Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Related questions
Question
Tirirpfprpdpr
![**Problem 42:**
**Description:**
Danish read 15 pages of a book in a day. Wesley read 20 pages of the same book in a day. Danish started reading the book 3 days earlier than Wesley. How many days would Wesley need to read the book to be 20 pages ahead of Danish?
**Solution Strategy:**
To determine the number of days Wesley needs to read the book to be 20 pages ahead of Danish, we must establish a system of equations based on their reading rates and the initial conditions given.
Let \( d \) be the number of days Wesley reads the book.
### Steps to Solve:
1. Determine the number of pages Danish has read by the time Wesley starts:
- Danish reads for 3 days before Wesley, and his reading rate is 15 pages/day.
- Total pages read by Danish in 3 days: \( 15 \times 3 = 45 \) pages.
2. Express the total pages read by Danish and Wesley:
- Pages read by Danish after \( d \) days: \( 15(d + 3) \)
- Pages read by Wesley after \( d \) days: \( 20d \)
3. Set up the equation:
- We want Wesley to be 20 pages ahead of Danish.
- \( 20d = 15(d + 3) + 20 \)
4. Solve the equation for \( d \):
\[
20d = 15(d + 3) + 20
\]
\[
20d = 15d + 45 + 20
\]
\[
20d = 15d + 65
\]
\[
20d - 15d = 65
\]
\[
5d = 65
\]
\[
d = \frac{65}{5}
\]
\[
d = 13
\]
Wesley would need to read the book for 13 days to be 20 pages ahead of Danish.](https://content.bartleby.com/qna-images/question/230199af-f664-4f93-821b-7cfa5784f333/826fb2a1-48e1-4354-b432-784561629299/qucqfls_processed.jpeg)
Transcribed Image Text:**Problem 42:**
**Description:**
Danish read 15 pages of a book in a day. Wesley read 20 pages of the same book in a day. Danish started reading the book 3 days earlier than Wesley. How many days would Wesley need to read the book to be 20 pages ahead of Danish?
**Solution Strategy:**
To determine the number of days Wesley needs to read the book to be 20 pages ahead of Danish, we must establish a system of equations based on their reading rates and the initial conditions given.
Let \( d \) be the number of days Wesley reads the book.
### Steps to Solve:
1. Determine the number of pages Danish has read by the time Wesley starts:
- Danish reads for 3 days before Wesley, and his reading rate is 15 pages/day.
- Total pages read by Danish in 3 days: \( 15 \times 3 = 45 \) pages.
2. Express the total pages read by Danish and Wesley:
- Pages read by Danish after \( d \) days: \( 15(d + 3) \)
- Pages read by Wesley after \( d \) days: \( 20d \)
3. Set up the equation:
- We want Wesley to be 20 pages ahead of Danish.
- \( 20d = 15(d + 3) + 20 \)
4. Solve the equation for \( d \):
\[
20d = 15(d + 3) + 20
\]
\[
20d = 15d + 45 + 20
\]
\[
20d = 15d + 65
\]
\[
20d - 15d = 65
\]
\[
5d = 65
\]
\[
d = \frac{65}{5}
\]
\[
d = 13
\]
Wesley would need to read the book for 13 days to be 20 pages ahead of Danish.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 3 steps with 1 images
Knowledge Booster
Similar questions
- Please explain the solution in a clear manner, step by step.arrow_forwardFind x, the angle of depression from the top of a lighthouse that is 173 ft above water level to the waterline of a ship 1194 ft off shore. Round your answer to the nearest tenth of a degree. 1194 x = • 173 Save For Later Submit Assignment Check O 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center |Accessibility MacBook Ain FI F7 F9 吕口 F5 esc E4 F2 @ #3 24 % & * 8 9arrow_forwardWhat is the wavelength of the radio signal from an FM station with a frequency 108 MHz?arrow_forward
- what is origin?arrow_forwardPlease explain the solution in a clear manner, step by step.arrow_forwardAcellus - The Science of Learning x in247.acellus.com/StudentFunctions/Interface/acellus_engine.html?ClassID=96293073# M Compose Mail - kla. P PicsArt / Editor new tab Dayforce Vertical Angles Status Recovery Vertical angles are congruent. Find the measure of angle x. X = |?| [2] 38° Enter Copyright e20og-2021 Acellus Corporation. All Rights Reserved. 49°F Clou Σarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSON
Contemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage Learning
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning 
Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSON
Introduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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