The volume of the first container is 30 liters more than the volume of the second container.

| August 3, 2021 | education

The volume of the first container is 30 liters more than the volume of the second container. 2/5 of the volume of the first container is equal to 1/2 of the volume of the second container. Find the volume of the containers.

Suppose the volume of the second container is x liters.

Since the volume of the first is 30 liters larger, it is: x + 30 liters.

We draw up an equality in which 2/5 of the volume of the first container is equal to 1/2 of the volume of the second container.

Will be:

2/5 * (x + 30) = 1/2 * x.

2/5 * x + 12 = 1/2 * x.

12 = 1/2 * x – 2/5 * x.

12 = 1/10 * x.

x = 12 / 1/10 = 12 * 10 = 120 liters (in the first container).

x + 30 = 120 + 30 = 150 liters in the second container.

We check:

1/2 * 120 = 120/2 = 60 liters.

2/5 * 150 = 300/5 = 60 liters.

Answer:

150 and 120 liters.



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