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?
Answers
Answer:
128 inches
Explanation:
Letthetotalsizeofthewhalebex
\sf{Then,\:the\:size\:of\:the\:whale's\:body\:is\: \frac{3}{4}x}Then,thesizeofthewhale′sbodyis43x
\sf{And\:the\:size\:of\:the\:whale's\:tail\:is \: 4 + ( \frac{1}{4} \times \frac{3}{4} x)}Andthesizeofthewhale′stailis4+(41×43x)
\bf\pink{According\:to\:the\:question:}Accordingtothequestion:
\sf{x - ( \frac{3}{4} + (4 + \frac{3}{16})) = 4}x−(43+(4+163))=4
\sf{⇒x - ( \frac{3}{4}x + 4 + \frac{3}{16}x) = 4}⇒x−(43x+4+163x)=4
\sf{⇒x - \frac{3}{4}x - 4 - \frac{3}{16} x = 4 }⇒x−43x−4−163x=4
\sf{⇒x - \frac{3}{4} x - \frac{3}{16} x = 4 + 4}⇒x−43x−163x=4+4
\sf{⇒ \frac{16x - 12x - 3x}{16} = 8}⇒1616x−12x−3x=8
\sf{⇒ \frac{x}{16} = 8}⇒16x=8
\sf{⇒x = 8 \times 16}⇒x=8×16
\sf{⇒x = 128}⇒x=128
\bf\underline\red{Answer:}Answer:
The total size of the whale is 128 inches.
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