BRAIN TEASER HELP! MATH!?

A test consists of 100 questions for a total of 100 points. Each of the true-false questions is worth 0.5 pts. Each of the multiple-choice questions is worth 3 pts. The essay questions are each worth 10 pts. How many questions of each type are on the test? (show any and all work, AND explain the step by step process of how you came up with your solution)