document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104152>Question 1104152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is <BR>\n" );
document.write( "70%<BR>\n" );
document.write( " salt and Solution B is <BR>\n" );
document.write( "95%<BR>\n" );
document.write( " salt. She wants to obtain <BR>\n" );
document.write( "60<BR>\n" );
document.write( " ounces of a mixture that is <BR>\n" );
document.write( "80%<BR>\n" );
document.write( " salt. How many ounces of each solution should she use? </SPAN>\n" );
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document.write( "(1) The traditional algebraic solution....<br><BR>\n" );
document.write( "Use x ounces of A and (60-x) ounces of B.<BR>\n" );
document.write( "The amount of salt in x ounces of A is .70(x); the amount in (60-x) ounces of B is .95(60-x); the amount of salt in the mixture is .80(60).<br><BR>\n" );
document.write( "Write and solve the equation that says the amount of salt in the two ingredients is equal to the amount in the mixture:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.70%28x%29%2B.95%2860-x%29+=+.80%2860%29 ALIGN=MIDDLE  ALT=\".70%28x%29%2B.95%2860-x%29+=+.80%2860%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "I'll let you finish from there....<br><BR>\n" );
document.write( "(2) But here is an easier way to answer this kind of \"mixture\" problem:<br><BR>\n" );
document.write( "Look at the percentages of the two ingredients and of the mixture, as if on a number line.<BR>\n" );
document.write( "80 is 2/5 of the way from 70 to 95.  (80-70=10; 95-70=25; 10/25 = 2/5).<BR>\n" );
document.write( "That 2/5 means 2/5 of the mixture must be the 95% ingredient, B.<br><BR>\n" );
document.write( "2/5 of 60 is 24; so use 24 ounces of B and 36 ounces of A.<br><BR>\n" );
document.write( "If you finished the solution above using the standard algebraic method, that is the answer you should have gotten. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );