SOLUTION: If Alan had three more goats, then he'd have one less goat than Brian. Whereas Dave has the same number as the other three shepherds put together. If Charlie had three less g

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

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

Check 3 + 7 + 12 + 22 = 44/4 = 11
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