On a 10-question online quiz, you correctly answer four 1-point questions and five 2-point questions. You earn 87.5% of the possible points on the quiz.

Question

a. How many possible points is the quiz worth?
a

b. How many questions did you miss?
a

How many points was each missed question worth?

Answer 1

p = points

a.

4 ∙ 1 + 5 ∙ 2 = 14

14 = 87.5% = 0.875 p

p = 14 / 0.875 = 15

b.

10-question

Correctly answers = 4 ( 1-point questions ) + 5 ( 2-point questions ) =

4 + 5 = 9 Correctly answers

10 - 9 = 1

c.

100% - 87.5% = 12.5% = 12.5 / 100 = 0.125

0.125 ∙ 16 = 2

Answer 2

My typo.

p = 14 / 0.875 is not 15

p = 14 / 0.875 = 16