A 100 point test contains a total of 20 questions. The multiple choice questions are worth 3 points

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A 100 point test contains a total of 20 questions. The multiple choice questions are worth 3 points each and short response questions are worth 8 points each. Write a system of linear equations that represents this situation

Assumptions:

• Let m be the number of multiple choice questions
• Let s be the number of short response questions

Since total points = points per problem * number of problems, we're given 2 equations:

1. m + s = 20
2. 3m + 8s = 100

We can solve this system of equations 3 ways:

• Substitution Method
• Elimination Method
• Cramer's Rule

No matter which method we choose, we get:
m = 12, s = 8