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Mogling
RealPoor Guru
Joined: 29 Dec 2002
Posts: 2451
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 Posted: 11/17/03 - 11:35 Post subject: Word Problems...
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Okay so I got a funky extra credit wordproblem in math, I think I have the correct answer but if any one could check it It would be much <3.
| Quote: | A rope over the top of a pulley has 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 is attached a weight equal to the weight of the monkey and the banana. 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 ages of the monkey and its mother are thirty years. One 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 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 was 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?
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I got 92inches.
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Akronn
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WheresNWS
RealPoor Master of Posts
Joined: 19 Nov 2002
Posts: 6448
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Posted: 11/17/03 - 11:43 Post subject: Re: Word Problems...
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| Mogling wrote: | Okay so I got a funky extra credit wordproblem in math, I think I have the correct answer but if any one could check it It would be much <3.
| Quote: | A rope over the top of a pulley has 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 is attached a weight equal to the weight of the monkey and the banana. 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 ages of the monkey and its mother are thirty years. One 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 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 was 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?
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I got 92inches. |
Damn. I only have 9 inches.
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compusmack
RealPoor Master of Posts
Joined: 15 Oct 2002
Posts: 6354
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Posted: 11/17/03 - 11:44 Post subject:
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haha. The exact problem, free for anyone to see.
To be honest, i'm a firm believer in having the answers available for you to check your work. Once you are in high school, it's pointless to withhold the answers to math problems, you can learn so much better when you can see the solution.
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Mogling
RealPoor Guru
Joined: 29 Dec 2002
Posts: 2451
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Posted: 11/17/03 - 11:59 Post subject:
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There is a small differance in the problem I posted and the problem you linked too...
Yours | Quote: | | one end hangs a monkey holding a banana, and on the other end a weight equal to the weight of the monkey. |
Mine | Quote: | | one end hangs a monkey holding a banana, and on the other end is attached a weight equal to the weight of the monkeyand the banana. |
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Akronn
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Posted: 11/17/03 - 12:01 Post subject:
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The banana would essentially be weightless compared to the monkey, would it not?
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Gethy
RealPoor Master of Posts
Joined: 11 Oct 2002
Posts: 5595
Location: Tallahassee, FL
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Posted: 11/17/03 - 12:17 Post subject:
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The weight of the banana wouldn't be negligable, I don't think.
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Buntz
RealPoor Guru
Joined: 13 Oct 2002
Posts: 3340
Location: Banner Elk, N.C.
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Posted: 11/17/03 - 12:26 Post subject:
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I'd kill for a banana right about now.
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Eduin
Sir Postalot
Joined: 14 Oct 2002
Posts: 1046
Location: Glasgow
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Posted: 11/17/03 - 13:13 Post subject:
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Lol, dumb septics are still teaching their kids in imperial units. There really is no hope for that nation.
Regards,
Eduin
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Paco
RealPoor Jedi
Joined: 13 Oct 2002
Posts: 12939
Location: Jacksonville, FL
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Posted: 11/17/03 - 13:16 Post subject:
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Scotland didn't place on that list that Norway topped out on. Did they?
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Eduin
Sir Postalot
Joined: 14 Oct 2002
Posts: 1046
Location: Glasgow
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Posted: 11/17/03 - 13:36 Post subject:
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For referrence the answer is :-
Ratio of Monkey Ages = 0.5 x 3 x 0.5 x 4 x 2 x 0.33 x 3 x 0.25 which is 6:4
So the mother is 18 and the monkey is 12.
This gives :-
rope length - 12'
monkey weight - 18oz
rope weight - 64oz
we also have the weight equations :-
w = m + b
(w + r) / 4 = 0.5m + b
where :-
w = weight of the weight
r = weight of the rope
m = weight of the monkey
b = weight of banana
replacing w with m + b (first equation) gives :-
(m + b + r) / 4 = 0.5m + b
solving for b
m + b + r = 2m + 4b
-3b = m - r
b = ( r - m ) / 3
b = ( 64 - 18 ) / 3 (in ounces)
b = 15.33oz
As we know bananas weigh 2oz per inch the banana is 7.67 inches long.
BTW, how old are you Mogling? I remember getting set questions like this is Form 1 (12 to 13 years old).
Regards,
Eduin
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