Jason, Murray, and Dana. Dana caught a red snapper. Jason caught a tuna with a weight 3 times as great as the weight of the red snapper. Murray caught a sailfish with a weight 12 times as great as the weight of the red snapper. If the combined weight of the three fish was 208 pounds, how much did the tuna weigh?

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16-11-2015
Mathematics

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Jason, Murray, and Dana. Dana caught a red snapper. Jason caught a tuna with a weight 3 times as great as the weight of the red snapper. Murray caught a sailfish with a weight 12 times as great as the weight of the red snapper. If the combined weight of the three fish was 208 pounds, how much did the tuna weigh?

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taskmasters taskmasters · Answer 1 · 2015-11-16T04:03:25+01:00

Let us assume the weight of the red snapper caught by Dana = X
The weight of the tuna caught by Jason was 3 times the weight of the snapper caught by Dana. Then,
Weight of the tuna caught by Jason = 3X
Weight of the sailfish caught by Murray is 12 times the weight of the red snapper caught by Dana. Then,
Weight of the sailfish caught by Murray = 12X
The combined weight of the 3 fishes caught = 208 pounds.
Then,
X + 3X + 12X = 208
16X = 208
X = 208/16
   = 13
So the red snapper weighed 13 pounds
The weight of the tuna caught by Jason = 3X
      = 3 * 13
      = 39
So the tuna weighed 39 pounds.