document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187488>Question 1187488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone help please? It would be kindly appreciated, thanks!<BR>\n" );
document.write( "      Bobby, Edward and kelvin made a bottle of paper stars.<BR>\n" );
document.write( "    The number of paper stars Bobby made was 21 more than 1/4 the total number of paper stars<BR>\n" );
document.write( "in the bottle.<BR>\n" );
document.write( "    The number of paper stars Edward made was 30 more than 1/4 of the remaining number of<BR>\n" );
document.write( "paper stars in the bottle.<BR>\n" );
document.write( "      Kelvin made the remaining 114 paper stars.<BR>\n" );
document.write( "      How many paper stars did they make in all? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #818464 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=818464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let T = the total number of stars in the bottle.<BR>\n" );
document.write( "let B = the number of stars that bobby made.<BR>\n" );
document.write( "let E = the number of stars that edward made.<BR>\n" );
document.write( "let K = the number of stars that kelvin made.\r<BR>\n" );
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document.write( "The number of paper stars Bobby made was 21 more than 1/4 the total number of paper stars in the bottle.<BR>\n" );
document.write( "the equation for that is B = 1/4 * T + 21.\r<BR>\n" );
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document.write( "let R1 equal the remaining stars in the bottle after subtracting what bobby made.<BR>\n" );
document.write( "the equation for that is R1 = T - B.<BR>\n" );
document.write( "since B = 1/4 * T + 21 then the equation becomes:<BR>\n" );
document.write( "R1 = T - (1/4 * T + 21) which becomes:<BR>\n" );
document.write( "R1 = 3/4 * T - 21.\r<BR>\n" );
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document.write( "The number of paper stars Edward made was 30 more than 1/4 of the remaining number of paper stars in the bottle.<BR>\n" );
document.write( "the equation for that is E = 1/4 * R1 + 30.<BR>\n" );
document.write( "since R1 = 3/4 * T - 21), the equation becomes:<BR>\n" );
document.write( "E = 1/4 * (3/4 * T - 21) + 30 which becomes:<BR>\n" );
document.write( "E = 3/16 * T - 21/4 + 30<BR>\n" );
document.write( "since 30 = 120/4, the equation becomes:<BR>\n" );
document.write( "E = 3/16 * T - 21/4 + 120/4<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "E = 3/16 * T + 99/4.\r<BR>\n" );
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document.write( "let R2 = the the remainder of stars in the bottle after what edward made.<BR>\n" );
document.write( "the equation for that is R2 = R1 - E.<BR>\n" );
document.write( "since R1 = 3/4 * T - 21, that equation becomes:<BR>\n" );
document.write( "R2 = 3/4 * T - 21 - E<BR>\n" );
document.write( "since E = 3/16 * T + 99/4, that equation becomes:<BR>\n" );
document.write( "R2 = 3/4 * T - 21 - (3/16 * T + 99/4)<BR>\n" );
document.write( "simplify that to get:<BR>\n" );
document.write( "R2 = 3/4 * T - 21 - 3/16 * T - 99/4<BR>\n" );
document.write( "3/4 * T is the same as 12/16 * T<BR>\n" );
document.write( "21 is the same as 84/4<BR>\n" );
document.write( "R2 = 3/4 * T - 21 - 3/16 * T - 99/4 becomes:<BR>\n" );
document.write( "R2 = 12/16 * T - 84/4 - 3/16 * T - 99/4<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "R2 = 9/16 * T - 183/4.\r<BR>\n" );
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document.write( "since R2 was given as being 114, you get:<BR>\n" );
document.write( "114 = 9/16 * T - 183/4<BR>\n" );
document.write( "add 183/4 to both sides of the equation to get:<BR>\n" );
document.write( "114 + 183/4 = 9/16 * T<BR>\n" );
document.write( "multiply both sides of the equation by 16 to get:<BR>\n" );
document.write( "16 * (114 + 183/4) = 9 * T<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "2556 = 9 * T<BR>\n" );
document.write( "solve for T to get:<BR>\n" );
document.write( "T = 2446 / 9 = 284.\r<BR>\n" );
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document.write( "that should be the total number of stars in the bottle.\r<BR>\n" );
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document.write( "confirm by repeating the problem with 284 stars in the bottle to see if that solution is good.\r<BR>\n" );
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document.write( "the problem statement was:\r<BR>\n" );
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document.write( "The number of paper stars Bobby made was 21 more than 1/4 the total number of paper stars in the bottle.<BR>\n" );
document.write( "bobby made 1/4 * 284 + 21 = 92<BR>\n" );
document.write( "the remaining number of stars was 284 - 92 = 192.\r<BR>\n" );
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document.write( "The number of paper stars Edward made was 30 more than 1/4 of the remaining number of paper stars in the bottle.<BR>\n" );
document.write( "edward made 1/4 * 192 + 30 = 78<BR>\n" );
document.write( "the remaining number of stars was 192 - 78 = 114.\r<BR>\n" );
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document.write( "Kelvin made the remaining 114 paper stars.\r<BR>\n" );
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document.write( "solution looks good.<BR>\n" );
document.write( "bobby made 92<BR>\n" );
document.write( "edward made 78<BR>\n" );
document.write( "kelvin made 114\r<BR>\n" );
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document.write( "total number of stars in the bottle was 92 + 78 + 114 = 284.\r<BR>\n" );
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document.write( "it appears that the solution is that they made a total of 284 stars.\r<BR>\n" );
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document.write( "i would go with that.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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