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Zaphod Beeblebrox is mixing drinks that contain three ingredients: Ol' Janx Spirit (ingredient A), water from the seas of Santraginus V (ingredient B) and Arcturan Mega-gin (ingredient C). On his shelf he has three mixtures M1, M2 and M3 containing ingredients A, B and C. The table below is showing the amounts in decilitres of ingredients A, B and C that are contained in 11 of each of the mixtures (11=10dcl). M1 M2 M3 ingredient A 2 3 0 ingredient B 3 4 1 ingredient C 3 9

Zaphod Beeblebrox is mixing drinks that contain three ingredients: Ol' Janx Spirit (ingredient A), water from the seas of Santraginus V (ingredient B) and Arcturan Mega-gin (ingredient C). On his shelf he has three mixtures M1, M2 and M3 containing ingredients A, B and C. The table below is showing the amounts in decilitres of ingredients A, B and C that are contained in 11 of each of the mixtures (11=10dcl). M1 M2 M3 ingredient A 2 3 0 ingredient B 3 4 1 ingredient C 3 9

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 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
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Zaphod Beeblebrox is mixing drinks that contain three ingredients: Ol' Janx Spirit (ingredient A), water from the seas of Santraginus V (ingredient B) and Arcturan Mega-gin (ingredient C). On his shelf he has three mixtures M1, M2 and M3 containing ingredients A, B and C. The table below is showing the amounts in decilitres of ingredients A, B and C that are contained in 11 of each of the mixtures (11=10dcl). M1 M2 M3 ingredient A 3 ingredient B 3 4 1 ingredient C 5 3 (a) Zaphod made a new mixture using 31 of M1, 21 of M2 and 11 of M3. Determine the amount of each type of ingredient in this mixture. (b) A recipe for Pan Galactic Gargle Blaster requires a mixture that contains 2dcl of ingredient A, 3dcl of ingredient B and 5dcl of ingredient C. Zaphod wants to prepare it using mixtures M1, M2 and M3. What is the minimal and what is the maximal amount of mixture M3 that he can use?
Transcribed Image Text:Zaphod Beeblebrox is mixing drinks that contain three ingredients: Ol' Janx Spirit (ingredient A), water from the seas of Santraginus V (ingredient B) and Arcturan Mega-gin (ingredient C). On his shelf he has three mixtures M1, M2 and M3 containing ingredients A, B and C. The table below is showing the amounts in decilitres of ingredients A, B and C that are contained in 11 of each of the mixtures (11=10dcl). M1 M2 M3 ingredient A 3 ingredient B 3 4 1 ingredient C 5 3 (a) Zaphod made a new mixture using 31 of M1, 21 of M2 and 11 of M3. Determine the amount of each type of ingredient in this mixture. (b) A recipe for Pan Galactic Gargle Blaster requires a mixture that contains 2dcl of ingredient A, 3dcl of ingredient B and 5dcl of ingredient C. Zaphod wants to prepare it using mixtures M1, M2 and M3. What is the minimal and what is the maximal amount of mixture M3 that he can use?
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