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Let T be the weight of Tarpon
Let A be the weight of amberjack
Let W be the weight of white marlin
Let TU be the weight of Tuna
The crew on a fishing boat caught 4 fish that weighed a total of 1,092 pound.
Total weight = 1092
T + A + W + TU = 1092
The tarpon weighed twice as much as the amberjack
T= 2 A
the white marlin weighed twice as much as the tarpon.
W = 2 T
We know T is 2A so W = 2(2A) = 4 A, W = 4A
The weight of the tuna was 5 times the weight of the Amber jack.
TU = 5A
T = 2A , W = 4A , TU = 5A
Replace it in our equation
T + A + W + TU = 1092
2A + A + 4A + 5A = 1092
12A = 1092
Divide both sides by 12
A = 91
the weight of amberjack = 91 pounds
the weight of white marlin = 4A = 4(91) = 364 pounds
the weight of Tarpon = 2A = 2(91) = 182 pounds
the weight of Tuna= 5A = 5(91)=455 pounds