A project on Kickstarter for an iPad stylus raised 1,256% of their goal, raising a total of $317,584 from 7,440 supporters. What was their original goal?

$

Give your answer to the nearest dollar.

To find the original goal of the Kickstarter project, you can use the percentage they raised and the total amount raised.

Given:
- Percentage of the goal raised: 1,256% (or 12.56 times the original goal)
- Total amount raised: $317,584

Let the original goal be $ x $.

Since they raised 1,256% of their goal, the equation is:
\[
12.56 \times x = 317,584
\]

To find $ x $, divide both sides by 12.56:
\[
x = \frac{317,584}{12.56} \approx 25,284.78
\]

Rounding to the nearest dollar:
\[
x \approx 25,285
\]

So, the original goal was approximately **$25,285**.

Would you like to see more details or have any questions?

Here are 5 related questions for further exploration:
1. What would the goal be if they had raised 10 times the goal instead?
2. How much money would each supporter have contributed on average?
3. What percentage of the goal would have been raised if they only collected $200,000?
4. If they wanted to raise $500,000, what percentage of that did they achieve?
5. How many more supporters would they need to reach $400,000 assuming the average contribution remains the same?

**Tip:** When working with percentages, always convert them into decimals before using them in equations for easier calculation.

Learn how to calculate the original goal of a Kickstarter project that raised 1,256% of their goal, totaling $317,584 from 7,440 supporters. Understand the concept of percentage increase and basic arithmetic used to find the original funding goal. Suitable for students in Grades 6-8.

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