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how much pure water must be mixed with 2 pints of 90% developer to produce a mixture that is 32% developer?

 Dec 14, 2016
 #1
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+5

Let's state everything in terms of water content......

 

90% developer  = 10% water

 

32% developer  = 68% water

 

Let x be the amount of pure water added to the 2 pints of 90% developer.......and we have

 

[pure water]* unknown amount of pure water  + 2 pints of 10% water = final amount of 68% water

 

1x  + .10(2)  =  (x + 2).68    multiply through to clear the decimals

 

100x + 10(2)   = (x + 2)68   simplify

 

100x + 20  = 68x  + 136    subtract 20 and 68x from both sides

 

32x  = 116   divide both sides by 32

 

x = 3.625 pints  of pure water

 

 

 

 

 

 

cool cool cool

 Dec 14, 2016

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