in a flash drive fifteen percent are document files, 40 percent are video filed, 20 percent are photo files and the remaining four gigabytes are unused. what is the capacity of the flash drive?

a. 10
b. 16
c. 24
d. 32

To find the capacity of the flash drive, we can start by setting up an equation based on the given percentages and the information that 4 GB are unused.

Let's denote the total capacity of the flash drive as \( C \) gigabytes.

The percentages of the flash drive used for different types of files add up to 85% (15% documents + 40% videos + 20% photos).

The remaining 15% of the flash drive is unused, and we know this is 4 GB. Therefore, we can write:

\[ 0.15C = 4 \]

To find the total capacity \( C \), solve for \( C \):

\[ C = \frac{4}{0.15} \]

\[ C = \frac{4}{0.15} = \frac{4}{\frac{15}{100}} = \frac{4 \times 100}{15} = \frac{400}{15} \approx 26.67 \]

None of the provided answer choices match 26.67 exactly, but we can see that 24 GB is the closest to our calculation and could be a rounding approximation or due to assumptions in the problem setup. Therefore, the most appropriate answer is:

**c. 24**

Do you want details or have any questions?

Here are 5 numbered questions for you to ask:
1. How do you solve quadratic equations?
2. Can you explain the Pythagorean theorem?
3. How do you find the derivative of a function?
4. What are the steps to solve a system of linear equations?
5. How do you calculate the area under a curve using integration?

Tip: When solving percentage problems, always ensure that all percentages add up to 100% for accuracy.

Learn how to calculate the capacity of a flash drive based on percentage calculations. This problem involves understanding percentages of different file types and solving an equation to find the total capacity of the flash drive. Suitable for students in Grades 7-9.

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