The pump has pumped 42m3 of water into the pool, which is 60% of its volume, find the volume of the pool.

From the condition, we know that the pump pumped 42 m3 of water into the pool, which is 60% of its volume. In order to find the volume of the pool, we will compose and solve the proportions.

Let us denote the entire volume of the pool as 100%, and use the variable x to denote its volume.

Let’s write down the proportion.

42 m3 – 60%;

x m3 – 100%.

42 / x = 60/100;

We are looking for the unknown middle term of the proportion. For this, the product of the extreme terms is divided by the known average term of the proportion.

x = (42 * 100) / 60 = 4200/60 = 70 m3 pool volume.

Answer: 70 m3 is the volume of the pool.