Chapter 1, Problem 10SAP

To determine

To find: the correct number of guppies in the aquarium.

Answer to Problem 10SAP

12

Explanation of Solution

Given information:

Total number of fish in aquarium = 24

Tetra in the aquarium = $\left(\frac{1}{4}\right)\text{ total fish}$

Guppies in the aquarium = $\left(\frac{2}{3}\right)\text{ of remaining fish}$

Calculation:

Let the total fishes be x.

According to the question,

  $\begin{array}{c}\text{Number of tertra}=\frac{1}{4}x\\ =\frac{1}{4}\left(24\right)\left[\text{Put }x=24\right]\\ =6\end{array}$

The number of tetra fish is 6.

  $\begin{array}{c}\text{Remaining fishes}=\text{Total fish}-\text{ Number of tetra}\\ =x-6\\ =24-6\\ =18\end{array}$

Now, the number of guppies in the aquarium can be evaluated as follows:

  $\begin{array}{c}\text{Guppies in the aquarium =}\left(\frac{2}{3}\right)\text{ of remaining fish}\\ \text{=}\frac{2}{3}\left(18\right)\\ =\frac{36}{3}\\ =12\end{array}$

Thus, the number of guppies in the aquarium is 12.