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1- In the library, the prices are as follows: The pen is $5, the notebook is $7, the book is $30.. John wanted to buy 100 of the types (pen, notebook and book), where the price is 1089 dollars.. How much does he buy of each type?

1- In the library, the prices are as follows: The pen is $5, the notebook is $7, the book is $30.. John wanted to buy 100 of the types (pen, notebook and book), where the price is 1089 dollars.. How much does he buy of each type?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1- In the library, the prices are as follows: The pen is $5, the notebook is $7, the book is $30.. John wanted to buy 100 of the types (pen, notebook and book), where the price is 1089 dollars.. How much does he buy of each type? 2- How can we prove that if gcd(b,c)=1, then gcd(a,bc)= gcd(a,b) • gcd(a,c) where a, b, c are non-zero integers 3- What are all the primitive Pythagorean triples (a, b, 145)?
Transcribed Image Text:1- In the library, the prices are as follows: The pen is $5, the notebook is $7, the book is $30.. John wanted to buy 100 of the types (pen, notebook and book), where the price is 1089 dollars.. How much does he buy of each type? 2- How can we prove that if gcd(b,c)=1, then gcd(a,bc)= gcd(a,b) • gcd(a,c) where a, b, c are non-zero integers 3- What are all the primitive Pythagorean triples (a, b, 145)?
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