https://file.aiquickdraw.com/mathbot/file/1727295682088te3vh97u.jpg

To solve this problem, we need to set up an inequality to represent the situation described.

1. The Booster Club's goal is to raise at least $700.
2. They have already raised $175.
3. They are charging $5.00 per ticket for a pancake breakfast.

Let's define $ t $ as the number of tickets that need to be sold.

First, calculate how much more money needs to be raised to meet the goal:

\[
700 - 175 = 525
\]

The Booster Club needs to raise an additional $525. 

Since each ticket costs $5.00, we can set up the inequality:

\[
5t \geq 525
\]

This inequality states that the total amount of money raised by selling tickets must be at least $525.

To find the minimum number of tickets $ t $ that must be sold, solve for $ t $:

\[
t \geq \frac{525}{5}
\]

\[
t \geq 105
\]

So, the Booster Club must sell at least 105 tickets to meet its goal.

If you have any questions or need further details, please let me know!

Here are 5 related questions for further exploration:

1. What if the Booster Club wanted to raise at least $800 instead of $700? How many tickets would they need to sell then?
2. How would the inequality change if the ticket price was reduced to $4.00 per ticket?
3. If the club has already raised $250, how many tickets must they sell at $5.00 each to reach the same goal?
4. How would the inequality be set up if the goal was to raise exactly $700, not at least $700?
5. What if there was a processing fee of $0.50 per ticket sold? How would that affect the number of tickets needed?

**Tip:** When setting up inequalities for word problems, carefully define your variable and ensure you account for all initial amounts and rates correctly.

The Booster Club has a goal of raising at least $700. The Club has already raised $175. The Booster Club is sponsoring a pancake breakfast and charging $5.00 per ticket. What inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal?

Learn how to set up and solve the inequality representing the number of tickets the Booster Club must sell at $5 each to raise at least $700. The club has already raised $175 and needs to calculate the remaining amount through ticket sales. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation