Question

Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%.

What will your final grade be if your homework average is 85 and your test average is 76?

Answer 1

67% of 85

`\\ \sf\longmapsto (67)/(100)* 85`

`\\ \sf\longmapsto 85(0.67)`

`\\ \sf\longmapsto 56.95`

33% of 76

`\\ \sf\longmapsto (33)/(100)* 76`

`\\ \sf\longmapsto 76(0.33)`

`\\ \sf\longmapsto 25.08`

Add both

`\\ \sf\longmapsto 56.95+25.08`

`\\ \sf\longmapsto 82.03`

Answer 2

• ≈ 82

Explanation:

Add 67% of 85 to 33% of 76:

• 85*0.67 + 76*0.33 = 82.03 ≈ 82