On a 15-question online quiz, you correctly answer five 1-point questions and nine 2-point questions. You earn 92% of the possible points on the quiz.

a. How many possible points is the quiz worth?

b. How many questions did you miss?

c. How many points was each missed question worth?

1 answer

(a) If there are x points in total, then
5*1 + 9*2 = 0.92x

(b) you answered 9+5 = 14 correctly, so ...
(c) easy