A rare whale fossil was uncovered under layers of sediment. When the excavator took measurements, she found the tail to be as long

Question

A rare whale fossil was uncovered under layers of sediment. When the excavator took measurements, she found the tail to be as long as its head plus a quarter of the length of the body. When the archaeologist came in, he measured the length of the body. He found it to be ¾ of the total length. They made arguments about how such a fish would swim in the water. To make proper predictions they measured the head size, and found it to be 4 inches long. What is the total length of this whale?

Gianna · Answer

Large tt fbox{✯Answer✯}     sf{Let :the :total :size :of :the :whale :be :x}     sf{Then, :the :size :of :the :whale's :body :is   :  frac{3}{4}x}      sf{And, :the :size :of :the :whale's :tail :is :4+(  frac{1}{4}   times   frac{3}{4})x}     = 4 +   frac{3}{16} x     bf green{According :to :the :question:}     sf{ x  - (  frac{3}{4} + (4 +   frac{3}{16}x)) = 4}     sf{⇒x - (  frac{3}{4} x + 4 +   frac{3}{16}x) = 4}     sf{⇒x -   frac{3}{4} x - 4 -   frac{3}{16}x = 4}      sf{⇒x -   frac{3}{4} x -   frac{3}{16} x = 4 + 4}     sf{⇒  frac{16x - 12x - 3x}{16}  = 8}     sf{⇒  frac{ x}{16}  = 8}     sf{⇒x = 8  times 16}      sf{⇒x = 128}         small tt pink{Answer:  }    T  h  e     t  o  t  a  l     s  i  z  e     o  f     t  h  e     w  h  a  l  e     i  s     1  2  8     i  n  c  h  e  s  .

Ariana · Answer

Answer:     huge fcolorbox{blue}{purple}{128}    Step-by-step explanation:       mathbb pink{Mark  : as  : branliest  : plz}

Clara