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Q: Math Olympiad ( No Answer,   2 Comments )
Question  
Subject: Math Olympiad
Category: Reference, Education and News > Education
Asked by: math1245-ga
List Price: $2.00
Posted: 28 Oct 2005 15:24 PDT
Expires: 27 Nov 2005 14:24 PST
Question ID: 586196
On a recent geography test, Amanda scored 5 point below the class
average, Barb scored 8 points above the class average, and collin
scored 82. The average of the scores of Amanda,Barb, and Collin was
equal to the class average. What is the class average?
Answer  
There is no answer at this time.

Comments  
Subject: Re: Math Olympiad
From: mongolia-ga on 28 Oct 2005 16:15 PDT
 
I know the answer to this but I wom't stiff a researcher out of their two bucks

Yours 

Mongolia
Subject: Re: Math Olympiad
From: weesy-ga on 01 Nov 2005 06:21 PST
 
I don't mind stiffing:

Let A, B and C be the scores for Amanda, Barb and Collin respectively
and let S be the average score on the exam.  Then,

A = S - 5
B = S + 8
C = 82

Adding all 3 equations up we get

A + B + C = 2S + 85

and since the average scores of the 3 were the class average we know that

(A + B + C)/3 = S

or A + B + C = 3S

we can substitute this for the left-hand side of our first equation and get

3S = 2S + 85

Solving for S gives

S = 85


P.S. Don't pay for answers like this.  Go to a math forum.  Here's a
great one:  http://mathforum.org/

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