Question

Anna has the following averages in his math class:

Homework Avg: 95
Quiz Avg: 90
Test Avg: 87
Final Exam: ??

If the teacher weights homework at 20%, Quizzes at 20%, Test at 40%, and the final exam at 20%, what is the minimum grade Anna can make on the final so that she scores a 90 in the class?

a. 86 c. 94


b. 91 d. 98

Answer 1

Answer: Option 'b' is correct.

Explanation:

Since we have given that

Average marks in Homework = 95

Average marks in Quiz = 90

Average marks in Test = 87

According to question, we have that the teacher weights homework at 20%, Quizzes at 20%, Test at 40%, and the final exam at 20%

Total score in the class = 90

So, Score of homework is given by

`0.2* 95\\\\=19`

Score of Quiz is given by

`0.2* 90\\\\=18`

Score of test is given by

`0.4* 87\\\\=34.8`

So, it becomes,

`19+18+34.8+x=90\\\\71.8+x=90\\\\x=90-71.8\\\\x=18.2`

So, minimum grade Anna can make on the final is given by

`(20)/(100)* y=18.2\\\\y=(18.2)/(0.2)\\\\y=91`

Hence, Option 'b' is correct.