document.write( "Question 707198: Michael writes down 4 different factors of 60.\r
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Algebra.Com's Answer #435571 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, there--\r\n" );
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document.write( "PROBLEM:\r\n" );
document.write( "Michael writes down 4 different factors of 60. \r\n" );
document.write( "He adds the 4 factors together.\r\n" );
document.write( "He gets a number greater than 20 but less than 35 \r\n" );
document.write( "What 4 factors could Michael have written down?\r\n" );
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document.write( "A SOLUTION:\r\n" );
document.write( "One challenge of this problem is thinking about how to organize your information. You\r\n" );
document.write( "want a list of four factors of 60 that sum to a number between 20 and 35.\r\n" );
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document.write( "First, list all the whole number factors of 60. I like to think of them in pairs. For example, \r\n" );
document.write( "\"1 times 60 is 60, so 1 and 60 are factors.\r\n" );
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document.write( "1, 60\r\n" );
document.write( "2, 30\r\n" );
document.write( "3, 20\r\n" );
document.write( "4, 15\r\n" );
document.write( "5, 12\r\n" );
document.write( "6, 10\r\n" );
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document.write( "List the factors in numerical order:\r\n" );
document.write( "1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60\r\n" );
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document.write( "You are looking among these numbers to find four with a sum between 20 and 35. Are there\r\n" );
document.write( "any numbers that you can cross off the list? For example, can 60 be one of the numbers?\r\n" );
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document.write( "No, because 60 is greater than 35, so you cannot add three other numbers to 60 and get a sum between 20 and 35.\r\n" );
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document.write( "See if there are any other numbers you can cross off.\r\n" );
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document.write( "After that, experiment with other combinations and find four that work. Keep a list of the \r\n" );
document.write( "combinations you tried so you don't miss any. \r\n" );
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document.write( "I'll do one for you here:\r\n" );
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document.write( "30+20+15+12 = 77 too large\r\n" );
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document.write( "How much too large is it? \r\n" );
document.write( "What numbers could you trade to get a smaller sum.\r\n" );
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document.write( "See how this goes? \r\n" );
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document.write( "I'll leave the rest to you. Feel free to email if you get stuck.\r\n" );
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document.write( "Mrs.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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