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If (3a+2b)/(3a+4b)
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28 Apr 2021, 09:04
28 Apr 2021, 09:04
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Question Stats:
99% (02:18) correct
0% (00:00) wrong based on 7 sessions
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If \(\frac{(3a+2b)}{(7a+4b)}\) =\(\frac{15}{32}\), then what is \(\frac{(3a+b)}{7b}\)?
A. 1/3
B. 1/2
C. 2/3
D. 3/4
E. 4/5
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 1/3
B. 1/2
C. 2/3
D. 3/4
E. 4/5
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: If (3a+2b)/(3a+4b)
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02 May 2021, 03:43
02 May 2021, 03:43
Expert Reply
\(\frac{(3a+2b)}{(3a+4b)}=\frac{15}{32}\)
Cross multiply
\(96a+64b=105a+60b\)
\(4b=9a\)
\(a=\frac{4b}{9}\)
\(\frac{3a+b}{7b}\)=\(\frac{\frac{3*4b}{9+b}}{7b}\)=\(\frac{7b}{3*7b}\)=\(\frac{1}{3}\)
Cross multiply
\(96a+64b=105a+60b\)
\(4b=9a\)
\(a=\frac{4b}{9}\)
\(\frac{3a+b}{7b}\)=\(\frac{\frac{3*4b}{9+b}}{7b}\)=\(\frac{7b}{3*7b}\)=\(\frac{1}{3}\)
