A storage tank contains 120 liters of fuel which is 3% oil (and 97% gasoline). How many liters of oil should be added for use in an engine that requires a 10% oil mixture?

Q: A chemical company makes two brands of antifreeze. The first brand is 35% pure antifreeze, and the…

A: Solution Concentrations: A solution is usually described in terms of the amount of a substance…

Q: How much of a 70% orange juice drink must be mixed with 44 gallons of a 20% orange juice drink to…

A: Let x gallons of 70% orange juice drink must be mixed with 44 gallons of a 20% orange juice drink to…

Q: A store owner wants to sell 200 pounds of pistachios and walnuts mixed together. Walnuts cost 4…

A: Let x pounds of Pistachios is mixed with y pounds of Walnuts.

Q: With 2.4 mil subscribers, a top- ranked magazine has 1140% more digital subscribers than a magazine…

A: Suppose, the magazine ranked third has x million subscribers Therefore, the top-ranked will have…

Q: A high-protein diet supplement that costs $6.75 per pound is mixed with avitamin supplement that…

A: Let x lb of high-protein diet supplement and (5-x) lb of vitamin supplement were mixed.  The…

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

A: Let x and y be the quantity of 5% alcohol solution and 9% alcohol solution respectively.By using the…

Q: To make low-fat cottage cheese, milk containing 5% butterfat is mixed with 18 gallons of milk…

A: Given information:

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

A:

Q: In order to prepare some liquid medicine properly you need to mix 32 ML of liquid antibiotics with…

A:

Q: A chemist wishes to make 100 liters of 3% acid solution by mixing a 2% solution with a 5% solution.…

A: Let amount of 2% solution be x and amount of 5% be y. As we know we have to make 100 liters of…

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: A candy distributor needs to mix a 40% fat-content chocolate with a 60% fat-content chocolate to…

A: Given: Two types of chocolates one with 40% fat content and the other one with 60% fat content…

Q: A jeweler needs to mix an alloy with a 16% gold content and an alloy with a 28% gold content to…

A: Consider a and b as the amount of an alloy with 16% gold content and 28% gold content, respectively.…

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 garden store sells Kentucky bluegrass seed for $7 per pound and ryegrass seed for $2 per pound.…

A: It is given that bluegrass seed is sold for $7 per pound and ryegrass seed is sold for $2 per pound.…

Q: A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the…

A:

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

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

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

A: Let x gallons of first brand and (150-x) gallons of second brand be used  to obtain 150 gallons of a…

Q: A chemist needs to mix a 12% acid solution with a 32% acid solution to obtain an 8‐liters mixture…

A:

Q: A merchant wishes to mix peanuts costing $3 per pound with cashews costing $8 per pound to obtain 60…

A: Let peanut x pound and cashew y pound

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 merchant wishes to mix peanuts costing $1.85 per pound with raisins costing $1.30 per pound to…

A: Let assume total amount of of peanut = x And total amount of raisins = y Given that  merchant wishes…

Q: A 12-ton mixture consists of one-sixth sand, two-sixths gravel, and one-half cement. If x tons of…

A:

Q: A grocer mixes two kinds of nuts that cost $3.88 per pound and $4.88 per pound, to make 100 pounds…

A:

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

A:

Q: One bag of potting soil contains 8 quarts of soil. How many clay pots can be filled from one bag of…

A: We have to find that how many clay pots can be filled from one bag of potting soil. Given - 1 bag of…

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

A: Let x gallons of the fattier milk should be used.

Q: How much of a 90% orange juice drink must be mixed with 12 gallons of a 40% orange juice drink to…

A: To be found : Amount of a 90% orange juice drink must be mixed with 12 gallons of a 40% orange juice…

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

A: Let us call x = the amount of 60% pure antifreeze  Then, 30 - x = amount of 85% antifreeze  All…

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: The Coffee Counter charges $7 per pound for Kenyan French Roast coffee and 6$ per pound for Sumatran…

A:

Q: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a latge…

A: Given: The combined weight of a large box and small box = 85 pounds Number of large boxes = 55…

Q: The Coffee Counter charges $11 per pound for Kenyan French Roast coffee and $10 per pound for…

A: Given, The Coffee Counter charges $11 per pound for Kenyan French Roast coffee and $10 per pound for…

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

A:

Q: How many gallons of a 4% salt solution must be mixed with 75 gallons of a 6% solution to obtain a 5%…

A:

Q: A chemical company makes two brands of antifreeze. The first brand is  35% pure antifreeze, and the…

A: To work out the amounts of the two components (brands) satisfying the given data

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: A chemical company makes two brands of antifreeze. Brand A is 45% pure antifreeze and brand B is 70%…

A: Consider the given question,Let x = Amount of 45% antifreezeAnd, y = Amount of 70%…

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

A:

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

A: Let they will need x  gallons of premium antifreeze solution.So they must have (170-x) gallons of…

Q: A brand of coffee beans cost 150 pesos per kilo, while the premium coffee beans cost 675 pesos per…

A: mixtures

Q: A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $7 a pound…

A: Assume x = lbs. of coffee at $7 per lb.   Now let's write an equation the cost of mixing the $7 per…

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

A:

Q: A photographer wants to mix 4 liters of a 7% acetic acid solution with a 12% solution to get a 9%…

A: Let x be the volume of the 12% solution.

Q: A jeweler needs to mix an alloy with a 16% gold content and an alloy with a 28% gold content to…

A: A jeweler needs to mix an alloy with a 16% gold content and an alloy with a 28% gold content to…

Q: A coffee company wants a new flavor of Cajun coffee . How many pounds of coffee worth $7 a pound…

A:

Q: A sugar molecule has twice as many atoms of hydrogen as it does oxygen and one more atom of carbon…

A: let the number of molecules of oxygen be x  Then the number of molecules of oxygen will be 2x and…

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

A:

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

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.