document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=873199>Question 873199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One alloy contains 80% gold and another alloy contains 55% gold. The two alloys are combined to make 40 grams of an alloy that is 70% gold. How many grams of the 80% alloy are used? </SPAN>\n" );
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document.write( "Answer <BR>\n" );
document.write( "let x grams alloys contain 80% gold  and y gram alloys  contain 55% gold <BR>\n" );
document.write( "as per conditions given X + Y =40 (1)<BR>\n" );
document.write( "80%X +55%Y =70% of 40<BR>\n" );
document.write( ".8x +.55 y = 28 <BR>\n" );
document.write( "80x +55y =2800 (2) by multiplying (1) by  80 and subtracting  from (2)<BR>\n" );
document.write( "80x +80Y =3200<BR>\n" );
document.write( "-25y =-400<BR>\n" );
document.write( "Y= 16 grams <BR>\n" );
document.write( "X + Y =40<BR>\n" );
document.write( "X + 16 =40<BR>\n" );
document.write( "X= 24 grams <BR>\n" );
document.write( "Answer  <BR>\n" );
document.write( "80%  alloy  contain gold =24 grams <BR>\n" );
document.write( "55% alloy contain  gold =16 grams  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );