If 6 represents 24% of a number, what value represents 40% of that same number?

To determine the value that represents 40% of the same number from which 6 represents 24%, we first need to find the total number that 6 is a percentage of.

Since 6 represents 24% of the unknown number, you can set up the equation:

6 = 0.24 * x

To isolate x (the total number), divide both sides of the equation by 0.24:

x = 6 / 0.24

x = 25

Now that we know the total number is 25, we can calculate what 40% of this number will be:

40% of 25 is calculated as follows:

0.40 * 25 = 10

This confirms that the value that represents 40% of that same number is indeed 10, which aligns with the answer choice provided. The calculation method shows how percentages relate to whole numbers and offers a clear pathway to the solution, demonstrating an understanding of basic algebra and percentage calculations.