A tank is filled with 400 gallons of brine with 15 % dissolved salt. 10 gallons of 20% salt solution is added every minute and the tank is drained at 15 gallons every minute. How much salt is in the tank when it is half empty?

Q: Mildred, a pharmacist, was required to prepare 10 L of a 40% alcohol solution by mixing the flowing.…

A:

Q: How many ounces of pure water must be added to 50 oz of a 15% salinesolution to make a saline…

A:

Q: How many quarts of pure antifreeze must be added to 2 quarts of a 10​% antifreeze solution to…

A: Find the number of quarts of pure antifreeze that must be added to 2 quarts of a 10​% antifreeze…

Q: A chemist working on a flu vaccine needs to mix a 10% sodium-iodine solution with a 60%…

A: Given information: 10% sodium-iodine solution with a 60% sodium-iodine solution to obtain 50…

Q: The beaker contained 400 mL of a solution that was 20% alcohol. How many milliliters of a 50%…

A: This question is based on percentage.

Q: How many liters of 40% acid solution must be mixed with 10 liters of a 65% acid solution to get a…

A: Given Let Then according to problem

Q: In order to remove water from a flooded basement, two pumps, each rated at 40 gallons per minute,…

A:

Q: A 100 LB bag of animal feed is 40% oats. How many pounds of oats must be added to this feed to…

A: Given 100 lb animal feed have 40% oats then amount of oats in the animal feed is given by,

Q: How many quarts of pure antifreeze must be added to 3 quarts of a 10% antifreeze solution to obtain…

A: Calculation:let x be the  required  amount of  pure antifreeze solution.Write a decimal equivalent…

Q: A tank initially contains 50 gallons of brine, with 30 pounds of salt in solution. Water runs into…

A: This question is related to differrential equations, We will solve it using given information.

Q: A solution of ethyl alcohol that is 75% alcohol by weight is to be used as a bactericide. The…

A: Consider the provided information, Let x is grams of water and y is grams of 95% ethyl alcohol. So,…

Q: You invested $10,000 in two accounts paying 5% and 8% annual interest, respectively. If the total…

A:

Q: A 20 LITER MILK CONTAINS 2%BUTTERFAT HOW MANY LITERS OF BUTTERFAT BE ADDED TO PRODUCE A MIXTURE…

A: 2% of 20 lts = 2100x20                      = 4/10                      = 0.4 lts

Q: How many quarts of pure anti freeze must be added to 6 quarts of a 10% anti freeze solution to…

A: Let x denote the amount of pure antifreeze that must be added to 6 quarts of a 10% antifreeze…

Q: A bottle contains 400 mL of fruit punch with a concentration of 50% pure fruit juice. Jill drinks…

A: A bottle contains 400 mL of fruit punch with a concentration of 50% pure fruit juice. Jill drinks…

Q: How many gallons of milk containing 1% fat is mixed with milk containing 4% fat to obtain a 15…

A: A mixture word problem is solved by setting up the corresponding mathematical model. If x amount of…

Q: A candy distributor needs to mix a 30% fat-content chocolate with a 60% fat-content chocolate to…

A: Explanation of the answer is as follows

Q: How many quarts of pure antifreeze must be added to 4 quarts of a 30​% antifreeze solution to obtain…

A:

Q: A chemistry teacher needs to mix a 40% salt solution with a 80% salt solution to make 20qt of a 50%…

A: Let the required amount of 40% salt solution be x quarts.

Q: How many gallons of a 57% salt solution do we need to mix with 120 gallons of a 30% salt solution so…

A:

Q: A nurse mixes 60 cc of a 50% saline solution with a 10% saline solution to produce a 25% saline…

A: Let us assume that, x amount of 10% solution used.  60 cc = 50% solution  x = 10% solution  When we…

Q: A chemist needs 60 milliliters of a solution that is 45% acid but has only 35% and 65% solutions…

A: Consider the needed amount is 60 ml of the 45% of the solution and the available amount is 35% and…

Q: The manager of a gardening center needs to mix a plant food that is 13% nitrogen with one that is…

A:

Q: How many pounds of lean hamburger that is 7% fat must be mixed with 12 pounds of ground chuck that…

A: 12 pounds of ground chuck having 20% fat is mixed with lean hamburger that is 7% fat

Q: A chemist needs to mix a 12% acid solution with a 20% acid solution to obtain 160 ounces of a 15%…

A: Given: A chemist needs to mix a 12% acid solution with a 20% acid solution to obtain 160 ounces of a…

Q: A photographer wants to mix 4 liters of a 6% acetic acid solution with a 10% solution to get a 7%…

A: Let x be the amount of 10% solution required.So, according to question:0.06(4) + 0.1x=0.07(x+4)

Q: How many quarts of pure antifreeze must be added to 6 quarts of a 30​% antifreeze solution to obtain…

A: Definition used-   Word problem with one unknown – First we write the equation in terms of an…

Q: A chemist has three acid solutions at various concentrations. The firs is 10% acid, the second is…

A:

Q: A bakery increased their weekly sales of loaf bread by 20%.They now sell 240 of loaves.How many did…

A: Percentage is ratio which is expressed as a fraction of 100. The symbol % is used to denoted…

Q: One and one half ounces of a medication are required for a 140 pound adult. At the same rate, how…

A: Given  Medication required for 140 pound adult = 1.5 ounces Let the medication required for 238…

Q: A laboratory assistant wants to make 10 liters of 40% acid solution. If solutions of 50% and 25% are…

A: Given: 50% and 25% solution of acid are available in the laboratory We have to make 40% acid…

Q: One and one half ounces of a medication are required for a 160-pound adult. At the same rate, how…

A:

Q: One liter of a 25% sugar solution is mixed with 3 liters of 40% sugar solution. What is the…

A: The percentage amount of the solute in the solution determines the relative amount of the solute.…

Q: What amount of a  60% acid solution must be mixed with a 30% solution to produce  300 mL of a 50%…

A: To determine the amount of the 60% of the acid solution.

Q: A chemist must mix 10L of a 40%acid solution with some 70% solution to get a 50% solution. How much…

A: A chemist must mix 10L of a 40%acid solution with some 70% solution to get a 50% solution. Let x L…

Q: A photographer wants to mix 2 liters of a 5% acetic acid solution with a 10% solution to get a 7%…

A: Let x be required amount of 10% solution.

Q: How many cups of pure water should be mixed with 6.5 cups of a 30% acid solution to dilute it into a…

A: Given    6.5 cups of 30% acid solution to dilute it ito a 2% acid solution.

Q: To make low-fat cottage cheese, milk containing 4% butterfat is mixed with milk containing 1%…

A: To find the number of gallons of each milk must be used.

Q: How many liters of pure water should be mixed with a 4​-L solution of 60​% acid to produce a mixture…

A: Let x be a liter of water to add to produce a solution that is 80% water Therefore, 40%4=401004=1.6…

Q: A chemist needs to mix an 18% acid solution with a 45% acid solution to obtain 12 liters of a 36%…

A: Consider x is the amount of 18% solution, that is 18% of x =18100×x=0.18x So according to the…

Q: You invested $26,000 in two accounts paying 8% and 9% annual interest, respectively. If the total…

A:

Q: A pharmacist wants to mix a 30% saline solution with a 10% saline solution to get 200 mL of a 12%…

A: Let x be the amount of 30% saline solution and y be the amount of 10% saline solution.

Q: How many gallons of pure alcohol should be added to 40 gallons of a 25% alcohol to obtain a mixture…

A: Explanation and solutions is given below....

Q: A concert promoter needs to take in $380,000 on the sale of 16,000 tickets. if the promoter charges…

A:

Q: How much water must be evaporated from 240 mL of a 10% salt solution to produce a 25% salt solution?

A:

Q: How much water must be evaporated from 64 ounces of a 2% salt solution to make a 10% salt solution?

A: Total water=64 ounces

Q: Alexis is traveling by train to a vacation spot that is 810 miles away. The train is traveling at 90…

A: We have to find the time taken in hours by Alexis to reach her destination from her current position…

Q: What amount of a 60% acid solution must be mixed with a 35% solution to produce 300 mL of a 55%…

A:

Q: A laboratory has a solution that contains 9 ounces of benzalkonium chloride. If this is 15% of the…

A: Given that, a solution contains 9 ounces of benzalkonium chloride.Find the total solution, if given…

Q: What quantity of a 70% acid solution must be mixed with a 40% solution to produce 150 mL of a 60%…

A: Given.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.