A test has forty questions worth a total of 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 2 points each. How many multiple choice questions are on the test?

Answer 1

Let x be the number of multiple choice questions.
There are 40 - x true/false questions.
The multiple-choice questions are worth 2 * x = 2x points.
The true/false questions are worth 3 * (40 - x) = 120 - 3x points.
The total number of points on the test is 2x + 120 - 3x = 100.
Combining like terms, we get -x + 120 = 100.
Subtracting 120 from both sides, we get -x = -20.
Dividing both sides by -1, we get x = 20.
There are 20 multiple choice questions on the test. Answer: \boxed{20}.