Ateacher gives a test to two algebra classes. the first class has 18 students, and the second has 24 students. if the average for the first class is 84% and x is the overall average grade for all students, then which of the following statements is true? a) 84≤x≤93.1b) 42≤x≤92c) 36≤x≤93.1d) 36≤x≤92e) 42≤x≤84

The C) statement is true.

Explanation:

Let's call the average for the first class and the average for the second class. The overall average x is then:

Since the average is given by . We can now calculate x assuming the maximun and minimun values of , 2400 (which is 100 times 24) and 0 respectivly. That gives:

for it's maximun value and

for it's minimun value. So we get that x is between 36% and 93%.

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