4. A merchant buys 3 types of goods. The price of type X is 50 TL, type Y is 75 TL and type Z is 20 TL. The merchant who buys at least one of each goods pays 4000 TL for a total of 100 products. Find the number of goods of each type that the merchant buys by converting the problem into a Linear Diophantine equation.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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4.
A merchant buys 3 types of goods. The price of type X is 50 TL, type Y is 75 TL and
type Z is 20 TL. The merchant who buys at least one of each goods pays 4000 TL for a total of 100
products. Find the number of goods of each type that the merchant buys by converting the problem
into a Linear Diophantine equation.
Transcribed Image Text:4. A merchant buys 3 types of goods. The price of type X is 50 TL, type Y is 75 TL and type Z is 20 TL. The merchant who buys at least one of each goods pays 4000 TL for a total of 100 products. Find the number of goods of each type that the merchant buys by converting the problem into a Linear Diophantine equation.
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