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May 3rd, 2018, 08:02 AM  #1 
Senior Member Joined: Aug 2014 From: India Posts: 332 Thanks: 1  When should I add ratios in denominator?
Sometimes we add ratios in denominator like: a: b = 4: 1 a + b = 14 To know how much A is more than B then we add ratios in the denominator: 14 × 3/5 = 42/5 = 8.4% Sometimes we won't add ratios in denominator: X : Z = 13 : 9 X is 182. Then Z = 182 × 9/13 = 126 (here we didn't add ratios in denominator) When should I add ratios in denominator? 
May 3rd, 2018, 09:02 AM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,344 Thanks: 939  
May 3rd, 2018, 09:08 AM  #3 
Senior Member Joined: Aug 2014 From: India Posts: 332 Thanks: 1  
May 3rd, 2018, 09:30 AM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,344 Thanks: 939 
Well then, you're too smart for me...

May 3rd, 2018, 10:09 AM  #5  
Senior Member Joined: Feb 2010 Posts: 694 Thanks: 132  Quote:
It isn't that your question is different. It is that you cannot properly formulate a question without clouding it with obfuscation.  
May 3rd, 2018, 12:50 PM  #6 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894 
Saying a:b= 4:1 is the same as saying $\frac{a}{b}= \frac{4}{1}$ ad both are the same as saying that a=4b. Adding the condition that a+ b= 14 we have 4b+ b= 5b= 14 so b= 14/5 and a= 14 14/5= 56/5. a is 56/5 14/5= 42/5 more than b. That is. a is (42/5)/(14/5)= 42/14= 3 times or 300% "more than b". If that is NOT the question you are asking please tell us what the question is!


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