SOLUTION: 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, and Sydney 3/4. If students received a whole

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Question 1127532: 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, and Sydney 3/4. If students received a whole number of points on every exam item, can the exam be worth a total of 80 points. Explain.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The fractions for just Nikki, Lily, and Sydney, will work; but not for Monica.
Here's why not for Monica:

Will this "n" be a whole number?

22%2F25=n%2F80 ?
n=22%2A80%2F25
22%2A20%2A4%2F25
22%2A4%2A4%2F5---------NOT a whole number.

answer: NO.
Examination can not be worth 80 points.