document.write( "Question 1077203: Melinda is a single mom, working two jobs just to make ends meet. She makes $11.00 an hour as a receptionist in dental office and on weekends she works at a shoe store making $8.00 an hour. One week she worked 49 hours and made $506. How many hours did she work at each job? \n" ); document.write( "
Algebra.Com's Answer #691735 by josmiceli(19441)\"\" \"About 
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Let \"+t+\" = time in hrs she worked at dentsl office
\n" ); document.write( "\"+49+-+t+\" = time in hrs she worked at shoe store
\n" ); document.write( "Let \"+p+\" = her pay for working that week at dental office
\n" ); document.write( "\"+506+-+p+\" = her pay for working that week at shoe store
\n" ); document.write( "--------------------------------------------------------
\n" ); document.write( "Equation for the dental office:
\n" ); document.write( "(1) \"+p+=+11t+\"
\n" ); document.write( "Equation for the shoe store:
\n" ); document.write( "(2) \"+506+-+p+=+8%2A%28+49+-+t+%29+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+506+-+11t+=+8%2A%28+49+-+t+%29+\"
\n" ); document.write( "(2) \"+506+-+11t+=+392+-+8t+\"
\n" ); document.write( "(2) \"+3t+=+114+\"
\n" ); document.write( "(2) \"+t+=+38+\"
\n" ); document.write( "and
\n" ); document.write( "\"+49+-+t+=+49+-+38+\"
\n" ); document.write( "\"+49+-+t+=+11+\"
\n" ); document.write( "She worked 38 hrs at the dental office
\n" ); document.write( "and 11 hrs at the shoe store
\n" ); document.write( "----------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+p+=+11t+\"
\n" ); document.write( "(1) \"+p+=+11%2A38+\"
\n" ); document.write( "(1) \"+p+=+418+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+506+-+p+=+8%2A%28+49+-+t+%29+\"
\n" ); document.write( "(2) \"+506+-+p+=+8%2A11+\"
\n" ); document.write( "(2) \"+p+=+506+-+88+\"
\n" ); document.write( "(2) \"+p+=+418+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
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