https://file.aiquickdraw.com/mathbot/file/1729056863196p2btmbaa.jpg

We are given that you sell 14 more tickets than your friend, and together you sell 58 tickets. Let \( x \) represent the number of tickets you sell, and \( y \) represent the number of tickets your friend sells. We can now write a system of linear equations based on this information.

### Step-by-step:

1. **Relationship between your tickets and your friend's tickets:**
   You sell 14 more tickets than your friend:
   \[
   x = y + 14
   \]
   
2. **Total tickets sold:**
   Together, you and your friend sell 58 tickets:
   \[
   x + y = 58
   \]

### System of linear equations:
\[
\begin{cases}
x = y + 14 \\
x + y = 58
\end{cases}
\]

This is the system of linear equations that represents the situation.

Do you want more details or have any questions?

Here are 5 related questions to further explore:

1. How can you solve this system of linear equations to find the values of \( x \) and \( y \)?
2. How would this system change if you sold 10 more tickets than your friend instead of 14?
3. What method can be used to solve this system of equations: substitution or elimination?
4. How can you verify the solution once you've found the number of tickets sold by each person?
5. How would the system look if the total number of tickets sold was different, say 100?

**Tip:** Always look for clear relationships between variables to set up your system of equations correctly.

You and your friend are selling raffle tickets for a new laptop. You sell 14 more tickets than your friend sells. Together, you and your friend sell 58 tickets. Write a system of linear equations that represents this situation. Let x represent the number of tickets you sell and y represent the number of tickets your friend sells.

Learn how to set up a system of linear equations based on a problem involving the sale of raffle tickets. This problem involves determining the number of tickets each person sells when one person sells 14 more than the other, and together they sell 58 tickets. Suitable for students in 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