Two ranchers sold a herd of cattle and received as many dollars for each animal as there

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Two ranchers sold a herd of cattle and received as many dollars for each animal as there were cattle in the herd. With the money, they bought a flock of sheep at \(\$ 10\) a head and then a lamb with the rest of the money (less than \$10). Finally, they divided the animals between them, with one rancher obtaining an extra sheep and the other the lamb. The rancher who got the lamb was given his friend's new watch as compensation. What is the value of the watch?

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