document.write( "Question 626285: if Lucy earns $300 for her first 40 hours of work in a week and then is paid one-and-one-half times her regular rate for any additional hours, how many hours must she work to make $345 in a week? \n" ); document.write( "

Algebra.Com's Answer #394102 by checkley79(3341) $\"\"$ $\"About$

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300/40=7.50 is the hourly rate.
\n" ); document.write( "300+(1.5*7.50)x=345
\n" ); document.write( "300+(11.25)x=345
\n" ); document.write( "11.25x=345-300
\n" ); document.write( "11.25x=45
\n" ); document.write( "x=45/11.25
\n" ); document.write( "x=4 hours of overtime is needed to get the $345.
\n" ); document.write( "Proof:
\n" ); document.write( "300+11.25*4=345
\n" ); document.write( "300+45=345
\n" ); document.write( "345=345 \n" ); document.write( "

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