Answer:
15 true/false questions and 5 multiple choice questions
Step-by-step explanation:
Total question is 20
x T/F questions
and
y Multiple choice
So, we can write:
x + y = 20
Also, T/F are worth 4 each and Multiple Choice are worth 8 each, for a total of 100 points, so we can write:
4x + 8y = 100
Solving first equation for x:
x = 20 - y
Substituting this into equation 2 and solving for y:
4x + 8y = 100
4(20 - y) + 8y = 100
80 - 4y + 8y = 100
4y = 20
y = 20/4
y = 5
And now solving for x:
x = 20 - y
x = 20 - 5
x = 15
There are 15 true/false questions and 5 multiple choice questions
