document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086296>Question 1086296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The monthly pocket money of Ravi and Sanjiv are in the ratio 5 to 7 their expenditures are in the ratio 3 to 5 if each saves rupees 80 every month. Find their monthly pocket money.<BR>\n" );
document.write( "My solution<BR>\n" );
document.write( "Let the monthly pocket money of Ravi 5X and Sanjiv be 7y<BR>\n" );
document.write( "Their expenditures be 3x and 5y<BR>\n" );
document.write( "According to question<BR>\n" );
document.write( "5x-3x=80<BR>\n" );
document.write( "7y-5y=80<BR>\n" );
document.write( "I don't know whether it is correct or wrong please tell me the correct answer<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700480 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=700480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> their pocket money is in the ratio of 5 to 7.<BR>\n" );
document.write( "their expenses are in the ratio of 3 to 5.<BR>\n" );
document.write( "they each save 80 rupees each month.\r<BR>\n" );
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document.write( "your formula would get:\r<BR>\n" );
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document.write( "you would get 2x = 80 which results in x = 40.<BR>\n" );
document.write( "you would get 2y = 80 which results in y = 40.\r<BR>\n" );
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document.write( "i'm not sure what x or y would represent.\r<BR>\n" );
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document.write( "you actually have 4 variables that need to be solved for.\r<BR>\n" );
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document.write( "they are ravi monthly pocket money and sanjiv pocket money and ravi expenditures and sanjiv expenditures.\r<BR>\n" );
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document.write( "bottom line is it doesn't look right.\r<BR>\n" );
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document.write( "i tried an alternate approach and i got an answer that makes sense.\r<BR>\n" );
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document.write( "this is what i did.\r<BR>\n" );
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document.write( "your problem is:\r<BR>\n" );
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document.write( "The monthly pocket money of Ravi and Sanjiv are in the ratio of 5 to 7 and their expenditures are in the ratio of 3 to 5.<BR>\n" );
document.write( "if each saves rupees 80 every month. Find their monthly pocket money.\r<BR>\n" );
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document.write( "let a equal the pocket money that ravi gets and let b equal the pocket money that sanjiv gets.\r<BR>\n" );
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document.write( "the ratio becomes a/b = 5/7\r<BR>\n" );
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document.write( "let c equal the expenditures of ravi and let d equal the expenditures of sanjiv.\r<BR>\n" );
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document.write( "the ratio becomes c/d = 3/5\r<BR>\n" );
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document.write( "from a/b = 5/7, you can solve for a to get a = 5b/7\r<BR>\n" );
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document.write( "from c/d = 3/5, you can solve for c to get c = 3d/5\r<BR>\n" );
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document.write( "the formula for savings is savings = pocket money minus expenditures.\r<BR>\n" );
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document.write( "you know that both ravi and sanjim save 80 rupees per month.\r<BR>\n" );
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document.write( "you get a - c = 80 and you get b - d = 80\r<BR>\n" );
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document.write( "since they are both equal to 80, then you get a - c = b - d\r<BR>\n" );
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document.write( "since a = 5b/7 and c = 3d/5, then you get:\r<BR>\n" );
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document.write( "5b/7 - 3d/5 = b - d\r<BR>\n" );
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document.write( "multiply both sides of this equation by 35 and you get:\r<BR>\n" );
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document.write( "25b - 21d = 35b - 35d\r<BR>\n" );
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document.write( "subtract 25b from both sides of this equation and add 35d to both sides of this equation and you get:\r<BR>\n" );
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document.write( "35d - 21d = 35b - 25b\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "14d = 10b\r<BR>\n" );
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document.write( "solve for b to get:\r<BR>\n" );
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document.write( "b = 1.4d\r<BR>\n" );
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document.write( "from b - d = 80, replace b with 1.4d and you get:\r<BR>\n" );
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document.write( "1.4d - d = 80\r<BR>\n" );
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document.write( "simplify to get .4d = 80\r<BR>\n" );
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document.write( "solve for d to get d = 200\r<BR>\n" );
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document.write( "when d = 200, then b - d = 80 becomes b - 200 = 80.\r<BR>\n" );
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document.write( "this results in b = 280.\r<BR>\n" );
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document.write( "you now have b = 280 and d = 200\r<BR>\n" );
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document.write( "you know that a = 5b/7 and c = 3d/5, so you get:\r<BR>\n" );
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document.write( "a = (5 * 280) / 7 = 200\r<BR>\n" );
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document.write( "c = (3 * 200) / 5 = 120\r<BR>\n" );
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document.write( "you now have:\r<BR>\n" );
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document.write( "a = 200 = ravi monthly pocket money<BR>\n" );
document.write( "b = 280 = sanjiv monthly pocket money<BR>\n" );
document.write( "c = 120 = ravi monthly expenditures<BR>\n" );
document.write( "d = 200 = sanjiv monthly expenditures\r<BR>\n" );
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document.write( "you know that ravi and sanjiv both save 80 rupees per month.\r<BR>\n" );
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document.write( "for ravi, this becomes 200 - 120 = 80\r<BR>\n" );
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document.write( "for sanjiv, this becomes 280 - 200 = 80\r<BR>\n" );
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document.write( "solution looks good.\r<BR>\n" );
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document.write( "rajiv monthly pocket money is equal to 200 rupees.<BR>\n" );
document.write( "sanjiv monthly pocket money is equal to 280 rupees.\r<BR>\n" );
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document.write( "the pocket money ratio is a / b = 200 / 280 = 5 / 7.\r<BR>\n" );
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document.write( "the expenditure ratio is c / d = 120 / 200 = 3 / 5.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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