document.write( "Question 452445: One canned juice drink is 25% orange juice;another is 10% orange juice. How many liters of each should be mixed together in order to get 15 liters that is 13% orange juice? \n" ); document.write( "
Algebra.Com's Answer #311006 by josmiceli(19441)\"\" \"About 
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Let \"a\" = liters of 25% juice needed
\n" ); document.write( "Let \"b\" = liters of 10% juice needed
\n" ); document.write( "given:
\n" ); document.write( "OJ in 25% juice: \"+.25a+\"
\n" ); document.write( "OJ in 10% juice: \"+.1b+\"
\n" ); document.write( "----------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+15+\"
\n" ); document.write( "(2) \"+%28+.25a+%2B+.1b+%29+%2F+15+=+.13+\"
\n" ); document.write( "----------------------
\n" ); document.write( "(2) \"+.25a+%2B+.1b+=+1.95+\"
\n" ); document.write( "(2) \"+25a+%2B+10b+=+195+\"
\n" ); document.write( "Multiply both sides of (1) by \"+10+\" and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) \"+25a+%2B+10b+=+195+\"
\n" ); document.write( "(1) \"+-10a+-+10b+=+-150+\"
\n" ); document.write( "\"+15a+=+45+\"
\n" ); document.write( "\"+a+=+3+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+3+%2B+b+=+15+\"
\n" ); document.write( "\"+b+=+12+\"
\n" ); document.write( "3 liters of 25% juice are needed
\n" ); document.write( "12 liters of 10% juice are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.25a+%2B+.1b+%29+%2F+15+=+.13+\"
\n" ); document.write( "(2) \"+%28+.25%2A3+%2B+.1%2A12+%29+%2F+15+=+.13+\"
\n" ); document.write( "(2) \"+%28+.75+%2B+1.2+%29+%2F+15+=+.13+\"
\n" ); document.write( "(2) \"+1.95+%2F+15+=+.13+\"
\n" ); document.write( "(2) \"+1.95+=+1.95+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );