document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208696>Question 1208696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rita grossed $435 one week working 52 hours. Rita's employer pays time-and-a-half for all hours over 40 hours. With this information, can you determine Rita's regular salary wage?\r<BR>\n" );
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document.write( "Textbook Solution \r<BR>\n" );
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document.write( "1. We are looking for hourly wage.\r<BR>\n" );
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document.write( "2. Let x = regular hourly wage for Rita's\r<BR>\n" );
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document.write( "3. Set up a table \r<BR>\n" );
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document.write( "Table\r<BR>\n" );
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document.write( "Regular Hours = 40<BR>\n" );
document.write( "Hourly wage = x<BR>\n" );
document.write( "Salary = 40x\r<BR>\n" );
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document.write( "Overtime hours = 12<BR>\n" );
document.write( "Hourly wage = 1.5x<BR>\n" );
document.write( "Salary = 12(1.5x) = 18x\r<BR>\n" );
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document.write( "The correct equation is 40x + 12(1.5)x = 435\r<BR>\n" );
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document.write( "My equation is 40x + 12(1.5) = 435\r<BR>\n" );
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document.write( "Question \r<BR>\n" );
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document.write( "Why must 12 hours be multiplied by 1.5x instead of simply 1.5? Understand? You say? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #847101 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=847101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "In any equation where terms are being combined using addition or subtraction, the terms must represent the same kinds of things.  Your equation is<br><BR>\n" );
document.write( "40x + 12(1.5) = 435<br><BR>\n" );
document.write( "In that equation, \"40x\" is her pay for 40 hours at rate x, and 435 is her total pay.  So those two terms both represent amounts of pay.<br><BR>\n" );
document.write( "But the term 12(1.5) does not represent an amount of pay.  \"12 hours\" times \"1.5\" simply gives 18 hours.<br><BR>\n" );
document.write( "As you show earlier in your post, \"12(1.5x)\" is her pay for the overtime hours.  So the correct equation, showing \"pay for normal hours, plus pay for overtime, equals total pay\" is<br><BR>\n" );
document.write( "40(x) + 12(1.5x) = 435<br><BR>\n" );
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