Question

A male punky fish has 9 stripes and a female punky fish has 8 stripes.I count 86 stripes on the fish in my tank.What is the ratio ofthe ratio of male fish to female fish?​

Answer 1

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

$\text { 9 stripes per male } \times \text { number of male fishes }+8 \text { stripes for female } \times \text { number of female fishes }=86$

$\begin{array}{l}{\rightarrow 9 \times m+8 \times n=86} \\\\ {\rightarrow 9 m+8 n=86}\end{array}$

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