A seventh grade class is having a raffle to raise money for a field trip. They have already raised $300, and will raise $6 for every ticket they sell. How many tickets do they need to sell to raise exactly $324?

Question

Let t be the number of tickets the class sells. Write an expression that represents the total amount of money the class raises.
Great job!
Complete the equation to represent the amount of money the class needs to raise in order to reach their goal.
6t+300 =

Answer 1

To find out how many tickets the class needs to sell to raise exactly $324, we start by setting up the equation based on the information provided.

The total money raised consists of the initial amount of $300 plus the money made from selling \( t \) tickets at $6 each. The expression for the total amount of money raised can be written as:

\[ 6t + 300 \]

Now, we need to find out how much more money they need to raise in order to reach their goal of $324. Since they already have $300, the additional amount they need is:

\[ 324 - 300 = 24 \]

Now, this can be represented in an equation where the total raised must equal the goal:

\[ 6t + 300 = 324 \]

Thus, the complete equation to represent the situation is:

\[ 6t + 300 = 324 \]

Now we can solve for \( t \):

1. Subtract 300 from both sides: \[ 6t = 324 - 300 \] \[ 6t = 24 \]

2. Divide both sides by 6: \[ t = \frac{24}{6} \] \[ t = 4 \]

Therefore, the class needs to sell 4 tickets to raise exactly $324.