Amanda buys lunch for a group of people. She buys each person a $2.50 hamburger, $1.50 French fries, and drinks (d) which had no price listed. Then, she buys a cake for everyone to share that cost $9.00. If lunch was for 5 people, simplify the expression below representing the total cost.
5 (2.50 +1.50 + d) + 9.00
Od+23
5d+29
d+29
5d+65

We are given the following expression for the total cost of lunch:

\[
5 \times (2.50 + 1.50 + d) + 9.00
\]

Here's how to simplify it step-by-step:

1. **Combine like terms inside the parentheses:**
   \[
   2.50 + 1.50 + d = 4.00 + d
   \]
   
2. **Multiply by 5:**
   \[
   5 \times (4.00 + d) = 5 \times 4.00 + 5 \times d = 20.00 + 5d
   \]
   
3. **Add the $9.00 for the cake:**
   \[
   20.00 + 5d + 9.00 = 5d + 29.00
   \]

So, the simplified expression for the total cost is:

\[
\boxed{5d + 29}
\]

This matches option $ \textbf{5d + 29} $.

Would you like more details on any step, or do you have any questions?

Here are 5 related questions to expand on this topic:

1. How would the expression change if Amanda bought lunch for 6 people instead of 5?
2. What if each drink cost $2.00? How would the total cost expression change?
3. How would you calculate the total cost if Amanda also had to pay a 10% tax on the entire purchase?
4. What if Amanda had a coupon for $5.00 off the entire order? How would that affect the total cost?
5. How would the expression change if Amanda bought additional desserts for everyone at $3.00 each?

**Tip:** When simplifying expressions, always combine like terms first to make the process easier.

Learn how to simplify the total cost calculation of Amanda's lunch for a group using basic arithmetic operations. Explore step-by-step solutions and understand the concept of distributing costs evenly among group members. Suitable for students in Grades 5-7.

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