document.write( "Question 141657:  If Alan had three more goats, then he'd have one less goat than Brian.\r
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document.write( "Whereas Dave has the same number as the other three shepherds put together.\r
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document.write( "If Charlie had three less goats, he'd have exactly treple the number of Alan.\r
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document.write( "If they were evenly distributed they'd each have eleven goats. How man goats does Alan have?\r
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document.write( "Alan has________________goats\r
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document.write( "Brian has________________goats\r
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document.write( "Charlie has______________goats\r
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document.write( "Dave has_______________goats
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| Algebra.Com's Answer #103236 by ankor@dixie-net.com(22740)     You can put this solution on YOUR website! f Alan had three more goats, then he'd have one less goat than Brian. \n" ); document.write( "Whereas Dave has the same number as the other three shepherds put together. \n" ); document.write( "If Charlie had three less goats, he'd have exactly treple the number of Alan. \n" ); document.write( "If they were evenly distributed they'd each have eleven goats. How man goats does Alan have? \n" ); document.write( ": \n" ); document.write( "Let A = no. of goats that Alan has \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement,(Arrange in terms of A if possible. \n" ); document.write( "\"If Alan had three more goats, then he'd have one less goat than Brian.\" \n" ); document.write( "A + 3 = B - 1 \n" ); document.write( "A + 3 + 1 = B \n" ); document.write( "B = (A+4)\r \n" ); document.write( "\n" ); document.write( "; \n" ); document.write( "\"Whereas Dave has the same number as the other three shepherds put together.\" \n" ); document.write( "D = (A + B + C) \n" ); document.write( "; \n" ); document.write( "\"If Charlie had three less goats, he'd have exactly triple the number of Alan. \n" ); document.write( "C - 3 = 3A \n" ); document.write( "C = (3A+3) \n" ); document.write( ": \n" ); document.write( "If they were evenly distributed they'd each have eleven goats. \n" ); document.write( "A + B + C + D = 44 \n" ); document.write( "A + B + C + (A+B+C)= 44: From the \"D=\" equation \n" ); document.write( "2A + 2B + 2C = 44 \n" ); document.write( "A + B + C = 22; divided equation by 2 \n" ); document.write( ": \n" ); document.write( " How man goats does Alan have? \n" ); document.write( "Substitute for B and C in the above equation: \n" ); document.write( "A + (A+4) + (3A+3) = 22 \n" ); document.write( "5A + 7 = 22 \n" ); document.write( "5A = 22 - 7 \n" ); document.write( "5A = 15 \n" ); document.write( "A = 3 goat belong to Alan \n" ); document.write( ": \n" ); document.write( "Alan has_______3_________goats \n" ); document.write( ": \n" ); document.write( "B = (A+4) \n" ); document.write( "B = 3 + 4 \n" ); document.write( "Brian has_______7_________goats \n" ); document.write( ": \n" ); document.write( "C = (3A+3) \n" ); document.write( "C =3(3) + 3 \n" ); document.write( "Charlie has_____12_________goats \n" ); document.write( ": \n" ); document.write( "D = A + b + C \n" ); document.write( "D = 3 + 7 + 12 \n" ); document.write( "Dave has_______22________goats\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check 3 + 7 + 12 + 22 = 44/4 = 11 \n" ); document.write( " |