SOLUTION: Hello, Here is the question: A teacher 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 cla

Question 998777: Hello,
Here is the question:
A teacher 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≤93.1
B) 42≤X≤92
C) 36≤X≤93.1
D) 36≤X≤92
E) 42≤X≤84
(I don't know how to solve for the numbers)
Found 2 solutions by macston, KMST:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
The sum of scores for first class:
18*84=1512
.
LOWEST POSSIBLE AVERAGE:
If average of second class=0, sum of scores for second class:
24*0=0
And combined average:
(1512+0)/42=36
The lowest average will be 36.
.
HIGHEST POSSIBLE AVERAGE:
If the average of the second class=100, sum of scores for second class:
24*100=2400
And combined average:
(1512+2400)/42=93.14
The highest average will be 93.14
.
So the possible average range will be:
< <
.
So the correct answer is (C).
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

Since (rounded),
an average grade of would be reported as .
So, .

EXPLANATION:
The total number of students taking the test is
.
Maybe every student in the second class got on the test.
In that case, the sum of all the test grades is
, and the average grade for all students is
.
So you would say .
Probably the second class did better that that, and .
Maybe every student in the second class got on the test.
In that case, the sum of all the test grades is
, and the average grade for all students is
(rounded).
So you would say .
However, most likely not every student in the second class got 100%,
so the sum of the grades would be less than ,
and the average would probably be less than .
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