document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85830>Question 85830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please,sir,i request you to solve this question fast and urgently.<BR>\n" );
document.write( "the question is - an employer hired a man for seven weeks on the condition that if he worked for full seven weeks,he could get Rs 300 and a free holiday.but the man worked for 4 weeks and got Rs 30 and a free holiday.can you tell the value of this holiday? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62021 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=62021\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For 7 weeks of work the man would get Rs 300 plus the holiday (call it H). This means that<BR>\n" );
document.write( "each week the man earns one-seventh of Rs 300 + one-seventh of H. In equation form this is:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2F7+%2B+H%2F7 ALIGN=MIDDLE  ALT=\"300%2F7+%2B+H%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "But the man only worked 4 weeks and he got Rs 30 + H. That means that each week he earned<BR>\n" );
document.write( "one-fourth of what he got ... for each week of work he got:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F4+%2B+H%2F4 ALIGN=MIDDLE  ALT=\"30%2F4+%2B+H%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Assuming that the weekly rates remained the same in both cases, you can set them equal and<BR>\n" );
document.write( "the equation is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F4+%2B+H%2F4+=+300%2F7+%2B+H%2F7 ALIGN=MIDDLE  ALT=\"30%2F4+%2B+H%2F4+=+300%2F7+%2B+H%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let's get rid of the denominators by multiplying both sides of this equation by a common<BR>\n" );
document.write( "denominator of 28 (that is multiply all terms by 7 times 4) and the equation becomes:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A4%29%2A30%2F4+%2B+%287%2A4%29%2AH%2F4+=+%287%2A4%29%2A300%2F7+%2B+%287%2A4%29%2AH%2F7 ALIGN=MIDDLE  ALT=\"%287%2A4%29%2A30%2F4+%2B+%287%2A4%29%2AH%2F4+=+%287%2A4%29%2A300%2F7+%2B+%287%2A4%29%2AH%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Next cancel the terms in the denominators with the same terms in the numerators to reduce<BR>\n" );
document.write( "the equation:.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2Across%284%29%29%2A30%2Fcross%284%29+%2B+%287%2Across%284%29%29%2AH%2Fcross%284%29+=+%28cross%287%29%2A4%29%2A300%2Fcross%287%29+%2B+%28cross%287%29%2A4%29%2AH%2Fcross%287%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "and the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A30%29+%2B+7%2AH+=+%284%2A300%29+%2B+4%2AH ALIGN=MIDDLE  ALT=\"%287%2A30%29+%2B+7%2AH+=+%284%2A300%29+%2B+4%2AH\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Multiply out the two \"number\" terms:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=210+%2B+7H+=+1200+%2B+4H ALIGN=MIDDLE  ALT=\"210+%2B+7H+=+1200+%2B+4H\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Next, collect the terms containing H on one side of the equation and the numbers for Rs on the<BR>\n" );
document.write( "other side.  Begin by subtracting 4H from both sides of the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=210+%2B+7H+-+4H+=+1200+%2B+4H+-+4H ALIGN=MIDDLE  ALT=\"210+%2B+7H+-+4H+=+1200+%2B+4H+-+4H\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "After the subtraction the equation is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=210+%2B+3H+=+1200 ALIGN=MIDDLE  ALT=\"210+%2B+3H+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Next subtract Rs 210 from both sides of the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=210+-+210+%2B+3H+=+1200+-+210 ALIGN=MIDDLE  ALT=\"210+-+210+%2B+3H+=+1200+-+210\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "After the subtraction the equation is reduced to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3H+=+990 ALIGN=MIDDLE  ALT=\"+3H+=+990\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Finally, solve for H (the value of the holiday) by dividing both sides of the equation<BR>\n" );
document.write( "by 3 and you find that:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H+=+990%2F3+=+330 ALIGN=MIDDLE  ALT=\"H+=+990%2F3+=+330\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So the answer to the problem is that the Holiday, H, is worth Rs 330.<BR>\n" );
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document.write( "You can check this by calculating that in 4 weeks the man earned Rs 30 + H or Rs 30 + Rs 330<BR>\n" );
document.write( "for a total of Rs 360. If you multiply this amount by the ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F4 ALIGN=MIDDLE  ALT=\"7%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > you find that<BR>\n" );
document.write( "in 7 weeks he should earn:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F4%29%2A360+=+2520%2F4+=+630 ALIGN=MIDDLE  ALT=\"%287%2F4%29%2A360+=+2520%2F4+=+630\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Then you can compare this Rs 630 with the problem statement that says in 7 weeks he earns <BR>\n" );
document.write( "Rs 300 + the holiday ... which is Rs 300 + Rs 330 ... a total of Rs 630. This is the same<BR>\n" );
document.write( "answer we got by multiplying what he earned in 4 weeks by the ratio of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F4 ALIGN=MIDDLE  ALT=\"7%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > so the<BR>\n" );
document.write( "answer of H = Rs 330 looks good.<BR>\n" );
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document.write( "Hope this helps you to understand the problem. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );