Answer:1600
Step-by-step explanation:To solve this problem, we’ll have 3 variables
T for weight of tail
H for weight of head
B for weight of body
We know that T = 200 pounds
The head of the shark is the weight of the tail + half the body. Therefore, we can use the formula:
H = T + 0.5B
The body weighs as much as the head and tail. That will be
B = H + T
We can substitute H + T in the place of B in the H equation, so we get
H = T + 0.5H + 0.5T
Combining like terms, we get: 0.5H = 1.5T
Because T = 200 pounds, we can say 0.5H = 1.5 * 200, which simplifies to 0.5H = 300
Divide both sides by 0.5 and get H = 600 pounds
We can then find the weight of the body to be H + T, which is 200 + 600, and that adds up to 800 pounds
The total weight of the body is B + H + T, which equals 200 + 600 + 800, which is 1600 pounds.
Answer: Lets denote:
Tail by T
Head by H
and Body by B
Given info:
Statement 1: Head weighs as much as the tail plus half of it’s body
H =T + 1/2B
Thus,
H = 200 + 1/2 B …. Equation 1
Statement 2: Body weighs as much as head and tail.
B = H + T
B = H + 200 …. Equation 2
substituting value of B from equation 2 into 1.
H = 200 + 1/2H + 100
1/2H = 300
H = 600
B = 800
Shark’s weight = (H+T+ B) = 1600 pounds
