Rue operates a food truck on Florida beaches, where she sells paninis and drinks, which she can sell for $12.00 and $6.00, respectively. Rue uses all of the money she makes to purchase theme park tickets, which cost $144.00, and her only other income comes from dividend payments of $48.00 from her investment portfolio. 

Let x1
 represent paninis, x2
 represent drinks, t
 represent tickets, and d
 represent dividend income. Complete Rue's budget equation:
   
 x1
 +   
 x2
 +   
   =   
 t

To complete Rue's budget equation, we need to break down how much money she makes from selling paninis and drinks and how she allocates her income.

### Given:
- She sells paninis for $12 each, so her income from paninis is $12x_1$.
- She sells drinks for $6 each, so her income from drinks is $6x_2$.
- She receives $48 in dividends from her investment portfolio, so this dividend income is represented by $d = 48$.
- Her expense is the total cost of theme park tickets, which is $t = 144$.

### Budget Equation:
The total income from paninis and drinks, plus her dividend income, equals the cost of the tickets.

\[
12x_1 + 6x_2 + 48 = 144
\]

This represents her budget equation.

Would you like any further clarification on this? 

Here are 5 related questions:
1. How many paninis does Rue need to sell if she doesn't sell any drinks?
2. If Rue only sells drinks, how many does she need to sell to cover the cost of the tickets?
3. How many combinations of paninis and drinks can Rue sell to meet her goal?
4. What happens to the equation if ticket prices increase by 10%?
5. How would Rue's equation change if her dividend income increased?

**Tip**: When forming budget equations, always account for all sources of income and match them to total expenses.

Rue operates a food truck on Florida beaches, where she sells paninis and drinks, which she can sell for $12.00 and $6.00, respectively. Rue uses all of the money she makes to purchase theme park tickets, which cost $144.00, and her only other income comes from dividend payments of $48.00 from her investment portfolio. Complete Rue's budget equation.

Learn how to create and solve a budget equation where Rue sells paninis and drinks to afford theme park tickets. This problem covers key algebraic concepts like linear equations and budgeting, suitable for students in Grades 6-8. The solution includes using a formula based on income from sales and dividends to cover ticket expenses.

Math Problem Statement

x1 +
x2 +

Solution

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