Answer:
Afternoon class has more students.
Step-by-step explanation:
Let m be the number of students in the morning class and n be the number of students in the afternoon class.
The average score for the students in the morning class was 80, then the sum of their scores is [tex]80m.[/tex]
The average score for the students in the afternoon class was 86, then the sum of their scores is [tex]86n.[/tex]
The sum of the scores of both classes is
[tex]80m+86n[/tex]
and the average score is
[tex]\dfrac{80m+86n}{m+n}[/tex]
The average (arithmetic mean) score for the two classes combined was 84, then
[tex]\dfrac{80m+86n}{m+n}=84\\ \\ 80m+86n=84m+84n\\ \\86n-84n=84m-80m\\ \\2n=4m\\ \\n=2m[/tex]
This means n is greater, so afternoon class has more students.
