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A test has twenty questions worth 100 marks in total. There are two types of questions. Multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?

A test has twenty questions worth 100 marks in total. There are two types of questions. Multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have? Correct Answer 15

A test has twenty questions worth 100 marks in total.

There are two types of questions. Multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each.

Let the number of multiple choice questions are x and the number of essay questions are y.

x + y = 20

and 3x + 11y = 100

By solving the above two equations, we get

x = 15, y = 5

So, the number of multiple choice questions = 15

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