Raskina I.V.

In a colorful family, there were an equal number of white, blue, and striped octopus children. When some blue octopus children turned striped, Dad decided to count the children. There were 10 blue and white children in total, while white and striped children together amounted to 18. How many children are there in the colorful family?
First solution. Note that the white octopuses were one third of the total number, and they did not change color. If we add 10 and 18, we get the total number of all children together, plus the number of white ones, which is 4/3 of the total number of all children. Thus, 4/3 of the number of children in the family is 28, which means there are 21 children in total.

Second solution. After recoloring, the number of striped octopuses was 18 - 10 = 8 more than the blue ones. This means that 8 / 2 = 4 blue octopuses became striped. There were 18 - 4 = 14 white and "old striped" octopuses, which means 14 / 2 = 7 of each color. Therefore, in the colorful family, there are 3 * 7 = 21 children.

## Answer

21.

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