Question

At the Top Hat Dance Studio, classes cost $20 for 5/6 of an hour. What is the hourly rate?

Answer 1

To find the hourly rate based on the cost of the classes, we can start with the given information:

1. The cost of the class is $20 for 5/6 of an hour.

First, we need to find the rate per hour. Since 5/6 of an hour is less than an hour, we can set up the following calculation to find the cost per hour.

Let \( x \) be the hourly rate.

The relationship can be described as follows:

\[
\frac{5}{6} \text{ hours} \times x = 20
\]

To solve for \( x \), we rearrange the equation:

\[
x = \frac{20}{\frac{5}{6}}
\]

Dividing by a fraction is the same as multiplying by its reciprocal:

\[
x = 20 \times \frac{6}{5}
\]

Carrying out the multiplication:

\[
x = 20 \times 1.2 = 24
\]

Thus, the hourly rate is \( \boxed{24} \) dollars per hour.