SOLUTION: In a class of fewer than 30 students, two received a "B" on a math test, 1/7 of the class received a "C", 1/2 received a "D", and 1/4 of the class failed the exam. how many student

Question 316167: In a class of fewer than 30 students, two received a "B" on a math test, 1/7 of the class received a "C", 1/2 received a "D", and 1/4 of the class failed the exam. how many students received an "A"
Answer by moshiz08(60) (Show Source): You can put this solution on YOUR website!
First, we know that there must be 28 students in the class. This is because we know a grade received by 1/7 of the class, so the number of students must be divisible by 7. We also know the grade received by 1/4 and 1/2 of the class, so the number must be divisible by 4 and by 2. 28 is the only number less than 30 divisible by both 4 and 7. Feel free to check this.
2 people got Bs.
1/7, that is 4 people, got Cs.
1/2, that is 14 people, got Ds.
1/4, that is 7 people, got Fs.
We know what grade was received by (2+4+14+7) = 27 people. This means that there is one person left to get the A.
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