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Orange juice concentrate is mixed with water in the ratio 2 : 5. This mixture is then mixed with lemonade in the ratio 3 : 4. What is the ratio of orange-juice concentrate to lemonade in the final mixture

 May 7, 2015

Best Answer 

 #2
avatar+110154 
+10

Thanks Chris, 

I like this question and your answer.

I do rations in rather weird ways.  For basic quesions my way is REALLY easy.

BUT for harder questions I often get in a mess.

This is how I tacked this one.

Orange orange and wter water lemonade
2*(3/7)   5*(3/7)  
  7*(3/7)   4
  3   4
6/7   15/7 4

 

So the ratio of orange juice to lemonade is    6/7   :   4      = 6:28  =      3:14

 May 7, 2015
 #1
avatar+111437 
+10

 

 

 

For every 7  gallons of water in the original mixture, the orange juice concentrate comprises 2 gallons.

 

So, if this 7 gallons  is mixed with lemonade in a ratio of 3 : 4....there must be  7 x (4/3)  = 28/3  gallons of

lemonade in this mixture.

 

Then the ratio of orange juice concentrate to lemonade in this mixture is   2  : 28/3    =  6 : 28 =  3 : 14

 

 

  

 May 7, 2015
 #2
avatar+110154 
+10
Best Answer

Thanks Chris, 

I like this question and your answer.

I do rations in rather weird ways.  For basic quesions my way is REALLY easy.

BUT for harder questions I often get in a mess.

This is how I tacked this one.

Orange orange and wter water lemonade
2*(3/7)   5*(3/7)  
  7*(3/7)   4
  3   4
6/7   15/7 4

 

So the ratio of orange juice to lemonade is    6/7   :   4      = 6:28  =      3:14

Melody May 7, 2015

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