Question

Mrs.Wilson tells you that the next test is worth 100 points and contains 38 problems. Multiple-choice questions are worth 2 points each and word problems are worth 5 points. How many of each type of question is there?

Answer 1

Answer: The test had 30 multiple choice questions, and 8 word problems.

Explanation:

f we multiply the first equation by − 2 we get

Now if we add both equations we get only equation with 1 unknown (y)

Substituting the calculated value to the first equation we get

The solution means that The test had 30 multiple choice questions, and 8 word problems.