Question

Из бака сначала израсходовали 40% бензина , а потом еще 1/3 часть всего бензина , после чего в баке осталось 16 т бензина . сколько всего бензина было в баке ?

Answer 1

33.6 т бензина всего было в баке.

Answer 2

Calculation of the Total Amount of Gasoline in the Tank

To calculate the total amount of gasoline in the tank, we can follow these steps:

1. Start with the initial amount of gasoline in the tank. 2. Subtract 40% of the initial amount of gasoline from the tank. 3. Subtract 1/3 of the remaining amount of gasoline from the tank. 4. The result should be 16 tons of gasoline.

Let's calculate the total amount of gasoline in the tank step by step:

1. Let's assume the initial amount of gasoline in the tank is x tons.

2. Subtracting 40% of the initial amount of gasoline from the tank: - 40% of x is 0.4x. - The remaining amount of gasoline in the tank after subtracting 40% is x - 0.4x = 0.6x tons.

3. Subtracting 1/3 of the remaining amount of gasoline from the tank: - 1/3 of 0.6x is (1/3) * 0.6x = 0.2x. - The remaining amount of gasoline in the tank after subtracting 1/3 is 0.6x - 0.2x = 0.4x tons.

4. According to the given information, the remaining amount of gasoline in the tank is 16 tons: - Therefore, we have the equation 0.4x = 16.

To find the value of x, we can solve the equation:

0.4x = 16

Dividing both sides of the equation by 0.4:

x = 16 / 0.4

Calculating the value:

x = 40

Therefore, the total amount of gasoline in the tank was 40 tons.

Answer: The total amount of gasoline in the tank was 40 tons.