8 ducklings and 7 mice and 20 hamsters were rescued
Solution:
Given that Two groups of Pokemon go players rescued a total of 35 animals
Therefore,
total animals rescued = 35
Of those [tex]\frac{4}{7}[/tex] were hamsters [tex]\frac{1}{5}[/tex] were mice and the rest were ducklings
Therefore we can say,
number of hamsters = [tex]\frac{4}{7}[/tex] of total animals
number of hamsters = [tex]\frac{4}{7} \times 35 = 4 \times 5 = 20[/tex]
number of mice = [tex]\frac{1}{5}[/tex] of total animals
Number of mice = [tex]\frac{1}{5} \times 35 = 7[/tex]
The rest were ducklings
Number of ducklings = total animals rescued - (number of hamsters + number of mice)
Number of ducklings = 35 - (20 + 7) = 35 - 27 = 8
Thus 8 ducklings and 7 mice and 20 hamsters were rescued
