Jordan and his children went into a restaurant and he bought $26 worth of drinks and tacos. Each drink costs $2.50 and each taco costs $2. He bought 4 more tacos than drinks. Write a system of equations that could be used to determine the number of drinks and the number of tacos that Jordan bought. Define the variables that you use to write the system.

Let's define our variables first:

- Let $ d $ represent the number of drinks Jordan bought.
- Let $ t $ represent the number of tacos Jordan bought.

Now we can set up the system of equations based on the information provided:

1. **Total Cost Equation**: The total cost of drinks and tacos was $26. Since each drink costs $2.50 and each taco costs $2, we can write:
   \[
   2.5d + 2t = 26
   \]

2. **Relationship Between Tacos and Drinks**: Jordan bought 4 more tacos than drinks, so we have:
   \[
   t = d + 4
   \]

Thus, the system of equations that represents this situation is:
\[
\begin{cases}
2.5d + 2t = 26 \\
t = d + 4
\end{cases}
\]

This system can be solved to find the values of $ d $ and $ t $, representing the number of drinks and tacos, respectively.

Would you like me to solve this system, or do you have any questions about setting it up?

Here are five related questions to deepen your understanding:

1. How would you solve this system of equations using substitution?
2. What would the solution tell you about the quantity of each item Jordan bought?
3. How can you verify that the solution satisfies both conditions given in the problem?
4. How would the system change if Jordan had bought 3 more drinks than tacos instead?
5. What would happen if each taco's price increased by $0.50?

**Tip:** When defining variables, make sure each variable directly represents the quantity or value specified in the problem to avoid confusion.

Learn how to write and solve a system of equations to determine the number of drinks and tacos bought by Jordan at a restaurant. This problem involves algebraic concepts like linear equations and systems of equations, suitable for students in Grades 7-9.

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