The problem describes an aquarium where the ratio of sea lions to turtles is $2:5$ and the ratio of turtles to pufferfish is $3:8$. We are given that there are 6 sea lions in the aquarium and asked to find the number of pufferfish.

1. Problem Description

The problem describes an aquarium where the ratio of sea lions to turtles is $2:5$ and the ratio of turtles to pufferfish is $3:8$. We are given that there are 6 sea lions in the aquarium and asked to find the number of pufferfish.

2. Solution Steps

First, we determine the number of turtles. Let $s$, $t$, and $p$ represent the number of sea lions, turtles, and pufferfish, respectively.

We are given that the ratio of sea lions to turtles is $2:5$, so we have $\frac{s}{t} = \frac{2}{5}$. We are given that $s=6$, so we can write

$\frac{6}{t} = \frac{2}{5}$.

Multiplying both sides by $5t$, we get $30 = 2t$, so $t = \frac{30}{2} = 15$.

Thus, there are 15 turtles.

Next, we determine the number of pufferfish. The ratio of turtles to pufferfish is $3:8$, so we have $\frac{t}{p} = \frac{3}{8}$. We found that $t=15$, so we can write

$\frac{15}{p} = \frac{3}{8}$.

Multiplying both sides by $8p$, we get $120 = 3p$, so $p = \frac{120}{3} = 40$.

Thus, there are 40 pufferfish.

3. Final Answer

There are 40 pufferfish.