A professor wants to create a test that has 15 true-false questions, 10 multiple choice, and 5 essay. She wants the test to be worth 100 points with each MC question worth 2x as many points as a TF question and each essay question equal to 3x the # of points of a TF. How do I set up the equations?

Question

anonymous · Answer

let one TF question be worth X points.
=> one MC question is worth 2X points and one essay is 3X points.
now you have  15 true-false questions, 10 multiple choice, and 5 essays. and all these total upto 100 points
=> 15 X + 10 (2X) + 5(3X) = 100

Solve it up! :)