In the tank that is not fully filled is 88% acid. The rest of the tank is filled with 24% acid. After mixing, the same amount that has been filled is taken from the tank. The rest of the tank is filled with 24% acid again. The mixture in the tank is 73% acid. What percentage of the tank was filled at the beginning?

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Q: A butcher has some hamburger that is 23% fat and some that is 16% fat. How many pounds of each…

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Q: Two friends have built a lemonade stand, and they plan to start out by selling 24 liters of lemonade…

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

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Q: . How many liters of 5% alcohol solution and 9% alcohol solution must be mixed to obtain 200 liters…

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A: Given information:

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Q: A container of yogurt has 130 calories per serving. If there are 5 servings in the container, and…

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Q: How many gallons of 20% alcohol solution and 45% alcohol solution must be mixed to get 15 gallons of…

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Q: A chemist has two alloys of bronze, one that is 12% tin and 88% copper, and a second that is 10% tin…

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Q: Fifty ounces of pure grapefruit juice are added to 25oz of a fruit punch that is 10% grapefruit…

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Q: A farmer has two types of milk, one that is 20% milkfat and one that is 12% milkfat.  How much of…

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Q: The area of Norway is 24% more than the area of Colorado, so Norway's area is what percentage of…

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

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Q: At a birthday party, there is a 750 g chocolate cake and a 600 g carrot cake. At the party, 50% of…

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Q: If 1t of watermelons consist of 94% of water, how much weight the same number of watermelons when…

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Q: A recipe uses 5 cups of milk to make 10 servings. If the same amount of milk is used for each…

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Q: To make low-fat cottage cheese, milk containing 4% butterfat is mixed with 16 gallons of milk…

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Q: A paint mixture contains 8 drops of green and 12 drops of blue for a total of 20 drops.  What…

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Q: contains 15 litres of lemonade that was made with 2 parts water and 3 parts lemon juice  how much…

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Q: A chemical company makes two brands of antifreeze. The first brand is 60% pure antifreeze, and the…

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Q: how many liters of a 20% acid solution must be mixed with 15 liters of a 60% solution to create 40…

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Q: One canned juice drink is 15​% orange​ juice; another is 10​% orange juice. How many liters of each…

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Q: One canned juice drink is 30% orange juice; another is 5% orange juice. How many liters of each…

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Q: How much alcohol must be added to 24 gallons of a 14% solution of alcohol in order to produce a 20%…

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Q: A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive…

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Q: A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive…

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Q: How many grams of fat does one serving of the low fat yogurt contain?

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Q: A cupcake recipe requires 3/4 tablespoons of vanilla. If you make 1/2 a batch, how much vanilla do…

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Q: A chemist has two alloys, one of which is 5% gold and 10% lead and the other which is 20% gold and…

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Q: How many gallons of 24% butterfat cream must be mixed with 500 gallons of 3% butterfat milk to…

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Q: You have 2 empty unmarked jugs: an 8 liter and a 3 liter. Using those jugs and a water faucet, how…

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Q: Forty-five ounces of pure grapefruit juice are added to 30oz of a fruit punch that is 10% grapefruit…

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Q: A coin bank containing only dimes and quarters has 26 more dimes than quarters. The total value of…

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

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Q: A farmer has some cream which is 21% butterfat and some which is 15%butter fat. How many gallons of…

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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.