Answer:
15 multiple choice questions
5 free response questions
Step-by-step explanation:
This is basically a systems of equations word problem.
To solve this, we need to create two equations that represent this scenario. Let's suppose represents the amount of multiple choice questions and represents the amount of free-choice questions.
We can create the following equations:
To solve for m and f, we can use elimination.
Let's multiply the equation by -4.
Great! Now let's add this equation to our first one, .
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Dividing both sides by 4 get us .
So there are 5 free choice questions. To find m, we can substitute inside the equation
So there are 15 multiple choice questions.
Hope this helped!