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
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
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![**Problem Statement:**
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.
**Given Expression:**
\[ 5(2.50 + 1.50 + d) + 9.00 \]
**Solution:**
To simplify the expression, let's follow these steps:
1. **Combine the costs for each person:**
\[ 2.50 + 1.50 + d \]
\[ = 4.00 + d \]
2. **Multiply by the total number of people (5):**
\[ 5 \times (4.00 + d) \]
\[ = 5 \times 4.00 + 5 \times d \]
\[ = 20.00 + 5d \]
3. **Add the cost of the cake:**
\[ 20.00 + 5d + 9.00 \]
\[ = 29.00 + 5d \]
**Simplified Expression:**
The simplified expression representing the total cost is:
\[ 29.00 + 5d \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a2abefa-8af5-4367-9531-9df8f1e2327f%2Fcf9aef9c-d143-4485-9992-35f14e6ce6ad%2Fca9mrve_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
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.
**Given Expression:**
\[ 5(2.50 + 1.50 + d) + 9.00 \]
**Solution:**
To simplify the expression, let's follow these steps:
1. **Combine the costs for each person:**
\[ 2.50 + 1.50 + d \]
\[ = 4.00 + d \]
2. **Multiply by the total number of people (5):**
\[ 5 \times (4.00 + d) \]
\[ = 5 \times 4.00 + 5 \times d \]
\[ = 20.00 + 5d \]
3. **Add the cost of the cake:**
\[ 20.00 + 5d + 9.00 \]
\[ = 29.00 + 5d \]
**Simplified Expression:**
The simplified expression representing the total cost is:
\[ 29.00 + 5d \]
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