document.write( "Question 1095027: Fred has $120 more than Bob. After Fred spends $20 on groceries, Fred has 6 times as much money as Bob. How much money does Bob have? \n" ); document.write( "

Algebra.Com's Answer #709569 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+b+\"$ = Bob's amount
\n" ); document.write( "Let $\"+f+\"$ = Fred's amount
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) $\"+f+=+b+%2B+120+\"$
\n" ); document.write( "(2) $\"+f+-+20+=+6b+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "(2) $\"+f+=+6b+%2B+20+\"$
\n" ); document.write( "Plug (2) into (1)
\n" ); document.write( "(1) $\"+6b+%2B+20+=+b+%2B+120+\"$
\n" ); document.write( "(1) $\"+5b+=+100+\"$
\n" ); document.write( "(1) $\"+b+=+20+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+f+=+b+%2B+120+\"$
\n" ); document.write( "(1) $\"+f+=+20+%2B+120+\"$
\n" ); document.write( "(1) $\"+f+=+140+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Bob has $20
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+f+-+20+=+6b+\"$
\n" ); document.write( "(2) $\"+140+-+20+=+6%2A20+\"$
\n" ); document.write( "(2) $\"+120+=+120+\"$
\n" ); document.write( "OK \n" ); document.write( "

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