[ Counting in Two Ways ]

In the fairy country of Perra-Terra, among other inhabitants, Karabases and Barabases live. Each Karabas is acquainted with six Karabases and nine Barabases. Each Barabas is acquainted with ten Karabases and seven Barabases. Who is more numerous in this country - Karabases or Barabases?

#
## Solution

Let's imagine drawing threads between each Karabas and the Barabas they know. Then, from each Karabas, 9 threads will extend, and from each Barabas, 10 threads will extend. This means the number of threads will simultaneously be 9 times the number of Karabas and 10 times the number of Barabas. Therefore, the number of Karabas is $10 / 9$ times the number of Barabas.

## Answer

There are more Karabas.