The ratio of the fuel oil to be distributed is 3:1:2. To determine the amount of fuel to be loaded into tank A, we need to determine the fraction of the total amount each tank represents.
The sum of the parts of the ratio is 3+1+2 = 6.
To determine the fraction that tank A represents, we divide the number of parts tank A represents (3) by the total number of parts in the ratio (6):
Fraction of fuel in tank A = 3/6 = 1/2
To determine the amount of fuel loaded into tank A, we multiply the fraction of fuel in tank A by the total amount of fuel to be loaded (60 metric tons):
Amount of fuel in tank A = (1/2) * 60 = 30 metric tons
Therefore, the contents of tank A will be 30 metric tons.