Math grade distribution

From the quarterly work in mathematics in the eighth grades, 1/3 of all pupils got a one, 2/7 of all pupils got a two, 5/8 of the rest got a three, 8 pupils got a four, and 4 got a five. How many students wrote a paper? How many got a one, a two, and how many a three?

Final Answer:

n =  84
a =  28
b =  24
c =  20

Step-by-step explanation:


n/3 + 2/7·n + 5/8 ·(n-n/3-2/7·n)+8+4 = n

24n = 2016


n = 2016/24 = 84

n = 84

Our simple equation calculator calculates it.
a=n/3=84/3=28
b=2/7 n=2/7 84=24
c=85 (nab)=85 (842824)=20



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