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Dexter was asked to mix the punch for his sister’s birthday party. He has to figure out how much water and pure concentrate to add. How many liters of pure concentrate should be added to 10 liters of 20% concentrate to make a 50% concentrate punch?

 Feb 19, 2020
 #1
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(0.2*10+x)/(10+x) = 0.5; Subsituting x=6 would make (0.2*10+6)/10+6) = 8/16 = 0.5

 

You have to add 6 liters of pure concentrate

 Feb 19, 2020
 #2
avatar+109740 
+1

Pure  concentrate =  100%  = 1

20% concentrate  =.20

 

Let x  be the amount of pure concentrate

 

So

 

1x  + .20 (10) =  .50 (10 + x)    simplify

 

x  + 2  =  5  + .5x      rearrange as

 

x - .5x  =  5 -2

 

.5x = 3    divide both sides by .5

 

x =  6 L  of pure concentrate

 

 

cool cool cool

 Feb 19, 2020

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