The mean GPA in a class of 14 students is 3.12. One student, whose GPA is 2.41, drops
the class. Two new students, whose GPAs are 3.97 and 4.26, join the class. What is the
new mean GPA of the class?

Question

The mean GPA in a class of 14 students is 3.12. One student, whose GPA is 2.41, drops
the class. Two new students, whose GPAs are 3.97 and 4.26, join the class. What is the
new mean GPA of the class?

anonymous · Answer

The total GPS start out as: $$
14\times 3.12
$$

anonymous · Answer

Then that total is lowered by $2.41$ and raised by $3.97+4.26$.  The new number of students after this is $15$.

anonymous · Answer

So combining this all together: $$
15\overline{x}=14(3.12) -2.41+3.97+4.26
$$Just find $\overline{x}$.