A math test with 26 questions is worth 100 points. There are multiple choice questions that are worth 2 points each and fill in the blank questions that are worth 5 points each. How many of each type of question is there?
Let's say there are x multiple choice questions.
So the number of fill in the blank questions is 26 - x.
The value of the multiple choice questions is 2x.
The value of the fill in the blank questions is 5(26 - x).
The total points is 2x + 5(26 - x) = 100.
2x + 130 - 5x = 100.
-3x = -30.
x = 10.
So the number of multiple choice questions is 10 and the number of fill in the blank questions is 26 - 10 = <<26-10=16>>16. Answer: \boxed{10, 16}.