Elimination Method: Your math test has 38 questions and is worth 200 points. The test consists of multiple choice questions worth 4 points each and open-ended questions worth 20 points each.

Question

How many of each type of question are there?

Answer 1

Let X = number of multiple choice questions, Y = number of open-ended questions.

38 questions ==> X + Y = 38

200 points ==> 4X + 20Y = 200

Multiply the first equation by (-4) and add it to the 2nd equation to eliminate X.

Then solve for Y.