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Princess Leia

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I just wanted to see if anyone could solve this.

"The Monkey Question"​

A rope over the top of a fence has the same length on each side and weighs one-third of a pound per foot. On one end hangs a monkey holding a banana, and on the other end a weight equal to the weight of the monkey. The banana weighs two ounces per inch. The length of the rope in feet is the same as the age of the monkey, and the weight of the monkey in ounces is as much as the age of the monkey's mother. The combined ages of the monkey and its mother are 30 years. One-half the weight of the monkey plus the weight of the banana is one-fourth the sum of the weights of the rope and the weight. The monkey's mother is one-half as old as the monkey will be when it is three times as old as its mother was when she was one-half as old as the monkey will be when it is as old as its mother will be when she is four times as old as the monkey was when it was twice as old as its mother was when she was one-third as old as the monkey was when it was as old as its mother was when she was three times as old as the monkey was when it was one-fourth as old as it is now. How long is the banana?​

There is an answer to this! I didn't figure it out, but one of my classmates did, and my math teacher said it was right. I will post the answer in a week or so but I want to see what kind of answers people come up with :)
 

~ Gig ~

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Your right chris714ndud3, Trust me
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Monkey's age: x
Monkey's weight: w oz
Monkey mother's age: y
Rope's length: r ft
Rope's weight: 1/3 lb/ft = 4/9 oz/in
Banana length: b in
Banana's weight: 2b oz

(1) r = x
(2) w = y
(3) x + y = 30
(4) (1/2)w + 2b = (1/4)[(4/9)(12r) + w]
(5) y = (1/2)(3)(1/2)(4)(2)(1/3)(3)(1/4)x

From (5):
y = (3/2)x
Substitute y = (3/2)x into (3):
x + (3/2)x = 30
(5/2)x = 30
(5/2)x * (2/5) = 30 * (2/5)
x = 12
Solve for y, r, w, and b:
y = 18
n = 12
w = 18
Substitute r = 12 and w = 18 into (4):
(1/2)(1
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+ 2b = (1/4)[(4/9)(144) + 18]
9 + 2b = 41/2
2b = 23/2
b = 23/4

The length of the banana is 23/4 inches or 5.75 inches long.
 
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The real reason for comedy is to hide the pain...
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That was a crazy riddle. :) When I saw the sentence about the mother and the monkey, I was like WHAT???!! :scratch: Anyways, I tried it and I got 5.75 in. Is it the right answer?
NICE DUDE!!

An forever Thankful,nice math!!
 
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