document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203315>Question 1203315</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Royal Fruit Company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 35% pure fruit juice? </SPAN>\n" );
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document.write( "Answers:  <BR>\n" );
document.write( "<font color=red size=4>35 pints</font> of the 20% drink<BR>\n" );
document.write( "<font color=red size=4>15 pints</font> of the 70% drink\r<BR>\n" );
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document.write( "Work Shown\r<BR>\n" );
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document.write( "x = amount of the 20% juice (1st batch)<BR>\n" );
document.write( "50-x = amount of the 70% juice (2nd batch)<BR>\n" );
document.write( "Each amount is in pints.<BR>\n" );
document.write( "These two expressions add to 50 pints total.\r<BR>\n" );
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document.write( "0.2x = amount of pure fruit from the 1st batch<BR>\n" );
document.write( "0.7(50-x) = 35-0.7x = amount of pure fruit from the 2nd batch\r<BR>\n" );
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document.write( "batch1+batch2 = (0.2x) + (35-0.7x) = 35-0.5x = total amount of pure fruit\r<BR>\n" );
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document.write( "The goal is to make a 35% fruit drink, and the company wants 50 pints.<BR>\n" );
document.write( "Therefore, the company requires 0.35*50 = 17.5 pints of pure fruit.<BR>\n" );
document.write( "This leads us to the equation<BR>\n" );
document.write( "35-0.5x = 17.5\r<BR>\n" );
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document.write( "Let's solve for x<BR>\n" );
document.write( "35-0.5x = 17.5<BR>\n" );
document.write( "-0.5x = 17.5-35<BR>\n" );
document.write( "-0.5x = -17.5<BR>\n" );
document.write( "x = -17.5/(-0.5)<BR>\n" );
document.write( "x = 35<BR>\n" );
document.write( "We'll need <font color=red>35 pints</font> of the 20% batch.\r<BR>\n" );
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document.write( "Also we'll need <font color=red>15 pints</font> of the 70% batch because 50-x = 50-35 = 15.<BR>\n" );
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