document.write( "Question 649263: Mary and Joe are siblings. They inherit paintings. Joe takes three paintings to keep. Mary took one-fourth the remaining paintings. There are six paintings now left. How many paintings did they inherit in total.\r
\n" ); document.write( "\n" ); document.write( "I know how to work backwards where the 6 + 2 + 3 = 11
\n" ); document.write( "6 is the remainder, 2 is a quarter of the remainder which was 8 and 3 is what Joe took. \r
\n" ); document.write( "\n" ); document.write( "I need assistance with creating a formula for this word problem. Thank you!
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Algebra.Com's Answer #406917 by MathTherapy(10555)\"\" \"About 
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\n" ); document.write( "Mary and Joe are siblings. They inherit paintings. Joe takes three paintings to keep. Mary took one-fourth the remaining paintings. There are six paintings now left. How many paintings did they inherit in total.\r
\n" ); document.write( "\n" ); document.write( "I know how to work backwards where the 6 + 2 + 3 = 11
\n" ); document.write( "6 is the remainder, 2 is a quarter of the remainder which was 8 and 3 is what Joe took. \r
\n" ); document.write( "\n" ); document.write( "I need assistance with creating a formula for this word problem. Thank you!\r
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\n" ); document.write( "\n" ); document.write( "Let the amount of paintings they inherited be P\r
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\n" ); document.write( "\n" ); document.write( "After Joe took 3, P - 3 remained\r
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\n" ); document.write( "\n" ); document.write( "Mary then took \"1%2F4\" of remainder, or \"%281%2F4%29+%2A+P+-+3%29\"\r
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\n" ); document.write( "\n" ); document.write( "Therefore, remainder after Joe took his, minus \"1%2F4\" of remainder after Joe took his, equals the final remainder, OR\r
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\n" ); document.write( "\n" ); document.write( "\"%28P+-+3%29+-+%281%2F4%29%28P+-+3%29+=+6\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28P+-+3%29+-+%28%28P+-+3%29%2F4%29+=+6\" \r
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\n" ); document.write( "\n" ); document.write( "\"4%28P+-+3%29+-+P+%2B+3+=+24\" ------ Multiplying by LCD, 4\r
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\n" ); document.write( "\n" ); document.write( "4P - 12 - P + 3 = 24\r
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\n" ); document.write( "\n" ); document.write( "3P - 9 = 24\r
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\n" ); document.write( "\n" ); document.write( "3P = 33\r
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\n" ); document.write( "\n" ); document.write( "P, or amount of paintings they inherited = \"33%2F3\", or \"highlight_green%2811%29\"\r
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\n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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