document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105738>Question 1105738</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Mandy and jack had some sweets in the ratio of 5:7.after mandy gave jack some sweets the ratio that mandy had to jack was 3:21. If jack had 168 sweets at first how many sweets should he returne to mandy so that both have an equal number of sweets.\r<BR>\n" );
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document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720641 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=720641\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mandy and jack had some sweets in the ratio of 5:7.<BR>\n" );
document.write( "after mandy gave jack some sweets the ratio that mandy had to jack was 3:21.<BR>\n" );
document.write( " If jack had 168 sweets at first how many sweets should he returne to mandy so that both have an equal number of sweets.<BR>\n" );
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document.write( "let x = the 1st multiplier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "5x = original number of sweets that M had<BR>\n" );
document.write( "and<BR>\n" );
document.write( "7x = original number that J had<BR>\n" );
document.write( "Given that J' number is 168, we can find the multiplier<BR>\n" );
document.write( "7x = 168<BR>\n" );
document.write( "x = 168/7<BR>\n" );
document.write( "x = 24<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "5 * 24 = 120 sweets is the original number M had<BR>\n" );
document.write( "and we know that 168 + 120 = 288 sweets altogether<BR>\n" );
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document.write( "let y = the 2nd multiplier<BR>\n" );
document.write( "3y + 21y = 288<BR>\n" );
document.write( "24y = 288<BR>\n" );
document.write( "y = 288/24<BR>\n" );
document.write( "y = 12<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "3*12 = 36 sweets M had after giving some to J<BR>\n" );
document.write( "and<BR>\n" );
document.write( "21*12 = 252 sweets J had after receiving some from M<BR>\n" );
document.write( "\"how many sweets should he returned to mandy so that both have an equal number of sweets.<BR>\n" );
document.write( "let s = number to be transferred to accomplish this<BR>\n" );
document.write( "36 + s = 252 - s<BR>\n" );
document.write( "s + s = 252 - 36<BR>\n" );
document.write( "2s = 216<BR>\n" );
document.write( "s = 216/2<BR>\n" );
document.write( "s = 108 sweets<BR>\n" );
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