SOLUTION: your teacher is giving youa test worth 100 points containing 40 questions.there are 2-point and 4-point questions on the test. how many of each type of question are on the test?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: your teacher is giving youa test worth 100 points containing 40 questions.there are 2-point and 4-point questions on the test. how many of each type of question are on the test?      Log On


   

Question 684726: your teacher is giving youa test worth 100 points containing 40 questions.there are 2-point and 4-point questions on the test. how many of each type of question are on the test?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
your teacher is giving youa test worth 100 points containing 40 questions.there are 2-point and 4-point questions on the test. how many of each type of question are on the test?
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Equations:
Quantity Eq: t + f = 40
Points Eq:: 2t +4f = 100
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Modify:
t + f = 40
t + 2f = 50
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Subtract and solve for "f":
f = 10 (# of 4-point questions)
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Solve for "t" using t + f = 40
t + 10 = 40
t = 30 (# of 2-point questions)
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Cheers,
Stan H.
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