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# ratio of parts

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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

#2
+110154
+10

Thanks Chris,

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
+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

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

May 7, 2015
#2
+110154
+10

Thanks Chris,

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