A math test is worth 100 points. There are a total of 26 questions. There are equation questions that are worth 2 points each and vocabulary questions are 5 points each. Use a system of equations to solve for the number of equation questions and vocabulary questions on the math test. Show all work for full credit

2 answers
Question:

A math test is worth 100 points. There are a total of 26 questions. There are equation questions that are worth 2 points each and vocabulary questions are 5 points each. Use a system of equations to solve for the number of equation questions and vocabulary questions on the math test. Show all work for full credit

Answers

Let the number of equations be x and the number of vocabulary questions be y.x + y = 26 (total num of questions)So, y = 26 - x (eliminate one variable to solve for one first)2x + 5y = 100 (total points)2x + 5 (26 - x) = 100 (substituting 26 - x in place of y)2x + 130 - 5x = 100 (distributing the 5)-3x = -30x = 10Since there are 10 equation questions, there must be 16 vocabulary questions to satisfy the total number of questions in the test...

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