document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252791>Question 252791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide 105 peaches into three bags such that bag B shall have four times the<BR>\n" );
document.write( "peaches in bag A, and bag C will be twice the sum of bag A and bag B. How many peaches in bag C?\r<BR>\n" );
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document.write( "A) 7 B) 28  C) 60  D) 70  E) 80 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184856 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=184856\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a + b + c = 105\r<BR>\n" );
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document.write( "a,b,c represent the amount of peaches in bags A, B, and C.\r<BR>\n" );
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document.write( "b = 4*a; (bag B has 4 times the peaches in bag A).\r<BR>\n" );
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document.write( "c = 2 * (a + b); (bag C contains 2 times the amount in bags A and B).\r<BR>\n" );
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document.write( "since b = 4*a, then:\r<BR>\n" );
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document.write( "c = 2 * (a + b) becomes:\r<BR>\n" );
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document.write( "c = 2 * (a + 4*a).\r<BR>\n" );
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document.write( "remove parentheses to get:\r<BR>\n" );
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document.write( "c = 2*a + 8*a = 10*a\r<BR>\n" );
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document.write( "we have:\r<BR>\n" );
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document.write( "b = 4*a<BR>\n" );
document.write( "c = 10*a\r<BR>\n" );
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document.write( "a + b + c = 105 becomes:\r<BR>\n" );
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document.write( "a + 4*a + 10*a = 105 which becomes:\r<BR>\n" );
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document.write( "15*a = 105\r<BR>\n" );
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document.write( "solve for a to get:\r<BR>\n" );
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document.write( "a = 105/15 = 7\r<BR>\n" );
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document.write( "b = 4*a = 4 * 7 = 28\r<BR>\n" );
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document.write( "c = 10*a = 10*7 = 70\r<BR>\n" );
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document.write( "70 + 28 + 7 = 105 (this is good).\r<BR>\n" );
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document.write( "b = 2 * (a + b) = 2 * (7 + 28) = 2 * 35 = 70 (this is also good).\r<BR>\n" );
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document.write( "You have confirmed that:\r<BR>\n" );
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document.write( "bag A contains 7 peaches<BR>\n" );
document.write( "bag B contains 28 peaches<BR>\n" );
document.write( "bag C contains 70 peaches\r<BR>\n" );
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document.write( "Your answer is bag C contains 70 peaches which is selection D.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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