A fish has a head 9 units long. the tail is equal to the size of the head plus one half the size of the body. the body is the size of the head plus the tail. how long is the fish?
Answers
Given:
Length of Head = 9 units.
To Find :
Total Length of fish.
Explanation:
Head = 9 units
Tail = 0.5 x Length of the body + Length of the head
Body = Length of head + tail
Tail = 0.5 x Length of the body + 9 units
Body = 9 units + 0.5 x Length of the body + 9 units
Body = 18 units + 0.5 x Length of the body
Body - 0.5 x Length of the body = 18 units
0.5 x Length of body = 18 units
Length of body = 18 x 2 units
Length of body = 36 units
Therefore the fish is 36 units long.
Given,
Length of the head of a fish = 9 units
To find,
The total length of the fish.
Solution,
We can simply solve this mathematical problem using the following process:
Let us assume that the length of the body of the fish is x units.
Now, as per the question,
Length of the fish's tail
= length of the head + one half the size of the body
= 9 units + (1/2)x (Equation 1)
Also,
The length of the body of the fish = Length of the head + length of the tail
=> x = 9 + 9 + x/2
( Since the length of the body of the fish is assumed to be x units )
=> x/2 = 18 units
=> x = 36 units
Now,
substituting the value of x in equation 1, we get:
Length of the fish's tail
= 9 + (1/2)x
= 9 + (36/2) = 27 units
So, the complete length of the fish
= length of head + length of body + length of the tail
= 9 units + 36 units + 27 units
= 72 units
Hence, the total length of the fish is 72 units.