wolfbrother22222 wolfbrother22222
  • 19-11-2019
  • Computers and Technology
contestada

TEEL
4. A fish was caught. Its tail weighed 9 lbs. Its head weighed as much as its tail plus half its
body. Its body weighed as much as its head and tail. What did the fish weigh?​

Respuesta :

usamasama
usamasama usamasama
  • 21-11-2019

Answer:

72 lbs

Explanation:

Tail weight is TW.

Head weight is HW.

Body weight is BW

TW=9 lbs.

HW=TW+(BW/2)

BW=TW+HW

[tex]TW=9\\HW=TW+(BW/2)\\BW=TW+HW\\BW=HW+9[/tex]

Since HW=BW/2+9 inserting it in BW=HW+9

[tex]BW=9+(BW/2)+9\\BW=18+(BW/2)\\BW-BW/2=18\\\\BW/2=18\\BW=36\\Total weight=BW+HW+TW[/tex]

Inserting BW value in HW=9+BW/2

[tex]HW=9+(36/2)\\HW=27\\TW=9\\Total Weight=36+27+9\\Total Weight=72 lbs[/tex]

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