document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165977>Question 1165977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How much pure water must be mixed with 4 pints of 50% developer to produce a mixture that is 32% developer? <BR>\n" );
document.write( "Thank you!  </SPAN>\n" );
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document.write( "A non-algebraic approach....<br><BR>\n" );
document.write( "You are starting with 50% developer and adding 0% developer (pure water), stopping when you get to 32%.<br><BR>\n" );
document.write( "From 50 to 32 is a difference of 18; from 50 to 0 is a difference of 50.<br><BR>\n" );
document.write( "So you are stopping adding water 18/50 = 9/25 of the way from 50% to 0%.<br><BR>\n" );
document.write( "That means 9/25 of the final mixture is the water you are adding; that means 16/25 of the mixture is the 50% developer you started with.<br><BR>\n" );
document.write( "So 16/25 of the mixture was 4 pints; that means the 9/25 of the mixture that is water is 9/16 of 4 pints, or 9/4 = 2.25 pints.<br><BR>\n" );
document.write( "ANSWER: Add 2.25 pints of pure water.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( ".50(4)+0(2.25) = 2+0 = 2<BR>\n" );
document.write( ".32(4+2.25) = .32(6.25) = 2<br><BR>\n" );
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