document.write( "Question 536470: ali,james and jason share cookies in teh ratio 4:5:1.Ali received 45 cookies more than jason.Find the total number of cookies shared. \n" ); document.write( "
Algebra.Com's Answer #352382 by Edwin McCravy(20056)\"\" \"About 
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document.write( "Let's let N = the total number of cookies shared.\r\n" );
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document.write( "We wish to divide a number N into 3 parts in the ratio of a:b:c, so the\r\n" );
document.write( "parts are given by these formulas:\r\n" );
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document.write( "\"a%2F%28a%2Bb%2Bc%29\"×N, \"b%2F%28a%2Bb%2Bc%29\"×N, and \"c%2F%28a%2Bb%2Bc%29\"×N\r\n" );
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document.write( "We wish to divide N cookies into 3 parts in the ratio of 4:5:1 \r\n" );
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document.write( "\"4%2F%284%2B5%2B1%29\"×N = \"4%2F10\"×N = \"2%2F5\"×N = Ali's share\r\n" );
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document.write( "\"5%2F%284%2B5%2B1%29\"×N = \"5%2F10\"×N = \"1%2F2\"×N = James' share\r\n" );
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document.write( "\"1%2F%284%2B5%2B1%29\"×N = \"1%2F10\"×N = Jason's share\r\n" );
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document.write( "Now we notice the words:\r\n" );
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>>...Ali received 45 cookies more than Jason...<<
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document.write( "To get the equation we use this:\r\n" );
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document.write( "         \"%28matrix%282%2C1%2C++++%22Ali%27s%22%2C+share%29%29\" = \"%28matrix%282%2C1%2C++++%22Jason%27s%22%2C+share%29%29\" + 45\r\n" );
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document.write( "           \"2%2F5\"×N = \"1%2F10\"×N + 45\r\n" );
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document.write( "Clear of fractions by multiplying all three terms by 10\r\n" );
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document.write( "        10×\"2%2F5\"×N = 10×\"1%2F10\"×N + 10×45\r\n" );
document.write( "            4N = N + 450\r\n" );
document.write( "            3N = 450\r\n" );
document.write( "             N = 150 cookies shared\r\n" );
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document.write( "That's the answer.  To check it:\r\n" );
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document.write( "\"4%2F%284%2B5%2B1%29\"×150 = \"4%2F10\"×150 = \"2%2F5\"×150 = 60 = Ali's share\r\n" );
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document.write( "\"5%2F%284%2B5%2B1%29\"×150 = \"5%2F10\"×150 = \"1%2F2\"×150 = 75 = James' share\r\n" );
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document.write( "\"1%2F%284%2B5%2B1%29\"×150 = \"1%2F10\"×150 = 15 = Jason's share\r\n" );
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document.write( "The sum is 60 + 75 + 15 = 150  That part checks.\r\n" );
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document.write( "Ali received 60 cookies and Jason received 15 cookies, and indeed,\r\n" );
document.write( "60 is 45 more than 15.\r\n" );
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document.write( "So the answer 150 is correct.\r\n" );
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document.write( "Edwin
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