There were 120 tons of oil in two tanks. When 35 tons 600 kg of oil was taken from one tank and 46 tons 400 kg

There were 120 tons of oil in two tanks. When 35 tons 600 kg of oil was taken from one tank and 46 tons 400 kg of oil from the other, there was equal amount of oil in both tanks. How much oil was in each of the tanks initially?

1. For convenience of calculations, let us take the amount of oil remaining in each of the tanks as b.

2. Let’s express tons in kilograms:

120 t = 120,000 kg.

35 t 600 kg = 35600 kg.

46 t 400 kg = 46400 kg.

3. Now we can write the equation:

b + b + 35600 + 46400 = 120,000.

2b + 82000 = 120,000.

2b = 120,000 – 82,000.

2b = 38000.

b = 19000.

4. Let’s find the initial amount of fuel in the first barrel:

19000 + 35600 = 54600.

54600 kg = 54 t 600 kg.

5. Find the initial amount of fuel in the second barrel:

19000 + 46400 = 65400.

65400 kg = 65 t 400 kg.

Answer: 54 tons 600 kg; 65 t 400 kg.