SOLUTION: Mr. Howard has two different classes of sophomore Geometry students. On a recent Geometry test, the average score for the two classes combined was exactly an 84.6%. Mr. Howard do

Question 962211: Mr. Howard has two different classes of sophomore Geometry students. On a recent Geometry test, the average score for the two classes combined was exactly an 84.6%. Mr. Howard does not have the same number of students in both classes, and the two classes did not have the same average for the test. For example, the class average for his first period class of 23 students was a 91%. How many students are in his second period class, if their class average was an 80%?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of students in 2nd period class
Let = sum of the scores for the 1st period class
Let = sum of the scores for the 2nd period class
For 2nd period class:
(1)
------------------
For 1st period class:
(2)
------------------
(3)
-----------------------------
There are 3 equations and 3 unknowns, so it's solvable
(2)
(2)
and
(1)
and
(3)
(3)
(3)
(3)
(3)
(3)
(3)
and
(1)
(1)
(1)
and
There are 32 students in the 2nd period class
----------------
check:
Total number of students =

Average for total =

OK

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