Question

What sentence represents the number of points in the problem below?

A test is worth 50 points. Multiple-choice questions are worth 1 point, and
short-answer questions are worth 3 points. If the test has 20 questions, how
many multiple-choice questions are there?
A. The number of multiple-choice question points plus the number of
short-answer question points is 20.
B. The number of multiple-choice question points minus the number
of short-answer question points is 20.
C. The number of multiple-choice question points times the number
of short-answer question points is 50.
D. The number of multiple-choice question points plus the number of
short-answer question points is 50.

Answer 1

To find the number of multiple-choice questions, we set up an equation using the total number of points and solve for x. After solving the equation, we find that there are 10 multiple-choice questions in the test.

Step-by-step explanation:

The problem states that a test is worth 50 points. Multiple-choice questions are worth 1 point each and short-answer questions are worth 3 points each. We need to find the number of multiple-choice questions. Let's suppose there are x multiple-choice questions. The total number of points for multiple-choice questions would be 1x and the total number of points for short-answer questions would be 3(20 - x) since there are 20 questions in total and x of them are multiple-choice questions.

According to the problem, the total number of points for both types of questions is 50. So, we can set up the equation 1x + 3(20 - x) = 50 and solve for x.

By simplifying the equation, we get x + 60 - 3x = 50. Solving this equation, we find that x = 10. Therefore, there are 10 multiple-choice questions in the test.

Learn more about Solving equations for unknown variables