Question

an entomologist placed an initial population of 60 tenebrio molitor, a type of beetle, into a habitat and monitored the population over time. when the number of tenebrio molitor in the habitat reached 160% of the initial population, the entomologist moved 75% of the tenebrio molitor to a second habitat. how many tenebrio molitor did the entomologist move to the second habitat at this time?

Explanation:

Step1: Calculate the final population in the first habitat

The initial population is 60. The habitat reached 160% of the initial population. So the final population in the first habitat is $60\times1.6 = 96$.

Step2: Calculate the number of beetles moved

75% of the tenebrio molitor in the first - habitat were moved. So the number of beetles moved is $96\times0.75=72$.

Answer:

72