Question
The Columbus Junior Soccer League is selling raffle tickets to raise money for new uniforms and equipment. So far, league members have earned \( \$ 1,218 \) from selling 84 tickets. Use the equation \( 1,218 \div 84=r \) to find the cost of each raffle ticket. Then use the answer to find what the total earnings will be after 90 raffle tickets have been sold.
Ask by Pollard Barrett. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Each raffle ticket costs \$14.50, and selling 90 tickets will raise a total of \$1,305.
Solution
To determine the cost of each raffle ticket and the projected total earnings after selling 90 tickets, follow these steps:
### **1. Find the Cost of Each Raffle Ticket**
**Given:**
- Total earnings so far: \$1,218
- Number of tickets sold: 84
**Equation:**
\[
\text{Cost per ticket} (r) = \frac{\$1,218}{84}
\]
**Calculation:**
\[
r = \frac{1,218}{84} = 14.5
\]
**Conclusion:**
Each raffle ticket costs **\$14.50**.
---
### **2. Calculate Total Earnings After Selling 90 Tickets**
**Given:**
- Cost per ticket: \$14.50
- Number of tickets to be sold: 90
**Equation:**
\[
\text{Total Earnings} = \text{Cost per ticket} \times \text{Number of tickets}
\]
**Calculation:**
\[
\text{Total Earnings} = 14.5 \times 90 = 1,305
\]
**Conclusion:**
After selling 90 raffle tickets, the total earnings will be **\$1,305**.
---
### **Summary**
- **Cost per raffle ticket:** \$14.50
- **Total earnings after 90 tickets sold:** \$1,305
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain
Simplify this solution
Beyond the Answer
To find the cost of each raffle ticket, we can solve the equation \( 1,218 \div 84 = r \). Doing the math, we find that \( r \) equals approximately \( 14.50 \). Thus, each raffle ticket costs \( \$ 14.50 \). Now, to find the total earnings after selling 90 raffle tickets, we multiply the ticket price by the number of tickets: \( 14.50 \times 90 = 1,305 \). So, the total earnings from selling 90 tickets will be \( \$ 1,305 \). Happy selling!