document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140649>Question 1140649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi can someone help with the below mentioned problem. <BR>\n" );
document.write( "Ahmad had 46 more $5 notes than $10 notes in his piggy bank. he took out some $ 5 notes. the total amount of $5 notes he took out was $545. in the end, he had 8 times as many $10 notes as $5 notes.\r<BR>\n" );
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document.write( "a) How many $5 notes did ahmad have at first?<BR>\n" );
document.write( "b) How much money did Ahmad have left in his piggy bank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761165 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=761165\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of 5 dollar notes.<BR>\n" );
document.write( "y = number of 10 dollar notes.\r<BR>\n" );
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document.write( "ahmad has 46 more five dollar notes than ten dollar notes.\r<BR>\n" );
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document.write( "equation for that is x = y + 46\r<BR>\n" );
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document.write( "he takes out 545 dollars in five dollar notes.\r<BR>\n" );
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document.write( "545 / 5 = 109 five dollar notes that he took out.\r<BR>\n" );
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document.write( "in the end he had 8 times as many ten dollar notes as five dollar notes.\r<BR>\n" );
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document.write( "the equation for that is y = 8 * (x - 109)\r<BR>\n" );
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document.write( "you have two equations that need to be solved simultaneously.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "x = y + 46<BR>\n" );
document.write( "y = 8 * (x - 109)\r<BR>\n" );
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document.write( "in the first equation, solve for y to get y = x - 46\r<BR>\n" );
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document.write( "your two equations are now:\r<BR>\n" );
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document.write( "y = x - 46<BR>\n" );
document.write( "y = 8 * (x - 109)\r<BR>\n" );
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document.write( "replace y with x - 46 in the second equation to get:\r<BR>\n" );
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document.write( "x - 46 = 8 * (x - 109)\r<BR>\n" );
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document.write( "simplify to get x - 46 = 8 * x - 872\r<BR>\n" );
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document.write( "subtract x from both sides of the equation and add 872 to both sides of the equation to get:\r<BR>\n" );
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document.write( "872 - 46 = 8 * x - 1\r<BR>\n" );
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document.write( "simplify to get 826 = 7 * x\r<BR>\n" );
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document.write( "solve for x to get x = 118\r<BR>\n" );
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document.write( "since y = x - 46, then y = 118 - 46 = 72\r<BR>\n" );
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document.write( "you have x = 118 and y = 72\r<BR>\n" );
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document.write( "x is the number of five dollar notes.<BR>\n" );
document.write( "y s the number of ten dollar notes.\r<BR>\n" );
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document.write( "to begin with, he had 118 five dollar notes and 72 ten dollar notes.\r<BR>\n" );
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document.write( "that would make a total of 118 * 5 + 72 * 10 = 1310 dollars.\r<BR>\n" );
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document.write( "he took out 545 dollars, so he was left with 1310 - 545 = 765 dollars.\r<BR>\n" );
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document.write( "he started with 118 five dollars notess and 72 10 dollar notes.\r<BR>\n" );
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document.write( "he took out 109 five dollar notes, so he was left with 9 five dollar notes and 72 ten dollar notes.\r<BR>\n" );
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document.write( "the total money he was left with was 9 * 5 + 72 * 10 = 765 dollars.\r<BR>\n" );
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document.write( "numbers check out so the solution looks good.\r<BR>\n" );
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document.write( "the solution is:\r<BR>\n" );
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document.write( "ahmad has 118 five dollar notess to start with.\r<BR>\n" );
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document.write( "ahmad has 765 dollars left in his piggy bank.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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