Three granaries

Three granaries hold 7,800 metric cent (q) of grain. In the first, 70 tonnes of grain was more than the second and in the third it was 120 tonnes less than in the second. How many grain were in each granary?

Correct result:

a =  2686.6667 q
b =  2616.6667 q
c =  2496.6667 q

Solution:

a+b+c=7800
a = 70+b
c = b-120

a+b+c = 7800
a-b = 70
b-c = 120

a = 8060/3 ≈ 2686.666667
b = 7850/3 ≈ 2616.666667
c = 7490/3 ≈ 2496.666667

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