document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=939053>Question 939053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An 112 ounce mixture is created by combining two ethylene solutions. One solution is10% ethylene and the other is 2% ethylene. If the finale mixture is comprised of 7.9% ethylene solution, then how much of the 10% solution was used? <BR>\n" );
document.write( "How do I do this? Thank you and please </SPAN>\n" );
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document.write( "Method 1:  Using unknown x<BR>\n" );
document.write( "step 1.<BR>\n" );
document.write( "using unknown x=volume of 10% (=0.1) solution in ounces<BR>\n" );
document.write( "then volume of 2% (=0.02) solution is 112-x ounces to make 112 ounces of 7.9% (0.079) solution.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "step 2.<BR>\n" );
document.write( "form the equation that mixes the two ingredients to make a 7.9% solution<BR>\n" );
document.write( "0.1x+0.02(112-x) = 0.079(112)<BR>\n" );
document.write( "  <BR>\n" );
document.write( "step 3.<BR>\n" );
document.write( "Solve for x<BR>\n" );
document.write( "0.1x+2.24-0.02x = 8.848<BR>\n" );
document.write( "0.08x=6.608<BR>\n" );
document.write( "x=82.6<BR>\n" );
document.write( "Volume of 2% solution = 112-82.6=29.4 ounces<BR>\n" );
document.write( "Answer: 82.6 ounces of 10% solution, and 29.4 ounces of 2% solution.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "method 2: using proportions<BR>\n" );
document.write( "V(10%):V(2%)=(7.9-2) : (10-7.9)<BR>\n" );
document.write( "=5.9 : 2.1<BR>\n" );
document.write( "Volume of 10% solution = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=112%285.9%2F%285.9%2B2.1%29%29=82.6 ALIGN=MIDDLE  ALT=\"112%285.9%2F%285.9%2B2.1%29%29=82.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > ounces<BR>\n" );
document.write( "Volume of 2% solution = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=112%282.1%2F%285.9%2B2.1%29%29=29.4 ALIGN=MIDDLE  ALT=\"112%282.1%2F%285.9%2B2.1%29%29=29.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ounces<BR>\n" );
document.write( "Answer: 82.6 ounces of 10% solution, and 29.4 ounces of 2% solution. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );