document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1098476>Question 1098476</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if 1/5 of a certain number is added to 51/5 the sum is the  same  as when  1/6 of  the number is subtracted from 30 2/5 .find  the  number that is  added </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #712880 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=712880\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if 1/5 of a certain number is added to 51/5 the sum is the same as when 1/6 of the number is subtracted from 30 2/5 .<BR>\n" );
document.write( "find the number that is added<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >n + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=51%2F5 ALIGN=MIDDLE  ALT=\"51%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 30<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >n <BR>\n" );
document.write( "make the 3rd term an improper fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >n + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=51%2F5 ALIGN=MIDDLE  ALT=\"51%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=152%2F5 ALIGN=MIDDLE  ALT=\"152%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >n <BR>\n" );
document.write( "multiply equation by 30, cancel the denominators, resulting in:<BR>\n" );
document.write( "6n + 6(51) = 6(152) - 5n<BR>\n" );
document.write( "6n + 306 = 912 - 5n<BR>\n" );
document.write( "6n + 5n = 912 - 306<BR>\n" );
document.write( "11n = 606 is the number<BR>\n" );
document.write( "n = 606/11<BR>\n" );
document.write( "n = 55<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F11 ALIGN=MIDDLE  ALT=\"1%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, an annoying number for sure.<BR>\n" );
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document.write( "See if that checks out using decimals, 55<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F11%7D+=+55.091%0D%0A%3A%0D%0A%7B%7B%7B1%2F5 ALIGN=MIDDLE  ALT=\"1%2F11%7D+=+55.091%0D%0A%3A%0D%0A%7B%7B%7B1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >(55.091) + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=51%2F5 ALIGN=MIDDLE  ALT=\"51%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=152%2F5 ALIGN=MIDDLE  ALT=\"152%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >(55.091)<BR>\n" );
document.write( "use decimals here<BR>\n" );
document.write( "11.018 + 10.2 = 30.4 - 9.18<BR>\n" );
document.write( "21.218 ~ 21.22, close enough to check our solution<BR>\n" );
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