SOLUTION: A test consists of multiple choice questions worth 2 points and essay questions worth 8 points. The test has 29 questions that are worth a total of 100 points. Use a model to deter

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Question 637766: A test consists of multiple choice questions worth 2 points and essay questions worth 8 points. The test has 29 questions that are worth a total of 100 points. Use a model to determine how many multiple choice questions are on the test.
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22
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Answer by lwsshak3(11628) About Me  (Show Source):
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A test consists of multiple choice questions worth 2 points and essay questions worth 8 points. The test has 29 questions that are worth a total of 100 points. Use a model to determine how many multiple choice questions are on the test.
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let x=no. of 2-point questions
29-x=no. of 8-point questions
..
2x+8(29-x)=100
2x+232-8x=100
6x=132
x=22
29-x=7
no. of 2-point questions=22
no. of 8-point questions=7