We appreciate your visit to Jose completes his math test The test contains 25 questions worth 120 points The questions are of multiple choice MCQ and true or false types. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
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
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Rewritten by : Barada
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!
