document.write( "Question 1033494: Hi
\n" ); document.write( "Charlotte and Lydia shared cashew nuts in the ratio of 6:7.when Charlotte gave 36 nuts to Lydia the ratio of nuts Charlotte has to lydia is 9:17.how many nuts did Lydia have at first.
\n" ); document.write( "thank you
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Algebra.Com's Answer #648115 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = number of nuts Charlotte has initially
\n" ); document.write( "Let \"+b+\" = number of nuts Lydia has initially
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\n" ); document.write( "(1) \"+a%2Fb+=+6%2F7+\"
\n" ); document.write( "(2) \"+%28+a+-+36+%29+%2F+%28+b+%2B+36+%29+=+9%2F17+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) \"+a+=+%286%2F7%29%2Ab+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+a+-+36+=+%289%2F17%29%2A%28+b+%2B+36+%29+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+%286%2F7%29%2Ab+-+36+=+%289%2F17%29%2A%28+b+%2B+36+%29+\"
\n" ); document.write( "Multiply both sides by \"+17%2F9+\"
\n" ); document.write( "(2) \"+%28+34%2F21+%29%2Ab+-+68+=+b+%2B+36+\"
\n" ); document.write( "(2) \"+%28+34%2F21+%29%2Ab+-+b+=+104+\"
\n" ); document.write( "(2) \"+%28+13%2F21+%29%2Ab+=+104+\"
\n" ); document.write( "(2) \"+b+=+%28+21%2F13+%29%2A104+\"
\n" ); document.write( "(2) \"+b+=+168+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+=+%286%2F7%29%2Ab+\"
\n" ); document.write( "(1) \"+a+=+%286%2F7%29%2A168+\"
\n" ); document.write( "(1) \"+a+=+144+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Lydia has 168 nuts at first
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\n" ); document.write( "check:
\n" ); document.write( "(1) \"+a%2Fb+=+6%2F7+\"
\n" ); document.write( "(1) \"+144%2F168+=+6%2F7+\"
\n" ); document.write( "(1) \"+.8571429+=+.8571429+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+%28+a+-+36+%29+%2F+%28+b+%2B+36+%29+=+9%2F17+\"
\n" ); document.write( "(2) \"+%28+144+-+36+%29+%2F+%28+168+%2B+36+%29+=+9%2F17+\"
\n" ); document.write( "(2) \"+108+%2F+204+=+9%2F17+\"
\n" ); document.write( "(2) \"+5294118+=+.5294118+\"
\n" ); document.write( "OK
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