SOLUTION: An exam worth 145 points contains 50 questions. Some of the questions are worth two points and some are worth five points. How many two point questions are on the test? How many fi
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Question 1021360: An exam worth 145 points contains 50 questions. Some of the questions are worth two points and some are worth five points. How many two point questions are on the test? How many five point questions are on the test?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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T=number of 2 point questions; F=number of 5 point questions
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T+F=50
F=50-T
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2T+5F=145
2T+5(50-T)=145
2T+250-5T=145
-3T=-105
T=35
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There are 35 two point questions on the test.
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F=50-T=50-35=15
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ANSWER: There are 15 five point questions on the test.
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CHECK:
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2T+5F=145
2(35)+5(15)=145
70+75=145
145=145
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