After two semesters of course work, a student has completed 32 credit hours of course work with a grade point average of 3.15. What grade point average will the
student need to complete in order to raise their cumulative grade point average to 3.2, if the student is taking 14 credit hours of graded course work this semester
(third semester)?

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joaobezerra joaobezerra · Answer 1 · 2021-10-22T12:44:18+02:00

Using weighed average, it is found that the student will need a GPA of 3.31.

To find a weighed average, each value is multiplied by it's weight.

For the student's average, we have that:

We want the mean to be 3.2, thus:

[tex]\frac{3.15(32) + 14x}{32 + 14} = 3.2[/tex]

[tex]3.15(32) + 14x = 46(3.2)[/tex]

[tex]14x = 46(3.2) - 32(3.15)[/tex]

[tex]14x = 46.4[/tex]

[tex]x = \frac{46.4}{14}[/tex]

[tex]x = 3.31[/tex]

The student will need a GPA of 3.31.

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