document.write( "Question 552783: On Saturday, Kim worked three hours more than Ann did. Together they worked one hour less than three times the hours than Ann worked. How many hours did Kim work? \n" ); document.write( "

Algebra.Com's Answer #360508 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+k+\"$ = hours that Kim worked
\n" ); document.write( "Let $\"+a+\"$ = hours that Ann worked
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+k+=+a+%2B+3+\"$
\n" ); document.write( "(2) $\"+k+%2B+a+=+3a+-+1+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+a+%2B+3+%2B+a+=+3a+-+1+\"$
\n" ); document.write( "(2) $\"+3a+-+2a+=+3+%2B+1+\"$
\n" ); document.write( "(2) $\"+a+=+4+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+k+=+a+%2B+3+\"$
\n" ); document.write( "(1) $\"+k+=+4+%2B+3+\"$
\n" ); document.write( "(1) $\"+k+=+7+\"$
\n" ); document.write( "Kim worked 7 hrs
\n" ); document.write( "Ann worked 4 hours
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+k+%2B+a+=+3a+-+1+\"$
\n" ); document.write( "(2) $\"+7+%2B+4+=+3%2A4+-+1+\"$
\n" ); document.write( "(2) $\"+11+=+12+-+1+\"$
\n" ); document.write( "(2) $\"+11+=+11+\"$
\n" ); document.write( "OK \n" ); document.write( "

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