The ratio of male fishes to female fishes is 3 : 2
<u>Solution:</u>
Given, male punky fish = 9 stripes
Female punky fish = 8 stripes.
Total stripes = 86
<em><u>Finding the ratio of male fish to female fish:</u></em>
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
![\text { 9 stripes per male } \times \text { number of male fishes }+8 \text { stripes for female } \times \text { number of female fishes }=86](https://tex.z-dn.net/?f=%5Ctext%20%7B%209%20stripes%20per%20male%20%7D%20%5Ctimes%20%5Ctext%20%7B%20number%20of%20male%20fishes%20%7D%2B8%20%5Ctext%20%7B%20stripes%20for%20female%20%7D%20%5Ctimes%20%5Ctext%20%7B%20number%20of%20female%20fishes%20%7D%3D86)
![\begin{array}{l}{\rightarrow 9 \times m+8 \times n=86} \\\\ {\rightarrow 9 m+8 n=86}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Crightarrow%209%20%5Ctimes%20m%2B8%20%5Ctimes%20n%3D86%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%209%20m%2B8%20n%3D86%7D%5Cend%7Barray%7D)
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