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A tank containing chocolate milk initially contains a mixture of 460 gallons of milk and 40 gallons of chocolate syrup. Milk is added to the tank at the rate of 8 gallons per minute and syrup is added at a rate of 2 gallons per minute. At the same time, chocolate milk is withdrawn at a rate of 10 gallons per minute. Assuming perfect mixing of milk and syrup, determine how much syrup will be in the tank after 10 minutes.

A tank containing chocolate milk initially contains a mixture of 460 gallons of milk and 40 gallons of chocolate syrup. Milk is added to the tank at the rate of 8 gallons per minute and syrup is added at a rate of 2 gallons per minute. At the same time, chocolate milk is withdrawn at a rate of 10 gallons per minute. Assuming perfect mixing of milk and syrup, determine how much syrup will be in the tank after 10 minutes.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.3: Equations With Fractional Coefficient
Problem 6E
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A tank containing chocolate milk initially contains a mixture of 460 gallons of milk and 40 gallons of chocolate syrup. Milk is added to the tank at the rate of 8 gallons per minute and syrup is added at a rate of 2 gallons per minute. At the same time, chocolate milk is withdrawn at a rate of 10 gallons per minute. Assuming perfect mixing of milk and syrup, determine how much syrup will be in the tank after 10 minutes. O A. 55.50 gal. O B. None of the choices O C. 50.88 gal. O D. 60.23 gal. O E. 23.90 gal.
Transcribed Image Text:A tank containing chocolate milk initially contains a mixture of 460 gallons of milk and 40 gallons of chocolate syrup. Milk is added to the tank at the rate of 8 gallons per minute and syrup is added at a rate of 2 gallons per minute. At the same time, chocolate milk is withdrawn at a rate of 10 gallons per minute. Assuming perfect mixing of milk and syrup, determine how much syrup will be in the tank after 10 minutes. O A. 55.50 gal. O B. None of the choices O C. 50.88 gal. O D. 60.23 gal. O E. 23.90 gal.
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