Answer:
40 - 2 point questions and 4 - 5 point questions
Step-by-step explanation:
To solve this situation, write two equations. One for the number of questions and one for the number of points.
Let x be the number of 2 point questions.
Let y be the number of 5 point questions.
x + y = 44
Now since x are each worth 2 points, the total points is 2x.
And since y are each worth 5 points, the total points is 5y.
So 2x + 5y = 100. Substitute one of the equations into the other to solve for the variables.
x + y = 44 becomes x = 44 - y. Substitute it.
2(44-y) + 5y = 100
88 - 2y + 5y = 100
88 + 3y = 100
3y = 12
y = 4
Substitute y = 4 back into the equation x = 44 - y to find x.
x = 44 - 4
x = 40
