Thread: Monkey Problem
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  #9  
Old 07-19-2004, 12:09 PM
IowaStatePhiPsi IowaStatePhiPsi is offline
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Join Date: Jun 2004
Posts: 2,624
Quote:
Originally posted by Rudey
5.75 inches.

-Rudey
R.W = weight of the rope (ounces by default)
R.L = length of the rope (inches by default)
M.W = weight of the monkey (ounces by default)
M.A = age of the monkey (years by default)
B.W = weight of the banana (ounces by default)
B.L = length of the banana (inches by default)
O.A = age of the monkey's mother (years by default)

R.W = 1/3lb/ft * R.L * 16 ounces/1lb * 1ft/12inches
R.W = 4ounces/9inches * R.L
B.W = 2ounces/inch * B.L
R.L = M.A * feet/year
M.W = O.A * ounce/year
M.A + O.A = 30 years
1/2M.W + B.W = 1/4(R.w + M.W) //the weight weighs as much as the monkey (no extra variable because we don't see this again)
1/2M.W + B.W = 1/4R.W + 1/4M.W
B.W = 1/4R.W - 1/4M.W
M.W = (30 years - M.A ) * ounce/year
O.A = 1/2(3(1/2(4(2(1/3(3(1/4(M.A))))))))
O.A = 3/2M.A
M.A + 3/2M.A = 30 years
5/2 M.A = 30 years
M.A = 12 years

B.L = ???
B.L = B.W * 1inch/2ounces
B.W = 1/4R.W - 1/4M.W
R.W = 4ounces/9inches * R.L
M.W = (30 years - M.A ) * ounce/year
O.A = 3/2M.A
M.A + 3/2M.A = 30 years
5/2 M.A = 30 years
M.A = 12 years
M.W = (30 years - 12 years ) * ounce/year
M.W = 18 ounces
R.L = 12 years * feet/year * 12inches/foot
R.L = 144 inches
R.W = 4ounces/9inches * 144 inches
R.W = 64 ounces
B.W = 1/4(64 ounces) - 1/4(18 ounces)
B.W = 16 ounces - 9/2 ounces
B.W = 23/2 ounces
B.L = 23/2 ounces * 1inch/2ounces
B.L = 23/4 inch

The rope weighs 4 lbs and is 12 feet long.
The monkey weighs 18 ounces and is 12 years old.
The monkey's mother is 18 years old.
The banana weighs 11.5 ounces and is 5.75 inches long.
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