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gogolik [260]
3 years ago
12

A math test is worth 100 points. There are a total of 26 questions. There are equation questions that are worth 2 points each an

d 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
Mathematics
1 answer:
mixas84 [53]3 years ago
7 0
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 = 10
Since 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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