A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 poin

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A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

Let the number of true/false questions be t. Let the number of multiple choice questions be m. We're given two equations:

1. m + t = 20
2. 11m + 3t = 100

We have a set of simultaneous equations. We can solve this using 3 methods:

1. Substitution Method
2. Elimination Method
3. Cramer's Rule

No matter which method we pick, we get the same answer:

• m = 5
• t = 15