What sentence represents the number of test questions in the problem below? A test is worth 80 points. Multiple-choice questions are worth 2 points, and short-answer questions are worth 4 points. If the test has 25 questions, how many multiple-choice questions are there?
The first thing we must do for this case is to define variables. We have then: x = Multiple-choice questions y = short-answer questions We write the following system of equations: 2x + 4y = 80 x + y = 25 Solving the system of equations we have: x = 10 y = 15 Answer: there are 10 multiple-choice questions
