A test has twenty questions worth 100 points total. the test consists of true/false questions worth

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

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

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

We can solve this system of equations 3 ways below:

• Substitution Method
• Elimination Method
• Cramer's Rule

No matter which method we choose, we get the following answers:

• m = 5
• t = 15

Check our work in equation 1:
5 + 15 ? 20
20 = 20

Check our work in equation 2:
11(5) + 3(15) ? 100
55 + 45 ? 100
100 = 100