document.write( "Question 806686: Connie mixed lime juice, lemon juice and water in the ratio 3:6:7 to make 8 liters of drink. How many liters of lime juice did she use? \n" ); document.write( "
Algebra.Com's Answer #485970 by josmiceli(19441)\"\" \"About 
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Let liters of lime juice = \"+a+\"
\n" ); document.write( "Let liters of lemon juice = \"+b+\"
\n" ); document.write( "Let liters of water = \"+c+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) \"+a%2Fb+=+3%2F6+\"
\n" ); document.write( "(2) \"+b%2Fc+=+6%2F7+\"
\n" ); document.write( "(3) \"+a+%2B+b+%2B+c+=+8+\"
\n" ); document.write( "--------------------
\n" ); document.write( "(1) \"+6%2Aa+=+3%2Ab+\"
\n" ); document.write( "(1) \"+a+=+%281%2F2%29%2Ab+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+b%2Fc+=+6%2F7+\"
\n" ); document.write( "(2) \"+7%2Ab+=+6%2Ac+\"
\n" ); document.write( "(2) \"+c+=+%287%2F6%29%2Ab+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) \"+a+%2B+b+%2B+c+=+8+\"
\n" ); document.write( "(3) \"+%281%2F2%29%2Ab+%2B+b+%2B+%287%2F6%29%2Ab+=+8+\"
\n" ); document.write( "Multiply both sides by \"+6+\"
\n" ); document.write( "(3) \"+3b+%2B+6b+%2B+7b+=+48+\"
\n" ); document.write( "(3) \"+16b+=+48+\"
\n" ); document.write( "(3) \"+b+=+3+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+=+%281%2F2%29%2Ab+\"
\n" ); document.write( "(1) \"+a+=+1.5+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+c+=+%287%2F6%29%2Ab+\"
\n" ); document.write( "(2) \"+c+=+%287%2F6%29%2A3+\"
\n" ); document.write( "(2) \"+c+=+3.5+\"
\n" ); document.write( "--------------
\n" ); document.write( "There are 1.5 liters of lime juice
\n" ); document.write( "There are 3 liters of lemon juice
\n" ); document.write( "There are 3.5 liters of water
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( "(3) \"+a+%2B+b+%2B+c+=+8+\"
\n" ); document.write( "(3) \"+1.5+%2B+3+%2B+3.5+=+8+\"
\n" ); document.write( "(3) \"+8+=+8+\"\r
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