document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191306>Question 1191306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. A chemist mixed a solution that was 34% acid with another solution that was 18% acid to produce a 30 ounce solution that was 28% acid. How much of the 34% acid solution did he use?\r<BR>\n" );
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document.write( "x = amount of the 34% solution used<BR>\n" );
document.write( "y = amount of the 18% solution used<BR>\n" );
document.write( "Amounts are in ounces\r<BR>\n" );
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document.write( "x+y = 30 ounces total<BR>\n" );
document.write( "y = 30-x\r<BR>\n" );
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document.write( "34% of x = 0.34x = amount of pure acid from the first solution<BR>\n" );
document.write( "18% of y = 0.18y = amount of pure acid from the second solution<BR>\n" );
document.write( "0.34x+0.18y = total amount of pure acid\r<BR>\n" );
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document.write( "The chemist desires 28% acid solution of the 30 ounce batch, so they want 0.28*30 = 8.4 ounces of pure acid.\r<BR>\n" );
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document.write( "0.34x+0.18y = 8.4<BR>\n" );
document.write( "0.34x+0.18(30-x) = 8.4 ... replace y with 30-x<BR>\n" );
document.write( "0.34x+0.18(30)+0.18(-x) = 8.4<BR>\n" );
document.write( "0.34x+5.4-0.18 = 8.4<BR>\n" );
document.write( "0.16x+5.4 = 8.4<BR>\n" );
document.write( "0.16x = 8.4-5.4<BR>\n" );
document.write( "0.16x = 3<BR>\n" );
document.write( "x = 3/(0.16)<BR>\n" );
document.write( "x = <font color=red>18.75</font>\r<BR>\n" );
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document.write( "Also,<BR>\n" );
document.write( "y = 30-x<BR>\n" );
document.write( "y = 30-18.75<BR>\n" );
document.write( "y = 11.25\r<BR>\n" );
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document.write( "The chemist used <font color=red>18.75 ounces</font> of the 34% solution and 11.25 ounces of the 18% acid solution.<BR>\n" );
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