Question

Ms. Gwinn decides to give a test worth 70 points that contains 20 questions. The multiple choice questions, c, will be worth 2 points each and the short answer questions, s, will be worth 5 points. Which of the systems of equations below could be used to find the number of multiple choice and short answer questions?

Answer 1

Step-by-step explanation:

Answer 2

To find the number of multiple choice and short answer questions, you can use the system of equations 2c + 5s = 70 and c + s = 20.

Step-by-step explanation:

To find the number of multiple choice questions, let's define the number of multiple choice questions as c.

Each multiple choice question is worth 2 points, so the total score from the multiple choice questions would be 2c.

To find the number of short answer questions, let's define the number of short answer questions as s.

Each short answer question is worth 5 points, so the total score from the short answer questions would be 5s.

The total score for the test is 70 points, so we can set up the equation 2c + 5s = 70 to represent the total score.

We also know that there are 20 questions in total, so we can set up the equation c + s = 20 to represent the total number of questions.

Therefore, the system of equations that could be used to find the number of multiple choice and short answer questions is:

2c + 5s = 70

c + s = 20

c = 10

s = 10