Question

Judith scores 30% in a test and after review, even though her score is
increased by 20%, she fails by 8 marks. In her post review score is increased by
25% she will have 14.5 marks more than the passing score. The percentage
score needed for passing the examination.​

Answer 1

Answer:

Sorry... Don't know ... not good at math

please mark me as brainliest

Answer 2

The answer is 39.2%

GIVEN

Judith scores 30% in a test and after review, even though her score is increased by 20%, she fails by 8 marks. In her post review score is increased by 25% she will have 14.5 marks more than the passing score.

TO FIND

The percentage score needed for passing the examination.

SOLUTION

We can simply solve the above problem as follows;

Let the maximum marks of the test = 100x

Judith's score = 30% of 100x = 30x

Judith's marks after review = 30x + 20% of 30x = 30x + 6x = 36x

With 36x she fails by 8 marks

So,

Passing marks = 36x + 8 (Equation 1)

Judith's score after post review = 36x + 25% of 36x = 36x + 9x =45x

Now,

Passing score = 45x - 14.5 (equation 2)

From equations 1 and 2

36x + 8 = 45x - 14.5

45x - 36x = 8 + 14.5

9x = 22.5

x = 2.5

Maximum marks = 100 × 2.5 = 250

Passing marks = 36x + 8 = 98

Percentage of passing marks =

$\frac{98}{250} \times 100$

= 39.2%

Hence, The answer is 39.2%

#Spj2