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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

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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!

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