A large mixing tank currently contains 200 gallons of water, into which 10 pounds of sugar have been mixed. A tap will open, pouring 10 gallons of water per minute into the tank at the same time sugar is poured into the tank at a rate of 3 pounds per minute. Find the concentration (pounds per gallon) of sugar in the tank after t minutes.

A large mixing tank currently contains 200 gallons of water, into which 10 pounds of sugar have been mixed. A tap will open, pouring 10 gallons of water per minute into the tank at the same time sugar is poured into the tank at a rate of 3 pounds per minute. Find the concentration (pounds per gallon) of sugar in the tank after t minutes.

PREALGEBRA

15th Edition

ISBN:9781938168994

Author:OpenStax

Publisher:OpenStax

Chapter5: Decimals

Section5.6: Ratios And Rate

Problem 483E: A popular fast food burger weighs 7.5 ounces and contains 540 calories, 29 grams of fat, 43 grams of...

See similar textbooks

Similar questions

Estimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.
A popular fast food burger weighs 7.5 ounces and contains 540 calories, 29 grams of fat, 43 grams of carbohydrates, and 25 grams of protein. Find the unit rate of (a) calories per ounce (b) grams of fat per ounce (c) grams of carbohydrates per ounce (d) grams of protein per ounce. Round to two decimal places.
A tand contains 1000 liters of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 liters/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at the rate of 10 liters/min. The solution is kept thoroughly mixed and drains from the tank at 15 liters/min. How much salt is left in the tank after 1 hour?
A tank contains initially 2.500 liters of 50% solution. Water enters the tank at the rate of 25 iters per minute and the solution flows out at the rate of 50 liters per minute. Find the percentage of salt after 20 minutes
A large tank filled with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. The well-mixed solution is pumped out at the same rate. What is the concentration of thesolution in the tank at t = 5 min? Answer is 0.0795lb/gal
A tank contains 100 liters of brine, with 50 kg total dissolved salt. Saltwater, with a concentration of 0.5 kg per liter, is allowed to run into the tank at the rate of 3 liters a minute. Brine run out of the tank at the rate of 2 liters a minute. The instantaneous concentration in the tank is kept uniform by stirring. How much salt is in the tank at the end of one hour?
In an oil refinery, a storage tank contains 2000 gal of gasoline that initially has 100 lb of an additive dissolved in it. In preparation for winter weather, gasoline containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal > min. The well-mixed solution is pumped out at a rate of 45 gal / min. How much of the additive is in the tank 20 min after the pumping process begins ?