Mixture Problems
Mixture problems are a fundamental aspect of mathematics, frequently encountered in various fields such as chemistry, finance, and engineering. They involve the blending of different components to achieve a desired mixture with specific properties. These problems require a strategic approach to determine the quantities or proportions of each component necessary to achieve the desired outcome. Understanding mixture problems is crucial for solving real-world scenarios involving solutions, compounds, or financial portfolios. By mastering the concepts and techniques involved in solving these problems, individuals can enhance their problem-solving skills and apply them to a wide range of practical situations.
Questions
- A School has 1025 students. A total of 400 students cannot swim. This consists of 1/5 of the boys and 4/7 of the girls. If x boys can swim, write an equation for x and solve it. How many boys are there in the school?
- Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 6 tickets for $40. How many of each type of ticket were sold?
- Your chemistry professor gives you a 5 gallon jar containing 2 gallons of 40% alcohol. He asks you to reduce the concentration to 25%. How much water must you add to the jar?
- At a fair, 500 pounds of mixed candy was sold for $192.50. If part of the candy was candy corn and was worth $0.35 per pound and the other part of the candy was candy pumpkins worth $0.40 per pound, how many pounds of each were in the mixture?
- Keil is going to make 13 pounds of mixed nuts for a party, Peanuts cost $3.00 per pound and fancy nuts cost $6.00 per pound. If Keil can spend $63.00 on nuts, how many pounds of each should he buy?
- How many quarts of milk containing 4% butter fat and how many quarts of cream containing 29% butter fat must be mixed to make 40 quarts of cream containing 20% butter fat?
- How many ounces of iodine worth 30 cents an ounce must be mixed with 50 ounces of iodine worth 18 cents an ounce so that the mixture can be sold for 20 cents an ounce?
- How many quarts of a solution half of which is acid must be added to 10 quarts of a solution one-fifth of which is acid to from a solution which is three-tenths acid?
- The owner of Snack Shack mixes cashews worth $5.75 a pound with peanuts worth $2.30 a pound to get a half-pound, mixed-nut bag worth $1.90, How much of each kind of nut is included in the mixed bag?
- How many pounds of peanuts that cost $0.70 per pound and cashews that cost $0.90 per pound can be combined to make 300 pounds of a mixture that will sell $0.75 per pound?
- How much of each chemical is needed to make 750 kg of the plant food, if a plant food is to be made from three chemicals and the mix must include 60% of the first and second chemicals, the second and third chemicals must be in a ratio of 4 to 3 by weight?
- A chemist needs to create a 25% citrus mixture by adding 20 mL of a 80% citrus solution to a 5% citrus solution. How much of each is needed?
- A grocer wishes to mix some nuts worth 90 cents per pound with some nuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound. How much of each should she use?
- Raoul received a $25 tip for waiting on a large party. This was $10 more than one-fourth of the tip the headwaiter received. How much did the headwaiter get for a tip?
- Jasmine is creating scrapbooks for 15 of her classmates. She has 210 pictures. If each scrapbook should have the same amount, how many pictures should she put in each one?
- How many liters each of 15% acid and 33% acid should be mixed to get 120 L of 21% acid?
- You are preparing tarts. Each tart shell consists of 3 ounces of flour. lf you prepare 40 tarts, how many pounds of flour do you need?
- A mixture of 30 liters of paint is 25% red tint, 30% yellow tint and 45% water. Six liters of red tint are added to the original mixture. What is the percent of red tint in the new mixture?
- A vat contains 250ml of wine.how many 750ml bottles can be filled from the vat?
- Is #(6,18)# a solution to #\frac { 2} { 3} x = \frac { 1} { 3} y - 2#?