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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

Respuesta :

Answer: Option 'b' is correct.

Step-by-step 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

[tex]0.2\times 95\\\\=19[/tex]

Score of Quiz is given by

[tex]0.2\times 90\\\\=18[/tex]

Score of test is given by

[tex]0.4\times 87\\\\=34.8[/tex]

So, it becomes,

[tex]19+18+34.8+x=90\\\\71.8+x=90\\\\x=90-71.8\\\\x=18.2[/tex]

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

[tex]\dfrac{20}{100}\times y=18.2\\\\y=\dfrac{18.2}{0.2}\\\\y=91[/tex]

Hence, Option 'b' is correct.

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