Question
ai) After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the first event, they raise \( \$ 240 \), which is \( 10 \% \) of the total amount that they want to raise. (1) What is the total amount of money that Shanika and her friends want to raise? \( \$ \square \)
Ask by Coles Brooks. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The total amount Shanika and her friends want to raise is \$2,400.
Solution
To determine the **total amount** that Shanika and her friends aim to raise, let's break down the problem step by step.
### Given:
- **Amount raised after the first event**: \$240
- **This amount represents**: 10% of the total goal
### Let:
- **Total Amount to Raise** = \( T \)
### Relationship:
\[ 10\% \times T = \$240 \]
### Converting Percentage to Decimal:
\[ 10\% = 0.10 \]
### Equation:
\[ 0.10 \times T = 240 \]
### Solving for \( T \):
\[ T = \frac{240}{0.10} \]
\[ T = 2400 \]
### **Answer:**
The total amount of money that Shanika and her friends want to raise is **\$2,400**.
\[
\$ \boxed{2400}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To find the total amount of money that Shanika and her friends want to raise, we can use the information provided that \( \$240 \) is \( 10\% \) of the total amount. We can set up the equation: \[ 10\% \text{ of Total Amount} = \$240 \] To find the Total Amount, we can express \( 10\% \) as a decimal: \[ 0.10 \times \text{Total Amount} = 240 \] Now, we can solve for Total Amount: \[ \text{Total Amount} = \frac{240}{0.10} = 2400 \] Therefore, the total amount of money that Shanika and her friends want to raise is \( \$2400 \).
