document.write( "Question 991103: The Royal Fruit Company produces two types of fruit drinks. The first type is
\n" ); document.write( "35%
\n" ); document.write( " pure fruit juice, and the second type is
\n" ); document.write( "75%
\n" ); document.write( " pure fruit juice. The company is attempting to produce a fruit drink that contains
\n" ); document.write( "60%
\n" ); document.write( " pure fruit juice. How many pints of each of the two existing types of drink must be used to make
\n" ); document.write( "40
\n" ); document.write( " pints of a mixture that is
\n" ); document.write( "60%
\n" ); document.write( " pure fruit juice?
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Algebra.Com's Answer #611046 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a\" = pints of the 35% mixture needed
\n" ); document.write( "Let \"+b+\" = pints of the 75% mixture needed
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\n" ); document.write( "(1) \"+a+%2B+b+=+40+\"
\n" ); document.write( "(2) \"+%28+.35a+%2B+.75b+%29+%2F+40+=+.6+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) \"+.35a+%2B+.75b+=+.6%2A40+\"
\n" ); document.write( "(2) \"+35a+%2B+75b+=+2400+\"
\n" ); document.write( "Multiply both sides of (1) by \"+35+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+35a+%2B+75b+=+2400+\"
\n" ); document.write( "(1) \"+-35a+-+35b+=+-1400+\"
\n" ); document.write( "------------------------
\n" ); document.write( "\"+40b+=+1000+\"
\n" ); document.write( "\"+b+=+25+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+40+\"
\n" ); document.write( "(1) \"+a+=+15+\"
\n" ); document.write( "-----------------
\n" ); document.write( "15 pints of the 35% mixture are needed
\n" ); document.write( "25 pints of the 75% mixture are needed
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.35a+%2B+.75b+%29+%2F+40+=+.6+\"
\n" ); document.write( "(2) \"+%28+.35%2A15+%2B+.75%2A25+%29+%2F+40+=+.6+\"
\n" ); document.write( "You can finish this check
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