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.

Answer 1

To find how many tickets the class needs to sell to raise exactly $324, we can first express the total amount of money raised as a function of the number of tickets sold.

Let \( t \) be the number of tickets sold. The class has already raised $300. Each ticket sold raises an additional $6. Therefore, the total amount of money raised, \( R(t) \), can be expressed as:

\[ R(t) = 300 + 6t \]

We need to determine how many tickets need to be sold to raise exactly $324. To do this, we set the total amount equal to $324:

\[ 300 + 6t = 324 \]

Now, we can solve for \( t \):

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

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

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