Question

A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estimates it will take students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question.
Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.



45

Answer 1

Answer:

8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.

A total of 16 questions.

Step-by-step explanation:

Given:

The number of multiple choice questions and number of short answer type questions are same.

Let it be equal to .

Average Time taken to attempt multiple choice question = 2 minutes

Total time taken to attempt multiple choice question = 2 minutes

Average Time taken to attempt short answer type question = 3.5 minutes

Total Time taken to attempt short answer type question = 3.5

Total time for test should be less than 45 minutes.

Therefore, the equation becomes:

Hence, the value of

Therefore, the answer is:

8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.

A total of 16 questions.