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Jon caught four fish that weighed a total of 252 pounds. The kingfish weighed twice as much as the amberjack and the white marlin wrighed twice as much as the kingfish. The weight of the tarpon was 5 times the weight of the amberjack.how much did each fish weigh?

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sqdancefan

Answer:

  • amberjack, 21 lbs
  • kingfish, 42 lbs
  • white marlin, 84 lbs
  • tarpon, 105 lbs

Step-by-step explanation:

Let k, a, m, t represent the weights of the kingfish, amberjack, marlin, and tarpon, respectively. The problem statement tells us ...

  • k = 2a
  • m = 2k
  • t = 5a
  • k + a + m + t = 252

Using substitution, we can rewrite the last equation as ...

... (2a) + (a) + 2(2a) + (5a) = 252

... 12a = 252 . . . . . collect terms

... a = 21 . . . . . . . . .divide by 12

Then k = 2a = 42; m = 2k = 84; t = 5a = 105.

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