document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57516>Question 57516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Chuck gets paid $15/hour and lays brick at the rate of 120/hour.  Chet earns $10/hour and lays brick at the rate of 50/hour.  He works 2 hours less than Chuck. At the end of the day their manager figures they laid approximately 7 bricks/dollar in total.  How many hours did Chuck work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39311 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=39311\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Chuck gets paid $15/hour and lays brick at the rate of 120/hour. Chet earns $10/hour and lays brick at the rate of 50/hour. He works 2 hours less than Chuck. At the end of the day their manager figures they laid approximately 7 bricks/dollar in total. How many hours did Chuck work?<BR>\n" );
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document.write( "Let t = number of hrs Chuck worked<BR>\n" );
document.write( "Then (t-2) = number of hrs Chet worked<BR>\n" );
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document.write( "$ paid to Chuck = 15t<BR>\n" );
document.write( "$ paid to Chet = 10(t-2)<BR>\n" );
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document.write( "Find out the total $ paid to to both: <BR>\n" );
document.write( "15t + 10(t-2)<BR>\n" );
document.write( "15t + 10t - 20<BR>\n" );
document.write( "(25t - 20) paid to both<BR>\n" );
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document.write( "Find out how many bricks are laid per dollar for each worker<BR>\n" );
document.write( "Chuck: 120/15 = 8 bricks/$<BR>\n" );
document.write( "Chet: 50/10 = 5 bricks/$<BR>\n" );
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document.write( "Given that the average for the day was 7 bricks/$<BR>\n" );
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document.write( "Find the total bricks: mult total amt paid * brick/$<BR>\n" );
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document.write( "Chucks bricks + Chet's bricks = Total bricks<BR>\n" );
document.write( "8(15t) + 5(10(t-2) = 7(25t - 20)<BR>\n" );
document.write( "120t + 50t - 100 = 175t - 140<BR>\n" );
document.write( "170t - 100 = 175t - 140<BR>\n" );
document.write( "170t - 175t = -140 + 100<BR>\n" );
document.write( "        -5t = -40<BR>\n" );
document.write( "          t = -40/-5<BR>\n" );
document.write( "          t = +8 hrs worked by Chuck<BR>\n" );
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document.write( "Check using total bricks:<BR>\n" );
document.write( "Total paid to both men: 8*15 + 6*10 = 120 + 60 = $180<BR>\n" );
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document.write( "[8*15*8] + [5*10*6] = 7(180)<BR>\n" );
document.write( " 960 + 300 = 1260<BR>\n" );
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