Question

In 8-10, a teacher gave a test with 50 questions,each worth the same number of points. Donovan got 39 out pf 50 questions right.Marcci score was 10 percentage points higher than Donovan's. What was Marcis score? Explain. How many more questions did marci answer correctly.

Answer 1

9 questions worth time over 60

Answer 2

Marcis answered 44 questions correctly that was 5 more than Donovan.

Explanation:

Teacher gave a test paper with 50 questions, each worth the same number.

Donovan got 39 points out of 50 points.

Percentage marks that Donovan got =
`\frac{\text{Marks obtained}}{\text{Total marks}}* 100`

=
`(39)/(50)* 100`

= 78%

If Marcis scored 10% more then his percentage of marks will be = 78 + 10 = 88%

Now we will calculate the marks Marcis obtained.

Since 88% means, out of 100 marks Marcis scored 88 but the test paper was of total 50 marks then the marks scored by Marcis will be

=
`(88)/(2)`

= 44

Marcis scored more than Donovan = 44 - 39 = 5