Problema Solution
Jane went fishing and caught a whopper of a fish! The head of her fish was 10 inches long. The length on the fishes tail was equal to the length of the head plus half the length of the body. The body was as long as the head and tail together. What was the total length of her fish?
Answer provided by our tutors
let
h = 10 in the length of the head of the fish
t = the length of the tail of the fish
b = the length of the body of the fish
the length on the fishes tail was equal to the length of the head plus half the length of the body
t = h + b/2
t = 10 + b/2
the body was as long as the head and tail together
b = h + t
b = 10 + t
b = 10 + 10 + b/2
b = 20 + b/2
b - b/2 = 20
b/2 = 20
b = 40 in
the total length of the fish is h + t + b that is
10 + 10 + b/2 + 10 + 10 + b/2 = 40 + 40 = 80 in
the total length of the fish was 80 inches.