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Example 2: Orange Soda A manufacturer of soft drinks advertises their orange soda as "naturally flavored," although it contains only 5% orange juice. A new federal regulation stipulates that to be called "natural," a drink must contain at least 10% fruit juice. If the manufacturer needs to sell a total of 950 gallons of “natural" drink, how much pure orange juice and orange soda are needed to conform to the new regulation?

Example 2: Orange Soda A manufacturer of soft drinks advertises their orange soda as "naturally flavored," although it contains only 5% orange juice. A new federal regulation stipulates that to be called "natural," a drink must contain at least 10% fruit juice. If the manufacturer needs to sell a total of 950 gallons of “natural" drink, how much pure orange juice and orange soda are needed to conform to the new regulation?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 65EQ
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Example 2: Orange Soda 

Area of Exploration: Mixtures and Concentration Example 2: Orange Soda A manufacturer of soft drinks advertises their orange soda as "naturally flavored," although it contains only 5% orange juice. A new federal regulation stipulates that to be called "natural," a drink must contain at least 10% fruit juice. If the manufacturer needs to sella total of 950 gallons of "natural" drink, how much pure orange juice and orange soda are needed to conform to the new regulation? In any problem of this type-in which two different substances are to be mixed-drawing a diagram helps us to organize the given information 10% juice 5% juice 100% juice To set up the model, we use the fact that the total amount of orange juice in the mixture is equal to the orange juice in the first two vats.
Transcribed Image Text:Area of Exploration: Mixtures and Concentration Example 2: Orange Soda A manufacturer of soft drinks advertises their orange soda as "naturally flavored," although it contains only 5% orange juice. A new federal regulation stipulates that to be called "natural," a drink must contain at least 10% fruit juice. If the manufacturer needs to sella total of 950 gallons of "natural" drink, how much pure orange juice and orange soda are needed to conform to the new regulation? In any problem of this type-in which two different substances are to be mixed-drawing a diagram helps us to organize the given information 10% juice 5% juice 100% juice To set up the model, we use the fact that the total amount of orange juice in the mixture is equal to the orange juice in the first two vats.
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