document.write( "Question 1051628: I'm am really not sure where to begin to solve this problem. I know that I should set one side of the equation to 6 1/2. The question is:\r
\n" ); document.write( "\n" ); document.write( "In her Job at the post office, Janie works a 6 1/2 hour day. She sorts mail, sells stamps, and does supervisory work. On one day, she sold stamps twice as long as she sorted mail, and sold stamps 1 hour longer that the time she spent doing supervisory work. How many hours did she spend at each task? \n" ); document.write( "

Algebra.Com's Answer #667093 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
There are 3 unknowns:
\n" ); document.write( "(1) Number of hrs spent sorting mail = $\"+a+\"$
\n" ); document.write( "(2) Number of hrs spent selling stamps = $\"+b+\"$
\n" ); document.write( "(3) Number of hrs spent doing supervisory work = $\"+c+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "You need 3 equation in order to find 3 unknowns
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+%2B+c+=+6.5+\"$
\n" ); document.write( "(2) $\"+b+=+2a+\"$
\n" ); document.write( "(3) $\"+b+=+c+%2B+1+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "(2) $\"+a+=+b%2F2+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+c+=+b+-+1+\"$
\n" ); document.write( "Substitute 92) and (3) into (1)
\n" ); document.write( "(1) $\"+b%2F2+%2B+b+%2B+b+-+1+=+6.5+\"$
\n" ); document.write( "(1) $\"+b%2F2+%2B+2b+=+7.5+\"$
\n" ); document.write( "Multiply both sides by $\"+2+\"$
\n" ); document.write( "(1) $\"+b+%2B+4b+=+15+\"$
\n" ); document.write( "(1) $\"+5b+=+15+\"$
\n" ); document.write( "(1) $\"+b+=+3+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+=+b%2F2+\"$
\n" ); document.write( "(2) $\"+a+=+1.5+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+c+=+b+-+1+\"$
\n" ); document.write( "(3) $\"+c+=+3+-+1+\"$
\n" ); document.write( "(3) $\"+c+=+2+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "She spent 1.5 hrs sorting mail,
\n" ); document.write( "3 hrs selling stamps, and 2 hrs
\n" ); document.write( "doing supervisory work
\n" ); document.write( "------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+a+%2B+b+%2B+c+=+6.5+\"$
\n" ); document.write( "(1) $\"+1.5+%2B+3+%2B+2+=+6.5+\"$
\n" ); document.write( "(1) $\"+6.5+=+6.5+\"$
\n" ); document.write( "You can check (2) and (3)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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