Warehouses

In the three warehouses, the company stored a total of 70 tons of grain. The second warehouse was stored 8.5t less and in the third, 3.5 tons more than in the first. How many tons of grain were stored in each warehouse?

Correct answer:

a =  25 t
b =  16.5 t
c =  28.5 t

Step-by-step explanation:


a+b+c=70
b = a - 8.5
c = a + 3.5

a+b+c = 70
a-b = 8.5
a-c = -3.5

Row 2 - Row 1 → Row 2
a+b+c = 70
-2b-c = -61.5
a-c = -3.5

Row 3 - Row 1 → Row 3
a+b+c = 70
-2b-c = -61.5
-b-2c = -73.5

Row 3 - -1/-2 · Row 2 → Row 3
a+b+c = 70
-2b-c = -61.5
-1.5c = -42.75


c = -42.75/-1.5 = 28.5
b = -61.5+c/-2 = -61.5+28.5/-2 = 16.5
a = 70-b-c = 70-16.5-28.5 = 25

a = 25
b = 33/2 = 16.5
c = 57/2 = 28.5

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