Question

your class grade consists of 40% homework, 25% quizzes and 35% final exam. suppose you have earned 95% in homework and 84% in quizzes entering the final exam. what percentage do you have to earn in the final in order to have an 87% overall percentage?

Answer 1

You have an 81.3. To find this you take your average for the parts, say for example the tests and multiply it times the percentage as a decimal. So for the tests it would be 84.20*0.40

So out of 40 points possible of the 100 final points you got 33.68. You would do this for all the sections and add the points together

(84.20*0.40)+(61.75*0.35)+(99.57*0.15)

Answer 2

The earning would be approximately 79.29 % in the final exam

Explanation:

Given,

In class grade the percentage of homework = 40 % = 0.40 ,

Percentage of quizzes = 25 % = 0.25,

Percentage of final exam = 35 %=0.35,

Also, there is an earning of 95% in homework and 84% in quizzes entering the final exam,

⇒ Earning in homework = 95 % of 0.40,

And, earning in quizzes = 84 % of 0.25

Let x be the percentage do you have to earn in the final in order to have an 87% overall percentage,

`\implies 95 \%\text{ of }0.40+84\%\text{ of }0.25 + x\%\text{ of }0.35=87\%`

`59.25+0.35x=87`

`0.35x=27.75`

`\implies x = 79.2857142857\approx 79.29\%`

Hence, the earning would be approximately 79.29 % in the final exam in order to have an 87% overall percentage.