Question

A student scores an 83% on their first test and a 77% on their second test. Their final exam is worth twice as much as each test. If the student scores a 70% on their final, what is their overall grade for the class? If necessary, round to the nearest whole number.

Answer 1

* The student scored 83% on the first test

* The student scored 77% on the second test

* The final exam is worth twice as much as each test

* The student scored 70% on the final exam

* To calculate the overall grade:

* - First test grade (83%) * 1 test weight

* - Second test grade (77%) * 1 test weight

* - Final exam grade (70%) * 2 test weights (since it's worth twice as much)

* - Add these weighted grades

* - Divide by total weights (1 + 1 + 2 = 4)

* Calculation:

* (83% * 1) + (77% * 1) + (70% * 2) = 83% + 77% + 140% = 300%

* 300% / 4 weights = 75%

* Therefore, the student's overall grade is 75% (rounded to the nearest whole number).