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The problem you're working on involves Corey buying cookies and oranges, and it asks you to select the correct equation or tape diagram representing the situation.

### Given Information:
- Corey spends a total of **$28.11**.
- He spends **$6.75** on cookies.
- He buys **6 bags of oranges**, with each bag costing the same amount (denoted by **b**).

### To Model This Situation:
- The total amount Corey spends is the sum of what he pays for cookies and oranges.
- The total amount spent on oranges is the cost per bag (denoted as **b**) multiplied by the number of bags (6).

The equation can be written as:
\[
28.11 = 6.75 + 6b
\]
This represents:
- **$28.11** as the total Corey spends,
- **$6.75** for the cookies,
- **6b** as the total for 6 bags of oranges, where each bag costs **b**.

### Option A:
\[
28.11 = 6 + 6.75b
\]
This equation seems incorrect because it mixes up the cost of cookies and oranges.

### Option B:
A tape diagram shows **6b** for the oranges and **$6.75** for the cookies, adding up to **$28.11**. The tape diagram corresponds to the correct representation, matching the equation:
\[
28.11 = 6.75 + 6b
\]

### Option C:
This option simply shows the total amount of **$28.11** without specifying how it is broken down, so it isn't very useful in representing the equation.

### Conclusion:
The correct answer is **B** (the tape diagram), as it visually and mathematically represents the situation accurately.

Would you like further explanation or any details?

Here are 5 questions for practice:
1. How would the equation change if Corey bought 7 bags of oranges instead of 6?
2. If Corey spent $8 on cookies, how would that affect the equation?
3. What if each bag of oranges cost $2, how would you solve for **b**?
4. How does a tape diagram help in visualizing algebraic problems?
5. Could you write a similar word problem using a different item like apples?

**Tip**: Always start by identifying variables for unknowns and constants for known amounts when solving word problems!

Corey buys cookies and oranges at the store. He pays a total of $28.11. He pays $6.75 for the cookies. He buys 6 bags of oranges that each cost the same amount. Which equation or tape diagram could be used to represent the context if b represents how much each bag of oranges costs?

Learn how to solve a linear equation representing the total cost Corey pays for cookies and oranges. This problem involves algebraic concepts and solving for unknowns, perfect for students in Grades 6-8.

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