document.write( "Question 141657: If Alan had three more goats, then he'd have one less goat than Brian.\r
\n" ); document.write( "\n" ); document.write( "Whereas Dave has the same number as the other three shepherds put together.\r
\n" ); document.write( "\n" ); document.write( "If Charlie had three less goats, he'd have exactly treple the number of Alan.\r
\n" ); document.write( "\n" ); document.write( "If they were evenly distributed they'd each have eleven goats. How man goats does Alan have?\r
\n" ); document.write( "\n" ); document.write( "Alan has________________goats\r
\n" ); document.write( "\n" ); document.write( "Brian has________________goats\r
\n" ); document.write( "\n" ); document.write( "Charlie has______________goats\r
\n" ); document.write( "\n" ); document.write( "Dave has_______________goats
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #103236 by ankor@dixie-net.com(22740)\"\" \"About 
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( "
\n" );