/a+b
[#permalink]
19 Aug 2019, 18:33
19 Aug 2019, 18:33
GreenlightTestPrep wrote:
Carcass wrote:
If \(\frac{b}{a+b} = \frac{7}{12}\), then what does \(\frac{a}{b}\) equal ?
A. \(\frac{7}{19}\)
B. \(\frac{5}{12}\)
C. \(\frac{5}{7}\)
D. \(\frac{7}{5}\)
E. \(\frac{19}{12}\)
A. \(\frac{7}{19}\)
B. \(\frac{5}{12}\)
C. \(\frac{5}{7}\)
D. \(\frac{7}{5}\)
E. \(\frac{19}{12}\)
Here's another approach that uses a often-tested property: (x + y)/z = x/z + y/z
If b/(a+b) = 7/12, then we can also say that (a + b)/b = 12/7
Applying the above property, we can write: a/b + b/b = 12/7
Simplify: a/b + 1 = 12/7
Subtract 1 from both sides to get: a/b = 12/7 - 1
Rewrite 1 as follows: a/b = 12/7 - 7/7
Evaluate: a/b = 5/7
Answer: C
RELATED VIDEO FROM OUR COURSE
I was able to get the correct answer with my own variation of what Popo did but I cannot seem to follow your explanation on this method. Can you be more detailed in this one if possible? When I try to figure out what you did specifically I get to where you flipped the numerators and denominators and I have no idea why you did that nor how it relates to the property (x + y)/z = x/z + y/z. Thank you.
Re: If b/a+b
[#permalink]
13 Feb 2023, 00:44
13 Feb 2023, 00:44
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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