Lindsey has 75% as her final grade, but after she writes her exam she gets 85%.

If her exam is worth 7.5%, what is her final grade.

Multiply 75 by 0.925.

Multiply 85 by 0.075.

Add the two products together to get her final grade.

Thanks but,I don't understand, because

75x0.925= 69.375
85x0.075= 6.375

69.375 + 6.375= 75

How can that be right? Where did you get 0.925 from. Isn't her final grade going to go up after her 85% on the exam.

Don't you take 75x0.075= 6.375

then add that to her final grade of 75% to get 81.375?

I got the 0.925 by subtracting 0.075 from 1.

By my calculations, the grade only goes up from 75 to 75.75. Rounded to the nearest percent = 75.75 = 76. A final grade of 76% makes sense because the exam is only a small part of the final grade.

No, that's not correct.

75% is an average of all of the work that she did during the semester.

To find Lindsey's final grade, we need to consider two components: her current grade and her exam grade.

First, we'll calculate the weight of her current grade. Since her exam is worth 7.5% and her current grade represents the remaining weight, it means her current grade is worth 100% - 7.5% = 92.5%.

Next, we'll calculate the average of her current grade and her exam grade, taking into account their respective weights. We can do this by multiplying each grade by its weight and summing them up.

The calculation can be done as follows:

(Current Grade x Current Grade Weight) + (Exam Grade x Exam Grade Weight)

Calculating:

(75% x 92.5%) + (85% x 7.5%)
= 0.75 x 0.925 + 0.85 x 0.075
= 0.69375 + 0.06375
= 0.7575

Therefore, Lindsey's final grade is 75.75% after rounding off the decimal.