MATH SOLVE

3 months ago

Q:
# In a study of the population density of bullfrogs, 25 are captured and marked in the first sampling. Five days later, 30 frogs are captured, 10 of which have marks. Based on these results, the estimated number of bullfrogs in this population would be ___

Accepted Solution

A:

Answer:75Step-by-step explanation:Let x represent the number of bullfrogs in the population.We have been given that in a study of the population density of bullfrogs, 25 are captured and marked in the first sampling. Five days later, 30 frogs are captured, 10 of which have marks.We will use proportion to solve our given problem as:[tex]\frac{\text{Number of total bullfrogs}}{\text{Number of marked bullfrogs}}=\frac{30}{10}[/tex][tex]\frac{x}{25}=\frac{30}{10}[/tex][tex]\frac{x}{25}\cdot 25=\frac{30}{10}\cdot 25[/tex][tex]x=3\cdot 25[/tex][tex]x=75[/tex]Therefore, the estimated number of bullfrogs in the population would be 75.