Question
A project on Kickstarter for an iPad stylus raised \( 1,364 \% \) of their goal, raising a total of \( \$ 318,345 \) from 7,363 supporters. What was their original goal? \( \$ \square \)
Ask by Kelly Frazier. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The original goal was \$23,339.
Solution
To find the original goal of the Kickstarter project, follow these steps:
1. **Understand the Percentage Raised:**
- The project raised **1,364%** of its original goal.
- This means the total amount raised is **13.64 times** the original goal.
2. **Set Up the Equation:**
\[
\text{Total Raised} = 13.64 \times \text{Original Goal}
\]
\[
318,345 = 13.64 \times G
\]
where \( G \) is the original goal.
3. **Solve for \( G \):**
\[
G = \frac{318,345}{13.64} \approx 23,339
\]
4. **Conclusion:**
- The original goal was **\$23,339**.
\[
\$23,\!339
\]
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Simplify this solution Mind Expander
To find the original goal, we can set up the equation based on the information given. The project raised 1,364% of its goal, which can be expressed as: \[ \text{Total Raised} = \left( \frac{1364}{100} \right) \times \text{Goal} \] Plugging in the total raised amount: \[ 318,345 = 13.64 \times \text{Goal} \] To find the goal, we can isolate it: \[ \text{Goal} = \frac{318,345}{13.64} \approx 23,360 \] So, the original goal was approximately \( \$ 23,360 \).
