1. A rope over the top of a fence has the same length on each side. Weighs 1/3 p

Question

1. A rope over the top of a fence has the same length on each side. Weighs 1/3 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 rope is as long 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 monkey and mother are thirty years. Half the weight of the monkey, plus the weight of the banana, is one fourth as much as the weight of the weight and the rope. The monkey's mother is half as old as the monkey will be when it is 3 times as old as its mother was when she was half as old as the monkey will be when it is as old as its mother will be when she is 4 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 3 times as old as the monkey was when it was as old as its mother was when she was 3 times as old as the monkey was when it was one fourth was old as it is now. How long is the banana?

Explanation / Answer

let A=age of the monkey now and

let B=age of his mother

then A+M=30 from the long sentence

M=.5(3(.5(4(2((1/3)(3(.25A))))))

solving simutaneously,2.5A=30

so,

A=12(the age of the monkey) and

M=18(the age of the mother monkey)

so,the weight of the monkey is 18OZ

the lenght of the rope is 12feet

the rope weighs 2pounds

the weight weighs 18ounces

the banana weight 11.5 ounces,so

the banana is 5.75 inches long.

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