1. Each of the three equal containers can hold 600 liters of liquid and each is filled exactly to half. From the first container to the second, we pour $18 \%$ of the liquid. Then from the second container to the third, we pour $2 / 3$ of the liquid. After that, from the third container to the first, we pour $3 / 8$ of the liquid and an additional 5 liters of liquid. How many liters of liquid need to be poured from the container with the most liquid to the container with the least liquid so that the amount of liquid in these containers is equal?
1. In each of three equal containers, 600 liters of liquid can fit, and each is filled exactly to half. From the first container to the second, we pour $18 \%$ of the liquid. Then from the second container to the third, we pour $2 / 3$ of the liquid. After that, from the third container to the first, we pour $3 / 8$ of the liquid and an additional 5 liters of liquid. How many liters of liquid need to be poured from the container with the most to the container with the least liquid so that the amount of liquid in these containers is equal?

## Solution.

$\frac{1}{2}$ of 600 is 300.

So, each container has 300 liters of liquid.

1 POINT

$18 \%$ can be written as a fraction $18 \%=\frac{18}{100}$.

$\frac{18}{100}$ of 300 is 54.

1 POINT

We pour 54 liters of liquid from the first to the second container, so the first container has

$300-54=246$ liters of liquid, and the second has $300+54=354$ liters of liquid.

1 POINT

$\frac{2}{3}$ of 354 is 236.

1 POINT

We pour 236 liters of liquid from the second to the third container, so the second container has

$354-236=118$ liters of liquid, and the third has $300+236=536$ liters of liquid.

1 POINT

$\frac{3}{8}$ of 536 is 201.

1 POINT

Since we also pour an additional 5 liters of liquid, the total amount we pour from the third to the first container is

$201+5=206$ liters of liquid.

1 POINT

So, the third container has $536-206=330$ liters of liquid, and the first has

$246+206=452$ liters of liquid.

1 POINT

After all the pouring, the first container has the most liquid (452 L), and the second has the least (118 L).

1 POINT

To have an equal amount of liquid in the first and second containers, we need to pour $(452-118): 2=334: 2=167$ liters of liquid from the first to the second container.