# Three granaries

Three granaries hold 7,800 metric cents (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 grains were in each granary?

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

### Step-by-step explanation:

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

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

Row 2 - Row 1 → Row 2
a+b+c = 7800
-2b-c = -7730
b-c = 120

Row 3 - 1/-2 · Row 2 → Row 3
a+b+c = 7800
-2b-c = -7730
-1.5c = -3745

c = -3745/-1.5 = 2496.66666667
b = -7730+c/-2 = -7730+2496.66666667/-2 = 2616.66666667
a = 7800-b-c = 7800-2616.66666667-2496.66666667 = 2686.66666667

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

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