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 two minutes to complete each multiple-choice questions and an average of 3.5 minutes to complete each short answer questions, n,quality to determine how many questions and the teacher can include if the test must take students less than 45 minutes to complete

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 $x$.

Average Time taken to attempt multiple choice question = 2 minutes

Total time taken to attempt multiple choice question = 2$\times x$ minutes

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

Total Time taken to attempt short answer type question = 3.5$\times x$

Total time for test should be less than 45 minutes.

Therefore, the equation becomes:

$2x+3.5x<45\\\Rightarrow 5.5x <45\\\Rightarrow x<8.18$

Hence, the value of $\bold{x=8}$

Therefore, the answer is:

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

A total of 16 questions.

Answer 2

Answer:

Step-by-step explanation:

2n+3.5n <45