SOLUTION: at a certain highschool, the respective weights for the following subjects are: Math 3, engish 3, histry 3, science 2, art 1. What is the students average whose marks are the fol

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Question 174530: at a certain highschool, the respective weights for the following subjects are:
Math 3, engish 3, histry 3, science 2, art 1. What is the students average whose marks are the following geometry 89, american literature 92, american history 94, biology 81, sculpture 85? i tried averaging but cant get the ans. i am doing a prcaitce exam test, the answer is 88.9. please be as descriptive as possible, i have a few other similar problem, in the practice book.

Found 2 solutions by Edwin McCravy, ankor@dixie-net.com:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
at a certain highschool, the respective weights for the following subjects are:
Math 3, engish 3, histry 3, science 2, art 1. What is the students average whose marks are the following geometry 89, american literature 92, american history 94, biology 81, sculpture 85? i tried averaging but cant get the ans. i am doing a prcaitce exam test, the answer is 88.9. please be as descriptive as possible, i have a few other similar problem, in the practice book.

Since geometry is a math course, and since the
mark for geometry is 89, and since the weight 
for math is 3,  we put 89 down 3 times in the list:

89
89
89

Since American literature is an English course, 
and since the mark for American literature is 92, 
and since the weight for English is 3, we also 
put 92 down 3 times. So now we have:

89
89
89
92
92
92

Since American history is an history course, and 
since the mark for American history is 94, and 
since the weight for history is 3, we also put 
94 down 3 times. So now we have:

89
89
89
92
92
92
94
94
94

Since biology is a science course, and since the 
mark for biology is 81, and since the weight
for science is 2, we also put 81 down 2 times. 
So now we have:

89
89
89
92
92
92
94
94
94
81
81

Since sculpture is an art course, and since the 
mark for sculpture is 85, and since the weight 
for art is 1, we put 85 down just 1 time. 
So now we have:

89
89
89
92
92
92
94
94
94
81
81
85

Now we average up those 12 numbers.

Adding them we get 1072, then dividing by 12,
wwe get 89.333333...  Your book's answer is wrong.

Actually we used this formula. It's exactly the same thing.

...

The answer in your book is wrong.  If the weight of history had been 2,
the average would have been 88.9090909091.  

Edwin

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Math 3, engish 3, histry 3, science 2, art 1. What is the students average whose marks are the following geometry 89, american literature 92, american history 94, biology 81, sculpture 85?
:
I think I know how to do this, but I don't get 88.9
:
Treat it like 3 geometry grades, 3 lit grades, 3 history grades,
2 biology grades and 1 sculpture grade, for a total of 12 grades:
:
=
:

:
= 89.3

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