Answer :
The correct option is: A. MCQ=15; T/F=10
Let's break it down step by step:
* Total points: 120 points
* Total questions: 25 questions
* MCQ questions worth 4 points each
* True or False questions worth 6 points each
Since the total points is 120, we can set up an equation to represent the situation:
4x (MCQ points) + 6y (True or False points) = 120
Where x is the number of MCQ questions and y is the number of True or False questions.
We know that the total number of questions is 25, so we can set up another equation:
x + y = 25
Now we have a system of equations:
4x + 6y = 120
x + y = 25
To solve for x and y, we can use substitution or elimination. Let's use substitution.
Rearrange the second equation to isolate y:
y = 25 - x
Now substitute this expression for y into the first equation:
4x + 6(25 - x) = 120
Expand and simplify:
4x + 150 - 6x = 120
-2x = -30
x = 15
Now that we have found x, substitute it back into one of the original equations to find y:
y = 25 - x
y = 25 - 15
y = 10
Answer: A. MCQ=15; T/F=10
Step-by-step explanation:
Given that MCQ questions are worth 4 points each, T/F questions are worth 6 points each, and that the total score is 120 points, we can use the values to create an equation.
4x + 6y = 120
x = MCQ questions
y = T/F questions
Also given that there are 25 questions in total, we can write that as an equation too.
x + y = 25
To find the values of x and y, we can use the substitution method by first rewriting x + y = 25 in terms of x, then substituting the equation into 4x + 6y =120.
x + y = 25
x = 25 – y
Substitute into first equation and simplify:
4(25 – y) + 6y = 120
100 – 4y + 6y = 120
100 + 2y = 120
2y = 20
y = 10
Since now we know the value of y, we can substitute 10 into one of the equations to get the value of x.
x + 10 = 25
x = 15
Therefore, x = 15 and y = 10, so there are 15 MCQ questions and 10 T/F questions. (A. MCQ=15; T/F=10)
Hope this helps!
