Question

During one​ semester, Kara Diano had total expenses of ​$2490. She spent ​$249 of these expenses for clothing. Find the percent of the total expenses spent on clothing. Then find the degrees of a circle this percent represents.
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Part 1
What percent of her expenses was spent on clothing​?
  
enter your response here​%

Answer 1

To find the percent of total expenses spent on clothing, you can use the following formula:

\[
\text{Percent} = \left( \frac{\text{Amount spent on clothing}}{\text{Total expenses}} \right) \times 100
\]

In this case, Kara spent $249 on clothing out of total expenses of $2490. Plugging in the numbers:

\[
\text{Percent} = \left( \frac{249}{2490} \right) \times 100
\]

Calculating this step by step:

1. \(\frac{249}{2490} = 0.1\)
2. \(0.1 \times 100 = 10\)

So, the percent of her expenses spent on clothing is **10%**.

### Part 2: Find the degrees of a circle this percent represents.

A circle is 360 degrees. To find the degrees that correspond to 10%, you can use the formula:

\[
\text{Degrees} = \left( \frac{\text{Percent}}{100} \right) \times 360
\]

Using the percent we found:

\[
\text{Degrees} = \left( \frac{10}{100} \right) \times 360
\]

Calculating this:

1. \(\frac{10}{100} = 0.1\)
2. \(0.1 \times 360 = 36\)

Thus, the degrees of the circle that this percent represents is **36 degrees**.

### Summary:
- Percent spent on clothing: **10%**
- Degrees of the circle: **36 degrees**