document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389381>Question 389381</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group of people planned to contribute equally towards a water project which needed Sh 2,000,000 to complete. However, 40 members of the group withdrew from the project. As a result, each of the remaining members were to contribute Sh 2,500 more.<BR>\n" );
document.write( "a. Find the original number of members in the group.<BR>\n" );
document.write( "b. 45% of the value of the project was funded by a benefactor. Calculate the amount of contribution that would be made by each remaining member of the group.<BR>\n" );
document.write( "c. Members' contribution were in terms of labor provided and money contributed. If the ratio of the value of labor to the money contributed was 6:19, calculate the total amount of money contributed by the members.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #275915 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=275915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the original number of members in the group<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000000%2Fx ALIGN=MIDDLE  ALT=\"2000000%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the contribution from each original member<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000000+=+%28x+-+40%29%2A%282000000%2Fx+%2B+2500%29 ALIGN=MIDDLE  ALT=\"2000000+=+%28x+-+40%29%2A%282000000%2Fx+%2B+2500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000000+=+2000000+-+80000000%2Fx+%2B+2500x+-+100000 ALIGN=MIDDLE  ALT=\"2000000+=+2000000+-+80000000%2Fx+%2B+2500x+-+100000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80000000%2Fx+=+2500x+-+100000 ALIGN=MIDDLE  ALT=\"80000000%2Fx+=+2500x+-+100000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80000000+=+2500x%5E2+-+100000x ALIGN=MIDDLE  ALT=\"80000000+=+2500x%5E2+-+100000x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32000+=+x%5E2+-+40x ALIGN=MIDDLE  ALT=\"32000+=+x%5E2+-+40x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+40x+%2B+%2840%2F2%29%5E2+=+32000+%2B+%2840%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+-+40x+%2B+%2840%2F2%29%5E2+=+32000+%2B+%2840%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+40x+%2B+400+=+32400 ALIGN=MIDDLE  ALT=\"x%5E2+-+40x+%2B+400+=+32400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+20%29%5E2+=+180%5E2 ALIGN=MIDDLE  ALT=\"%28x+-+20%29%5E2+=+180%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+20+=+180 ALIGN=MIDDLE  ALT=\"x+-+20+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" > (ignore the negative root)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+200 ALIGN=MIDDLE  ALT=\"x+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "(a) <BR>\n" );
document.write( "There were 200 original members in the group<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.45%2A2000000+=+900000 ALIGN=MIDDLE  ALT=\".45%2A2000000+=+900000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000000+-+900000+=+1100000 ALIGN=MIDDLE  ALT=\"2000000+-+900000+=+1100000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1100000%2F%28200+-+40%29+=+6875 ALIGN=MIDDLE  ALT=\"1100000%2F%28200+-+40%29+=+6875\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "6,875 is needed from each remaining member<BR>\n" );
document.write( "(c)<BR>\n" );
document.write( "labor/money = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F19 ALIGN=MIDDLE  ALT=\"6%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "money/(labor + money) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F%286+%2B+19%29 ALIGN=MIDDLE  ALT=\"19%2F%286+%2B+19%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "money/(labor + money) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F25 ALIGN=MIDDLE  ALT=\"19%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1100000%2A%2819%2F25%29+=+836000 ALIGN=MIDDLE  ALT=\"1100000%2A%2819%2F25%29+=+836000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "836,000 is the total amount of money contributed by the members<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "check part (a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000000+=+%28x+-+40%29%2A%282000000%2Fx+%2B+2500%29 ALIGN=MIDDLE  ALT=\"2000000+=+%28x+-+40%29%2A%282000000%2Fx+%2B+2500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000000+=+%28200+-+40%29%2A%282000000%2F200+%2B+2500%29 ALIGN=MIDDLE  ALT=\"2000000+=+%28200+-+40%29%2A%282000000%2F200+%2B+2500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000000+=+160%2A%2810000+%2B+2500%29 ALIGN=MIDDLE  ALT=\"2000000+=+160%2A%2810000+%2B+2500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000000+=+1600000+%2B+400000 ALIGN=MIDDLE  ALT=\"2000000+=+1600000+%2B+400000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000000+=+2000000 ALIGN=MIDDLE  ALT=\"2000000+=+2000000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );