Answer:
15 two-point questions and 5 four-point questions.
Step-by-step explanation:
Let x represent number of two-points questions and y represent number of four-points questions.
We have been given that Janice wants to create a test containing 20 questions. We can represent this information in an equation as:
Since all questions are worth 50 points. We can represent this information in an equation as:
From equation (1), we will get:
Upon substituting this value in equation (2), we will get:
Therefore, there are 5 questions that are worth 4 points each.
Now, we will substitute in equation (1) to solve for x.
Therefore, there are 15 questions that are worth 2 points each.