Subjects algebra

Raffle Ticket Equation

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We have two classes selling raffle tickets at different prices and amounts already raised. We want to find the equation to determine $t$, the number of tickets each class needs to sell so that the total money raised by both classes is the same. 2. **Define variables and expressions:** - For the first class: each ticket costs $2.50$, and they have already raised $350$. So total money raised after selling $t$ tickets is $$2.50t + 350$$. - For the second class: each ticket costs $3.00$, and they have already raised $225$. So total money raised after selling $t$ tickets is $$3t + 225$$. 3. **Set up the equation:** Since we want the total amounts to be equal, we set the two expressions equal: $$2.50t + 350 = 3t + 225$$ 4. **Interpretation:** This equation means the total money raised by the first class equals the total money raised by the second class after selling $t$ tickets each. 5. **Check the options:** The equation matches option c: $$2.50t + 350 = 3t + 225$$. **Final answer:** Option c is the correct equation.