SOLUTION: How much does a fish weigh if its tail weighs 5kg, its head weighs half as much as the tail and body together, and the body weighs as much as the head and tail altogether?

Question 1007980: How much does a fish weigh if its tail weighs 5kg, its head weighs half as much as the tail and body together, and the body weighs as much as the head and tail altogether?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How much does a fish weigh if its tail weighs 5kg, its head weighs half as much as the tail and body together, and the body weighs as much as the head and tail altogether?
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Equations:
t = 5
h = (1/2)(t+b)
b = h + t
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Substitute to simplify::
t = 5
2h = 5 + b
b = h + 5
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Sustitute for "b" and solve for "h"::
2h = 5 + h+5
h = 10 (wt. of head)
t = 5 (wt. of tail
b = h+5 = 15 (wt of body)
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Ans:: fish weighs 5 + 10 + 15 = 30 kg
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Cheers,
Stan H.
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