document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199770>Question 1199770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% pure fruit juice. The company is attempting to produce a fruit drink that contains 75% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 150 pints of a mixture that is 75% pure fruit juice? </SPAN>\n" );
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document.write( "(1) A typical setup for solving using formal algebra....<br><BR>\n" );
document.write( "let x = number of pints of 60% pure juice<BR>\n" );
document.write( "then 150-x = number of pints of 85% pure juice<br><BR>\n" );
document.write( "x pints of 60%, plus (150-x) pints of 85%, yields 150 pints of 75%:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.60%28x%29%2B.85%28150-x%29=.75%28150%29 ALIGN=MIDDLE  ALT=\".60%28x%29%2B.85%28150-x%29=.75%28150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "I leave it to you to solve that equation to find the answer to the problem.<br><BR>\n" );
document.write( "(2) A quick and easy informal method, if formal algebra is not required....<br><BR>\n" );
document.write( "Observe/calculate (using a number line, if it helps) that 75% is 15/25 = 3/5 of the way from 60% to 85%.  That means 3/5 of the mixture is the 85% pure juice.<br><BR>\n" );
document.write( "ANSWER: 3/5 of 150 pints, or 90 pints, is the 85% pure juice; the other 60 pints are the 60% pure juice<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( ".85(90)+.60(60) = 76.5+36=112.5<BR>\n" );
document.write( ".75(150) = 112.5<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );