Sophia buys a mixed bunch of flowers for $15. Then she buys roses for $3 each and tulips for $2 each. Write an algebraic expression that can be used to find the total amount of money Sophia will spend on flowers if she buys any number of roses, r, and any number of tulips, p. Then find the total amount of money Sophia will spend on flowers if she buys 7 roses and 4 tulips.
Sophia buys a mixed bunch of flowers for $15. Then she buys roses for $3 each and tulips for $2 each. Write an algebraic expression that can be used to find the total amount of money Sophia will spend on flowers if she buys any number of roses, r, and any number of tulips, p. Then find the total amount of money Sophia will spend on flowers if she buys 7 roses and 4 tulips.
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,...
Related questions
Question
100%
Can you tell me the answer to these questions?
![### Algebraic Expression for Total Cost of Flowers
**Problem Statement:**
Sophia buys a mixed bunch of flowers for $15. Then she buys roses for $3 each and tulips for $2 each.
**Objective:**
1. Write an algebraic expression to find the total amount of money Sophia will spend on flowers if she buys any number of roses, \( r \), and any number of tulips, \( p \).
2. Calculate the total amount Sophia will spend if she buys 7 roses and 4 tulips.
**Algebraic Expression:**
- The cost expression for roses and tulips can be represented as:
\[
3r + 2p
\]
where:
- \( r \) is the number of roses,
- \( p \) is the number of tulips.
**Solution for Specific Numbers:**
- To find the total cost when Sophia buys 7 roses and 4 tulips:
Substitute \( r = 7 \) and \( p = 4 \) into the expression:
\[
3 \times 7 + 2 \times 4
\]
This simplifies to:
\[
21 + 8 = 29
\]
**Conclusion:**
- Sophia will spend a total of $29 on flowers if she buys 7 roses and 4 tulips.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9beaa9e2-f453-43bc-9d13-2954b11283b6%2Fa2301bce-c729-4a51-8538-a2c8c6c98946%2Fy2xzzj5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Algebraic Expression for Total Cost of Flowers
**Problem Statement:**
Sophia buys a mixed bunch of flowers for $15. Then she buys roses for $3 each and tulips for $2 each.
**Objective:**
1. Write an algebraic expression to find the total amount of money Sophia will spend on flowers if she buys any number of roses, \( r \), and any number of tulips, \( p \).
2. Calculate the total amount Sophia will spend if she buys 7 roses and 4 tulips.
**Algebraic Expression:**
- The cost expression for roses and tulips can be represented as:
\[
3r + 2p
\]
where:
- \( r \) is the number of roses,
- \( p \) is the number of tulips.
**Solution for Specific Numbers:**
- To find the total cost when Sophia buys 7 roses and 4 tulips:
Substitute \( r = 7 \) and \( p = 4 \) into the expression:
\[
3 \times 7 + 2 \times 4
\]
This simplifies to:
\[
21 + 8 = 29
\]
**Conclusion:**
- Sophia will spend a total of $29 on flowers if she buys 7 roses and 4 tulips.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 8 images
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education