Question 17. There are 20 questions in a quiz. Each participant scores 7 points for each correct answer, loses 4 points for each incorrect answer, and scores 0 points for each question left blank. Eric took the quiz and scored 100 points. How many questions did he leave blank? So first, we know that there are 20 questions, and each correct answer is worth 7 points. So there is a total of possible points, 140. Now, I'm going to label each of these as correct C, incorrect I, and blank B. Now, if we get a question incorrect, we'll subtract 11 from the total of 140, because not only do we lose out on the 7 points we would have gotten from being correct, but we also get a 4 point penalty. If we leave it blank, it's a minus 7, because we miss out on the 7 points that would have been correct, but we don't lose anything additional for it being blank. If it's correct, it'll be a minus 0 from the total of 140. Now, we know that since he scored 100 points, then there were 40 points that we missed out on. Since we know that incorrect points will subtract 11, and blank points will subtract 7, we make this formula. 11I plus 7B will equal 40. The biggest number we can put into I will be 3, which will give us 33 plus 7B equals 40. Subtracting from both sides, we get the formula of 7B equals 7. This, we know that B is equal to 1. So our answer is B, 1.

quiz scoring

correct answers

incorrect answers

blank answers

point deficit