
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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![A student is solving the following problem: Cody is 44 years younger than Kathryn. 7 years ago,
Kathryn's age was 3 times Cody's age. How old is Kathryn now?
The student writes out his solution, noting what he did:
Cody now = c, so Cody 7 years ago was c -7
Kathryn now = k, so Kathryn 7 years ago was k - 7
Cody is 44 years younger than Kathryn, so c = 44 - k
7 years ago, Kathryn's age was 3 times Cody's age
k-7 = 3(c - 7)
k-7 = 3[44 - k - 7] Substitute for c using c = 44 - k
k-7 = 3[-k + 37]
Simplify
k-7 = -3k + 111
4k = 118
k = 29.5
There is no way that Kathryn's age is 29.5 if Cody is supposed to be 44 years younger than
Kathryn, so what went wrong? What mistake did the student make?](https://content.bartleby.com/qna-images/question/dc1123ec-a0e0-4e35-afe0-df78f47a58b5/69fe57b6-1694-4626-aee4-cafdebe0c850/w4if5u_thumbnail.jpeg)
Transcribed Image Text:A student is solving the following problem: Cody is 44 years younger than Kathryn. 7 years ago,
Kathryn's age was 3 times Cody's age. How old is Kathryn now?
The student writes out his solution, noting what he did:
Cody now = c, so Cody 7 years ago was c -7
Kathryn now = k, so Kathryn 7 years ago was k - 7
Cody is 44 years younger than Kathryn, so c = 44 - k
7 years ago, Kathryn's age was 3 times Cody's age
k-7 = 3(c - 7)
k-7 = 3[44 - k - 7] Substitute for c using c = 44 - k
k-7 = 3[-k + 37]
Simplify
k-7 = -3k + 111
4k = 118
k = 29.5
There is no way that Kathryn's age is 29.5 if Cody is supposed to be 44 years younger than
Kathryn, so what went wrong? What mistake did the student make?
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