Answer :
The weight of the Amber jack is 25.2 pounds, the weight of the king fish is 50.4 pounds, the weight of the Marlin is 50.4 pounds and the weight of the tarpon is 126 pounds
Step-by-step explanation:
Jon caught four fish that weighed a total of 252 pounds
The king fish weighed twice as much as the Amber jack
The white Marlin weighed as much as the king fish
The weight of the tarpon was 5 times the weight of the Amber jack
We need to find the weight of each fish
Assume that the weight of the Amber jack is x
∵ The weight of the Amber jack is x
∵ The king fish weighed twice as much as the Amber jack
- Multiply x by 2 to find the weight of the king jack fish
∴ The weight of the King fish = 2 x
∵ The white Marlin weighed as much as the king fish
∴ The weight of the Marlin = 2 x
∵ The weight of the tarpon was 5 times the weight of the Amber jack
- multiply x by 5 to find the weight of tarpon
∴ The weight of tarpon = 5 x
∵ The four fish weighed a total of 252 pounds
- Add the weight of the 4 fish and equate the sum by 252
∵ x + 2 x + 2 x + 5 x = 252
- Add like terms
∴ 10 x = 252
- Divide both sides by 10
∴ x = 25.2
∵ The weight of the Amber jack is x
∴ The weight of the Amber jack = 25.2 pounds
∵ The weight of the King fish is 2 x
∴ The weight of the King fish = 2(25.2) = 50.4 pounds
∵ The weight of the Marlin is 2 x
∴ The weight of the Marlin weighed = 2(25.2) = 50.4 pounds
∵ The weight of tarpon is 5 x
∴ The weight of tarpon = 5(25.2) = 126 pounds
The weight of the Amber jack is 25.2 pounds, the weight of the king fish is 50.4 pounds, the weight of the Marlin is 50.4 pounds and the weight of the tarpon is 126 pounds
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