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?​

Answer 1

Answer:

128

it is just a guess.

don't know properly

Answer 2

$\huge\bf{❥Answer: }$

$\sf{Let\:the\:total\:size\:of\:the\:whale\:be\:x}$

$\sf{Then,\:the\:size\:of\:the\:whale's\:body\:is\: \frac{3}{4}x}$

$\sf{And\:the\:size\:of\:the\:whale's\:tail\:is\:4+( \frac{1}{4} \times \frac{3}{4})x}$

$= 4 + \frac{3}{16} x$

$\bf\pink{➟According\:to\:the\:problem:}$

$\sf{x - ( \frac{3}{4} + (4 + \frac{3}{16}x) = 4 }$

$\sf{⇒x - ( \frac{3}{4} x + 4 + \frac{3}{16}x ) = 4}$

$\sf{⇒x - \frac{3}{4} x - 4 - \frac{3}{16} x = 4}$

$\sf{⇒x - \frac{3}{4}x - \frac{3}{16}x = 4 + 4}$

$\sf{⇒ \frac{16x - 12x - 3x}{16} = 8}$

$\sf{⇒ \frac{x}{16} = 8}$

$\sf{⇒x = 8 \times 16}$

$\sf{⇒x = 128}$

Answer↷

Therefore, the total size of the whale is 128 inches.