Anonymous ID: 9b3763 April 1, 2024, 1:09 p.m. No.20662884   🗄️.is 🔗kun   >>2891

>>20662865

>A rope lying over the top of a fence is the same length on each side. It

 

>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 rope is as long (in feet) as

 

>the age of the monkey (in years), and the weight of the monkey (in ounces)

 

>is the same as the age of the monkey's mother. The combined age of the

 

>monkey and its mother is thirty years. One half of the weight of the monkey,

 

>plus the weight of the banana, is one forth as much as the weight of the

 

>weight and the weight of the rope. The monkey's mother is half as old as

 

>the monkey will be when it is three times as old as its mother was when she

 

>she was half as old as the monkey will be when 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 its mother was when she was one third as old as the monkey was when it

 

>was old as is 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?

Solution:

The answer is 5.75 inches long.

 

Let A = age of the monkey now and

let M = age of his Mother.

Then A + M = 30.

From the long sentence,

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

Solving simultaneously, 2.5 A = 30

so A = 12 (the age of the monkey) and

M = 18 (the age of the monkey's mother).

 

So the weight of the monkey is 18 oz.

The length of the rope is 12 feet.

The rope weighs 2 pounds.

The weight weighs 18 ounces.

The banana weighs 11.5 ounces, so

the banana is 5.75 inches long.