Your grade consists of three 100 point exams and a final that is worth 150 points. You score a 71, 74, and 92 on the three exams. Your final grade in the class is 82%. How many points did you earn on the final?

Question

ash2326 · Answer

@justine97 Final grade is the percentage of score obtained . Suppose I score x in the final which is worth 150 points. Let's find my total score
Can you find my total score ?

anonymous · Answer

So (71+74+92+x)/4 = 82?

ash2326 · Answer

It will be divided by (100+100+100+150) and multiplied by 100 to find %

ash2326 · Answer

do you follow?

anonymous · Answer

I'm not really sure what you mean by 100+100+100+150?

ash2326 · Answer

This is the max score, three tests are for 100 max marks and one test for 150. So total 100+100+100+150

anonymous · Answer

Okay so how do you find out what you got on the final?

ash2326 · Answer

How much total did you obtain?

anonymous · Answer

I got 136.5 points

ash2326 · Answer

We do need to find the average. Just find the sum. Let's say that S
$$S=71+74+92+x$$

ash2326 · Answer

@justine97 Can you find the sum?

anonymous · Answer

How would I find that?

ash2326 · Answer

S=71+74+92+x
S=145+92+x
S=237+x
Do you follow?

anonymous · Answer

Yes.

ash2326 · Answer

okay, let's find the total of max marks of all 4 tests. Can you find that?

anonymous · Answer

I got 450 pts. What do we do next?

ash2326 · Answer

now
$$\frac{237+x}{450}\times 100=82$$
Can you find x from here?

anonymous · Answer

I got 132. Is that the right answer?

ash2326 · Answer

correct, do you understand?

anonymous · Answer

Yes. Thank you!! :')