Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-
response question. There are 15 questions on the test and the students have been given 55 minutes to complete it.
Test Time
Number of Time per Item
Questions (minutes)
m
3
15-m
8
15
Multiple Choice
Free Response
Total
Which value could replace x in the table?
Total Time
(minutes)
3m
х
55
7-m
23-m
8(15 - m)
O 8(15) -

Answer:

         See below :)

Step-by-step explanation:

The solution is, 12 multiple-choice questions are on the test.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

The right answer for the question that is being asked and shown above is that:

m + f = 15 ---> 3m + 3f = 45

3m + 5f = 51

now, we have.

3m + 3f = 45

3m + 5f = 51

-------------------

-2f = -6

f = 3

so, we get,

m + f = 15

m = 15 - 3

m = 12

So the correct answer is 12.

Hence, The solution is, 12 multiple-choice questions are on the test.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ5

Complete question:

Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.

The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.

m + f = 15

3m + 5f = 51

How many multiple-choice questions are on the test?

3

5

12

14

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