math help!?

Question

if a student has 65% as their mark in a music theory course, and the final exam is worth 25%, what percentage on the exam will the student have to achieve in order to pass the course? The passing percentage is 51%.

Answer 1

Let x be the score they need to achieve on their final exam. then we have

65*0.75 + x*0.25 >= 51

Solving for x gives us

x*0.25 >= 51 - 65*0.75 = 51 - 48.75 = 2.25.

Therefore

x >= 2.25/0.25 = 9 (should be able to pass with your eyes closed)

Math Rules!

Answer 2

Let the total marks be 100.

So final exam is of 25 marks.
So, the previous exams were of 75 marks.

Now, the student secured 65% of that 75 marks = 65 * 75 / 100
= 65*3/4
= 48.75

Out of 100, the student should score 51 to pass.
So, marks required in final exam = 51 - 48.75 = 2.25

He should score 2.25 our of 25 which comes to 9%
so 9% is the answer.

Answer 3

Let's say they get a mark of x% on the exam.
Then their final mark is composed 75% of the course mark and 25% of the final, so it will be
75% × 65% + 25% × x%
and we want to know the value of x that will make this equal to 51%. So we get
48.75% + 25% × x% = 51%
=> 25% × x% = 2.25%
=> x% = 2.25% / 25% = 9%.
So they need to score only 9% on the final.

Answer 4

.75 x 65% + .25 x F% = 51%
.25 x F% = 51% - .75 x 65%
F% = (51% - .75 x 65%) / 0.25
The student needs 9% on the final to pass with a 51% course grade.
0.75 x 65% + 0.25 x 9% = 51%
(The student might want to set his/her sights higher!)

Answer 5

it makes little sense to me, but I can think of a few possibilities:

1) He/She has 65% already, hence has already passed the exam.

2) if he/she has got 65% for 3/4 of the course so far, then he/she is now at 49% for the course. it means she only need to score 9% for the final exam to pass the course.