Answer:
Short-response question = 20.
Step-by-step explanation:
Let x be number of short response questions and y be the number of essay questions.
We have been given that there are 22 questions that are worth 100 points in total. Each short-response question is worth 4 points, and each essay question is worth 10 points. Using our given information we can form a system of equations as:
[tex]x+y=22...(1)[/tex]
[tex]4x+10y=100...(2)[/tex]
Now we will solve our system of equations using substitution method.
From equation 1 we will get,
[tex]y=22-x[/tex]
Upon substituting [tex]y=22-x[/tex] in equation 2 we will get,
[tex]4x+10(22-x)=100[/tex]
[tex]4x+220-10x=100[/tex]
[tex]4x-10x=100-220[/tex]
[tex]-6x=-120[/tex]
[tex]x=\frac{-120}{-6}[/tex]
[tex]x=20[/tex]
Therefore, there are 20 short-response questions on the exam.
Answer:
D. 20
Step-by-step explanation:
I got it right on prepworks
