Question #8e191
2 Answers
2 correct multiple choice
9 correct fill-in
Explanation:
Okay, let's start by defining our variables:
The first equation we can write uses the fact that there are 11 correct answers:
Now, we can write another equation uses the number of points. Since multiple choice questions are 10 points each and fill-in questions are 14 points each, we have:
We know what
So there are 2 correct multiple choice answer. It's easy to find the number of correct fill-in answers:
We can check our work:
So, our answer is correct and makes sense. Hope this helps!
correctly.
Explanation:
Suppose that, multiple-choice questions answered correctly are
Total no. of correct answers is
choice, so, the no. of fill-in correctly answered questions is
Thus, total score of points becomes,
But we are given that this score is
Thus,
correctly.