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Dr. Ng (not his real name) works part time as a fruit seller. He goes to the fruit wholesaler every day with $200 and buys back 3 types of fruits to sell at his stall. On a particular day, he decides to choose from oranges, grapefruits and mangoes and finds these fruits selling at the following prices: Orange: $0.50 per orange Grapefruit: $1.10 per grapefruit Mango: $1.50 per mango (i) If Dr. Ng wants to buy exactly 100 fruits and use all his $200, write down a linear system with two equations and three variables. (ii) Determine if it is possible for Dr. Ng to make his purchases. Important: For this question, it is obvious that Dr. Ng is not allowed to buy a fraction of a fruit, neither is it possible that the number of a particular fruit he buys is negative.

Dr. Ng (not his real name) works part time as a fruit seller. He goes to the fruit wholesaler every day with $200 and buys back 3 types of fruits to sell at his stall. On a particular day, he decides to choose from oranges, grapefruits and mangoes and finds these fruits selling at the following prices: Orange: $0.50 per orange Grapefruit: $1.10 per grapefruit Mango: $1.50 per mango (i) If Dr. Ng wants to buy exactly 100 fruits and use all his $200, write down a linear system with two equations and three variables. (ii) Determine if it is possible for Dr. Ng to make his purchases. Important: For this question, it is obvious that Dr. Ng is not allowed to buy a fraction of a fruit, neither is it possible that the number of a particular fruit he buys is negative.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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Dr. Ng (not his real name) works part time as a fruit seller. He goes to the fruit wholesaler every day with $200 and buys back 3 types of fruits to sell at his stall. On a particular day, he decides to choose from oranges, grapefruits and mangoes and finds these fruits selling at the following prices: Orange: $0.50 per orange Grapefruit: $1.10 per grapefruit Mango: $1.50 per mango (i) If Dr. Ng wants to buy exactly 100 fruits and use all his $200, write down a linear system with two equations and three variables. (ii) Determine if it is possible for Dr. Ng to make his purchases. Important: For this question, it is obvious that Dr. Ng is not allowed to buy a fraction of a fruit, neither is it possible that the number of a particular fruit he buys is negative.
Transcribed Image Text:Dr. Ng (not his real name) works part time as a fruit seller. He goes to the fruit wholesaler every day with $200 and buys back 3 types of fruits to sell at his stall. On a particular day, he decides to choose from oranges, grapefruits and mangoes and finds these fruits selling at the following prices: Orange: $0.50 per orange Grapefruit: $1.10 per grapefruit Mango: $1.50 per mango (i) If Dr. Ng wants to buy exactly 100 fruits and use all his $200, write down a linear system with two equations and three variables. (ii) Determine if it is possible for Dr. Ng to make his purchases. Important: For this question, it is obvious that Dr. Ng is not allowed to buy a fraction of a fruit, neither is it possible that the number of a particular fruit he buys is negative.
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