SOLUTION: Solving Rational Equations and Inqualities, 10 point help, Please!? Ananda wanted to determine the average of her 6 test scores.She added the scores correctly to get T ,but divide

Question 469113: Solving Rational Equations and Inqualities, 10 point help, Please!?
Ananda wanted to determine the average of her 6 test scores.She added the scores correctly to get T ,but divided by 7 instead of 6 .The result was 12 less than her actual average . Which equation coule be use to determine the value of T?
A) 6T+12=7T
B) (T/7)=(T-12)/6
c) (T/7)+12=T/6
D)( T/6)+[(T-12)/7]
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Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
Ananda wanted to determine the average of her 6 test scores.She added the scores correctly to get T ,but divided by 7 instead of 6 .The result was 12 less than her actual average . Which equation coule be use to determine the value of T?
A) 6T+12=7T
B) (T/7)=(T-12)/6
c) (T/7)+12=T/6
D)( T/6)+[(T-12)/7]
-----
your solution is C.
T/7 + 12 = T/6
This equation is arrived at in the following manner:
The average she should have gotten is given by the equation:
A = T/6
Instead she got an average using the following formula:
A = T/7
This Average is 12 less than the average she would have gotten had she divided by 6.
The equation for that relationship is:
T/7 = (T/6) - 12
If you add 12 to both sides of this equation, you get:
(T/7) + 12 = (T/6).
That's selection C.

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