At the gym, 2.75 l of yogurt was purchased and distributed in 1/20 l containers among the clients. How many received yogurt?

To find out how many clients received yogurt, we can divide the total amount of yogurt purchased by the volume of each container.

Let's denote the total amount of yogurt purchased as $$T$$ and the volume of each container as $$V$$ .

Given that $$T = 2.75$$ liters and $$V = \frac{1}{20}$$ liters, we can calculate the number of clients, denoted as $$N$$ , who received yogurt using the equation:

$$N = \frac{T}{V}$$

Substituting the given values, we have:

$$N = \frac{2.75}{\frac{1}{20}}$$

To divide by a fraction, we can multiply by its reciprocal:

$$N = 2.75 \times \frac{20}{1}$$

Simplifying the expression:

$$N = 2.75 \times 20$$

$$N = 55$$

Answer: 55 clients received yogurt.