The number of multiple-choice questions is 30.
The number of open-response questions is 6.
<h3>What is an equation?</h3>
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 9 is an equation.
We have,
Number of multiple choice questions = M
Number of open response questions = N
We can make two equations.
M + N = 36 _______(1)
3M + 5N = 120 ______(2)
From (1) we get,
M = 36 - N ______(3)
Putting (3) in (2) we get,
3(36 - N) + 5N = 120
108 - 3N + 5N = 120
2N = 120 - 108
2N = 12
N = 6
Now,
Putting N = 6 in (3) we get,
M = 36 - 6
M = 30
Thus,
The number of multiple-choice questions and open-response questions is 30 and 6.
Learn more about equations here:
brainly.com/question/17194269
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