The ratio of male fishes to female fishes is 3 : 2
Solution:
Given, male punky fish = 9 stripes
Female punky fish = 8 stripes.
Total stripes = 86
Finding the ratio of male fish to female fish:
Let the number of male fishes be "m", and the number of female fishes be "n"
The, given that, total strips = 86
which means, total male strips + total female stripes = 86
[tex]\text { 9 stripes per male } \times \text { number of male fishes }+8 \text { stripes for female } \times \text { number of female fishes }=86[/tex]
[tex]\begin{array}{l}{\rightarrow 9 \times m+8 \times n=86} \\\\ {\rightarrow 9 m+8 n=86}\end{array}[/tex]
The only values that can satisfy above equation are m = 6 and n = 4
Now, ratio of male fishes to female fishes = m : n = 6 : 4 = 3 : 2
Hence, the ratio of male fishes to female fishes is found out as 3 : 2
