Problema Solution

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. How many of each type of question are there

Answer provided by our tutors

Let


x = the number of multiple choice questions

y = the number of open ended questions


x + y = 38 the total number of questions


4*x + 20*y = 200


By solving the system of eqautions


x + y = 38

4*x + 20*y = 200


we find


x = 35

y = 3


There are 35 multiple choice questions and 3 open ended questions.