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Subject: "HELP!"     Previous Topic | Next Topic
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Conferences The CTK Exchange Middle school Topic #34
Reading Topic #34
KELSEY
Charter Member
2 posts
Jan-22-01, 11:33 PM (EST)
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"HELP!"
 
   COULD YOU PLEASE HELP ME?? I HAVE THE ANSWER BUT I DO NOT KNOW HOW MY FATHER GOT THE ANSWER?
qUESTION: Suppose five bales of hay are weighed two at a
time in all possible ways . The weights in pounds are 110,
112,113,114,115,116,117,118,120, and 121 .How much does
each bale weigh ??
What is the formula and what type of math problem is this?
Thank-you very much!


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alexb
Charter Member
672 posts
Jan-22-01, 11:49 PM (EST)
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1. "RE: HELP!"
In response to message #0
 
   First, let's make some sense.
The subject matter "HELP!" does not.
This may happen that I'll be asked the same question twice.
Do I have to waste that much time?

The subject matter must be more relevant to your problem.

>COULD YOU PLEASE HELP ME?? I
>HAVE THE ANSWER BUT I
>DO NOT KNOW HOW MY
>FATHER GOT THE ANSWER?

Are you not on speaking terms with your father?
Perhaps he wants you to do some thinking. May
it be so?

>qUESTION: Suppose five bales of hay
>are weighed two at a
>
>time in all possible ways .
>The weights in pounds are
>110,
>112,113,114,115,116,117,118,120, and 121 .How much does
>
>each bale weigh ??
>What is the formula

Formula for what? Just stop to think for a moment before you pose a question.

> and what
>type of math problem is
>this?

A simple problem that requires a little creativity.

>Thank-you very much!

Well, let's try moving ahead.

First of all, you are looking for 5 different numbers. Is that clear? No 2 numbers may be the same. Try to justify this claim.

Imagine having written down the 10 equations and, subsequently, summing them up. What will be the right hand side? The left hand side will be interesting. It'll be 4 times the sum of the 5 unknown numbers. From here you'll be able to determine the sum -
289.

Assume the 5 distinct numbers listed in the order of the magnitudes are a, b, c, d, e. Then a + b = 110. d + e = 121. From here and the sum being 289, c = 58.

a + b = 110. There are just two possibilities:

a = 54, b = 56, or
a = 53, b = 57.

d + e = 121. There are just two possibilities:

d = 60, e = 61, or
d = 59, e = 62

Just see, by trial and error, which ones work.


Let the numbers be a, b, c, d, e in the growing order: a is the smallest, e the largest.


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KELSEY
Charter Member
2 posts
Jan-23-01, 09:46 PM (EST)
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2. "RE: HELP!"
In response to message #1
 
   Didn't mean to get your feathers ruffled. The correct answer is 54,56,58,59,and 62. thanks for your help!

Kelsey Haarbauer
Durango,Colorado


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alexb
Charter Member
672 posts
Jan-23-01, 09:49 PM (EST)
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3. "RE: HELP!"
In response to message #2
 
   >Didn't mean to get your feathers
>ruffled.

I know, and you did not.

>The correct answer is
>54,56,58,59,and 62.

Good.

>thanks for your
>help!

You are welcome.


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