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

After setting up and solving an equation based on the number of stripes per fish, we find that the ratio of male to female punky fish is 7:5.

Step-by-step explanation:

To find the ratio of male fish to female fish based on the number of stripes, we need to set up a system of equations using the information provided: A male punky fish has 9 stripes and a female punky fish has 8 stripes. If there are 86 stripes total we can use the following expressions:

• Let m = number of male fish
• Let f = number of female fish

The total number of stripes from male fish is 9m and from female fish is 8f. Summed together, they equal the total number of stripes observed:

9m + 8f = 86

Now, we need to find values of m and f that satisfy this equation. Since the number of stripes is a whole number, m and f must also be whole numbers. One way to solve this is to express one variable in terms of the other and look for whole-number solutions:

m = (86 - 8f) / 9

By trying different values of f (the number of female fish), we find that the only whole number solution for both m and f where f is lesser than or equal to 10 (since the average number of fish is 10) is when f = 5 and m = 7. Thus, there are 7 male fish and 5 female fish in the tank.

To find the ratio of male fish to female fish, we place the number of male fish over the number of female fish:

Ratio of male to female fish = 7 : 5

Answer 2

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 } * \text { number of male fishes }+8 \text { stripes for female } * \text { number of female fishes }=86`

`\begin{array}{l}{\rightarrow 9 * m+8 * 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