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?
A)128 B)99 C)136 D)142
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Step-by-step explanation:
[tex]\huge\tt\fbox\purple{Given:-}[/tex]
=> The tail is to be as long as it’s head plus a quarter of the length of the body.
=> Length of body be ¾ of the length.
=> Head is 4 inches long.
[tex]\huge\tt\fbox\purple{To Find:- }[/tex]
=> The total length of whale.
[tex]\huge\tt\fbox\purple{Solution:-
}[/tex]
=> Head = 4 inch
=> Body = x inch
=> Tail = Head + 1/4x
=> Tail = 4 + x/4 inches.
Total length = Head + Body + Tail
=> 4+x+4+x/4
=> 8 + 5x/4
Body = 3/4T Total length
x = 3/4 (8 + 5x/4)
4x = 3 × 32 + 5x/4
16x = 96 + 15x
x = 96
Total length = 8 + 5 × 96/4
=> 8 + 5 × 24
=> 8 + 120
=> 128
[tex]\huge\tt\fbox\purple{Answer}[/tex]
=> Head = 4 inches
=> Body = 96 inches
=> Tail = 28 inches
Therefore, The total length of the whale is 128inches.
Answer:
Head = 4 inches
=> Body = 96 inches
=> Tail = 28 inches
Step-by-step explanation:
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