Question

Use the followingA test has 28 questions that total 100 points. The test contains multiple choice questions that areworth 3 points each and short answer questions that are worth 5 points each15. Write a system of finear equations to represent the situation16. Write a matrix equation that corresponds to the system in question 15.17. Solve the system using matrices to determine how many multiple choice and short answerquestions are on the test

Answer 1

Answer:

The equations are:

x + y = 28 ...............................................(1)

3x + 5y = 100 .........................................(2)

Explanation:

Parameters:

Total questions = 28

Total points = 100

Mulitple choice questions = 3 points each

Short answer quesitons = 5 points

Let x represent the number of multiple choice question, and y be the number of short answer

x + y = 28 ...............................................(1)

3x + 5y = 100 .........................................(2)

In a matrix form, this is:

$\begin{bmatrix}{1} & {1} \\ {3} & {5}\end{bmatrix}\begin{bmatrix}{x} \\ {y}\end{bmatrix}=\begin{bmatrix}{28} \\ {100}\end{bmatrix}$

Solving the above, we have:

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