document.write( "Question 63409: Derwitt Duddly had an assignment to draw a picture of his family. “They won't all fit on this piece of paper,” he wailed loudly in class.
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document.write( "“What exactly is your problem, young man?” enquired his teacher, Ms. Im. Patient.
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document.write( "My family has 1 brother, 2 sisters, 2 sons, 2 daughters, 1 grandmother, 1 grandfather, 2 fathers, 2 mothers, 4 children, 3 grandchildren , 1 father-in-law, 1 mother-in-law, and 1 daughter-in-law, and they won't all fit on the paper.
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document.write( "“I'm sure you can manage.” stated his teacher, emphatically.
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document.write( "Can you help Derwitt out? What is the smallest possible number of people in his family?
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Algebra.Com's Answer #44131 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Derwitt Duddly had an assignment to draw a picture of his family.\r\n" ); document.write( "“They won't all fit on this piece of paper,” he wailed loudly in class.\r\n" ); document.write( "“What exactly is your problem, young man?” inquired his teacher,\r\n" ); document.write( "Ms. Im. Patient. \r\n" ); document.write( "\r\n" ); document.write( "My family has 1 brother, 2 sisters, 2 sons, 2 daughters, 1 grandmother,\r\n" ); document.write( "1 grandfather, 2 fathers, 2 mothers, 4 children, 3 grandchildren , \r\n" ); document.write( "1 father-in-law, 1 mother-in-law, and 1 daughter-in-law, and they won't \r\n" ); document.write( "all fit on the paper.\r\n" ); document.write( "\r\n" ); document.write( "“I'm sure you can manage.” stated his teacher, emphatically. \r\n" ); document.write( "\r\n" ); document.write( "Can you help Derwitt out? What is the smallest possible number of \r\n" ); document.write( "people in his family?\r\n" ); document.write( "\r\n" ); document.write( "The smallest possible number of people is 7. Tom and Maggie are married \r\n" ); document.write( "and John is their son. John is married to Mary and they have two girls \r\n" ); document.write( "Sue and Joy, and a boy Bob. Here is the family tree:\r\n" ); document.write( "\r\n" ); document.write( " Tom-----Maggie\r\n" ); document.write( " |\r\n" ); document.write( " John------Mary\r\n" ); document.write( " /|\ \r\n" ); document.write( " / | \\r\n" ); document.write( " / | \\r\n" ); document.write( " Sue Joy Bob\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Let's check that out:\r\n" ); document.write( "\r\n" ); document.write( "1 brother? Yes, Bob is the brother of Sue and Joy. There are no\r\n" ); document.write( " other brothers.\r\n" ); document.write( "\r\n" ); document.write( "2 sisters? Yes, Sue and Joy are sisters to each other and to Bob.\r\n" ); document.write( " There are no other sisters.\r\n" ); document.write( "\r\n" ); document.write( "2 sons? Yes, John is Tom and Maggie's son, and Bob is John and \r\n" ); document.write( " Mary's son. There are no other sons.\r\n" ); document.write( "\r\n" ); document.write( "2 daughters? Yes, Sue and Joy are the two daughters of John and Mary.\r\n" ); document.write( " There are no other daughters. \r\n" ); document.write( "\r\n" ); document.write( "1 grandmother? Yes, Maggie is the grandmother of Sue, Joy and Bob.\r\n" ); document.write( " There are no other grandmothers.\r\n" ); document.write( "\r\n" ); document.write( "1 grandfather? Yes, Tom is the grandfather of Sue, Joy and Bob.\r\n" ); document.write( " There are no other grandfathers.\r\n" ); document.write( "\r\n" ); document.write( "2 fathers? Yes, Tom is John's father and John is Sue's, Joy's and\r\n" ); document.write( " Bob's father. There are no other fathers.\r\n" ); document.write( " \r\n" ); document.write( "2 mothers? Yes, Mary is Sue's, Joy's and Bob's mother and Maggie\r\n" ); document.write( " is John's mother. There are no other mothers.\r\n" ); document.write( " \r\n" ); document.write( "4 children? Yes, if you count a grown married man, John, as a \r\n" ); document.write( " \"child\". John is the \"child\" of Tom and Mary. And Sue, \r\n" ); document.write( " Joy and Bob are John and Mary's children. That's 4 \r\n" ); document.write( " children. There are no other children.\r\n" ); document.write( " \r\n" ); document.write( "3 grandchildren? Yes, Sue, Joy, and Bob are the three grandchildren \r\n" ); document.write( " of Tom and Maggie. There are no other grandchildren.\r\n" ); document.write( " \r\n" ); document.write( "1 father-in-law? Yes, Tom is Mary's father-in-law. There is no\r\n" ); document.write( " other father-in-law.\r\n" ); document.write( "\r\n" ); document.write( "1 mother-in-law? Yes, Maggie is Mary's mother-in-law. There is no\r\n" ); document.write( " other mother-in-law.\r\n" ); document.write( "\r\n" ); document.write( "1 daughter-in-law? Yes, Mary is Tom and Maggie's daughter-in-law.\r\n" ); document.write( " There os no other daughter-in-law. \r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |