A fish has a head 9 inches long. The tail is equal to the size of the head plus one half the size of the body. The body is the size of the head plus the tail. How long is the fish. Please show me how you arrived at answer cuz I know he will ask. Thanks.
2006-12-20 10:31:00 · 4 answers · asked by Dizzymisslizzie 2 in Science & Mathematics ➔ Mathematics
Ok, length of fish = tail + body + head, let's call them t, b, and h respectively.
now we have h = 9
t = h + 1/2 b
b = h + t
Substituting,
b = h + h + 1/2b
= 9 + 9 + 1/2 b
= 18 + 1/2 b
Now subtract 1/2 b from each side and you get
1/2 b = 18 so b = 36
Now t = h + 1/2b = 9 + 18 = 27
h = 9 as given
So the total length of the fish is h + b + t = 9 + 36 + 27 = 72 inches
2006-12-20 10:38:56 · answer #1 · answered by Joni DaNerd 6 · 0⤊ 0⤋
head = 9 inches
tail(27) = size of head(9) + .5 size of body(18)
body(36) = size of head(9) + tail(27)
9 + 27 + 36 = 72 inches
Hmm impress a guy over a math problem, never heard that one before.
2006-12-20 18:48:09 · answer #2 · answered by sstrayer 2 · 0⤊ 0⤋
h=head
t=tail
b=body
9=h
t=h+.5b
b=h+t
9=9
t=9+.5b
b=9+t
9+.5b=b-9
b=9
Yikes the fish doesnt have a tail! ACk! hhaha.
Meh to lazy to work it out.
2006-12-20 18:39:47 · answer #3 · answered by MXG 2 · 0⤊ 1⤋
H = 9
T = H + B/2
B = H + T
Three equations, three variables, so this is solvable. I'll let you finish - then you can honestly tell your boyfriend you figured it out yourself. :)
2006-12-20 18:36:21 · answer #4 · answered by Anonymous · 2⤊ 0⤋