Question
Prompt
A researcher investigated two species of mites: a predator and its prey. At the start of a week, there was an equal number of the two species. At the end of the week, the number of prey had increased by of the number of prey at the start of the week, and the number of predators had increased by of the number of predators at the start of the week. The number of predators at the end of the week was less than the number of prey at the end of the week. What is the value of ?