Question

Две третьих вместимости одного бака равны трём четвёртым вместимости другого и равны 54 л. Выполни разностное сравнение вместимостей этих баков. Помогите пожалуйста

Answer 1

54:3/4=72(л) - вместимость другого бака

54:2/3=81(л)- вместимость первого бака 

81-72=9(л) - на столько вместимость первого бака больше второго

Answer 2

Solution for Tank Capacities

To solve the problem, we can set up the following equation based on the given information:

Let's assume the capacities of the two tanks are represented by variables x and y. According to the given information, two-thirds of the capacity of one tank is equal to three-fourths of the capacity of the other tank, and the total capacity of both tanks is 54 liters.

So, we can express this information as the following equation: 2/3 * x = 3/4 * y x + y = 54

To solve for the capacities of the two tanks, we can use the given equations to find the values of x and y.

Calculating Tank Capacities

Using the given equations, we can solve for the capacities of the two tanks:

From the equation 2/3 * x = 3/4 * y, we can solve for x in terms of y: x = (3/4 * y) * (3/2) = 9/8 * y

Substitute the value of x in the equation x + y = 54: 9/8 * y + y = 54 17/8 * y = 54 y = 54 * 8 / 17 y = 432 / 17 y = 25.41 (approx)

Now, we can find the value of x: x = 9/8 * 25.41 x = 284.67 / 8 x = 35.58 (approx)

Conclusion

The capacities of the two tanks are approximately: Tank 1: 35.58 liters Tank 2: 25.41 liters

This calculation is based on the given information and the resulting equations.