Question 996739: Four students took an exam. The fraction of the total possible points that each received is given. Monica 22/25, Lily 17/20, Nikki 4/5, Sydney 3/4.
If students receive a whole number of points on every exam item, can the exam be worth a total of 80 points? Explain.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The fraction of the total possible points that each received is given. Monica 22/25, Lily 17/20, Nikki 4/5, Sydney 3/4.
If students receive a whole number of points on every exam item, can the exam be worth a total of 80 points? Explain.
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Let x be the total number of points::
Equation::
[(22/25) + (17/20) + (4/5) + (3/4)]x = 80
Multiply thru by 100 to get:
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Simplify::
[4*22 + 5*17 + 20*4 + 25*3]x = 8000
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328x = 8000
x = 24.39
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That is not a whole number of points.
The exam cannot be worth 80 points
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Cheers,
Stan H.
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