SOLUTION: The head of a tropical fish is 1/3 as long as its midsection. Its tail is as long as its head and midsection combined. The total length of the fish is 48cm. How long is the tail of

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Question 106218: The head of a tropical fish is 1/3 as long as its midsection. Its tail is as long as its head and midsection combined. The total length of the fish is 48cm. How long is the tail of the fish?
Answer by jermz69(5)   (Show Source): You can put this solution on YOUR website!
The head of a tropical fish is 1/3 as long as its midsection. Its tail is as long as its head and midsection combined. The total length of the fish is 48cm. How long is the tail of the fish?

Let x: midsection
1/3x: head
x + 1/3x: tail

Equation:
x + 1/3x + x + 1/3x = 48
8/3x = 48
3(8/3x) = 3(48)
8x = 144
x = 24

tail = x + 1/3x
24 + 1/3(24)
24 + 8
32
tail = 32

I'm jermz69. Hope I helped!

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