Questions on Word Problems: Mixtures answered by real tutors!

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Question 23077: Matthew owns a specialty coffee shop.He wants to create a special mix using two coffees,one priced at $6.40 per pound and the other priced at $7.28 per pound. How many pounds of the $7.28 coffee should he mix with 9 pounds of the $6.40 coffee to sell the mixture for $6.95 per pound?
Click here to see answer by Paul(988)

Question 23092: x-6 > 3x+5
Click here to see answer by stanbon!(97)

Question 21619: A chemist needs 10 liters of a 50% salt solution. All she has available is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to obtain her desired solution?
Click here to see answer by venugopalramana(3286)

Question 21991: How would I go by solving for the correct pound? Star Cups, a specialty coffee store, creates a special mix of two coffees at two different prices: $6.42 and $7.28 per pound each. How many pounds of the $$7.28 coffee should be mixed with 7 pounds of $6.42 coffee to sell the mixture for $7.20 per pound?
Click here to see answer by rapaljer(4667)

Question 23380: Please give me some examples of Mixtures Problems. I really need it now.

Click here to see answer by venugopalramana(3286)

Question 20900: A certain quantity of gas, when compressed to a volume of 0.82 m^3 has a pressure of 76Pa. Find the pressure of the gas when it is compressed to 0.55. Assume a constant temperature.
Click here to see answer by venugopalramana(3286)

Question 23493: I really need help with this one. A chemist wants to combine a solution that is 30% glycerin with pure 100% glycerin. He wants to produce 42 milliliters of a solution that is 50% glycerin. How much of the 30% solution and how much of the pure glycerin should the chemist use? Thank you so very much for your help!
Click here to see answer by longjonsilver(2297)

Question 23839: A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The sterilization tank contains 100 gal of a solution of 2% ordinary household bleach mixed with pure distilled water. New research indicates that the concentration of bleach should be 5% for complete sterilization. How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level?
Thank you.
Click here to see answer by Paul(988)

Question 23844: A jeweler has five rings, each weighing 18 g, made of an alloy of 10% silver adn 90% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 75%. How much silver should he add?

Click here to see answer by Paul(988)

Question 24050: Angela needs 20 quarts of 50% antifreeze in her radiator. She plans to obtain this by mixing some pure antifreeze (100%) with an appropriate amount of a 40% antifreeze solution. How many quarts of each should she use?
Click here to see answer by Earlsdon(6287)

Question 24049: How many gallons of milk containing 1% butterfat must be mixed with 30 gallons of milk containing 3% butterfat to obtain a mixture containing 2% butterfat?
Click here to see answer by Paul(988)

Question 24108: What I have is a money mixture - I can't remember how to figure it. The problem is John has a change jar which he empties occasionally. This time he has all nickels and dimes. He has nine times as many dimes as nickels, and the value of the dimes equals $5.10 more than the value of the nickels. How many dimes and nickels does John have. I have two equations, 9d=n or d=n+$5.10 we are supposed to use a method of substitution or similar to solve. Please help! Three people here, and no clues. - Nicky
Click here to see answer by rapaljer(4667)

Question 24109: Train A leaves a station traveling at 20 miles per hour. Eight hours later train B leaves the same station traveling in the same direction at 30 miles per hour. How long does it take for train B to catch up to train A ?
Click here to see answer by Paul(988)

Question 24115: A juice drink manufacture has found mixing pineapple juice concentrate and fresh squeezed orange juice is the most cost effective way to produced its breakfast beverage. The pineapple juice comes in two concentrated forms,21% and 70% pineapple juice, which must be combined into a solution that can be mixed with the orange juice. If 5o gallons of 21% juice is used, how many gallons of the 70% juice must be used to obtain a 60% pineapple juice solution?
Click here to see answer by Paul(988)

Question 24135: How many pounds of coffee beans selling for $2.00 per pound should be mixed with 6 pounds of coffee beans selling for $2.80 per pound to obtain a mixture selling for $2.48 per pound.
Click here to see answer by Earlsdon(6287)

Question 24136: How many gallons of a 70% salt solution must be mixed with 60 gallons of a 18% solution to obtain a solution that is 60% salt?
Click here to see answer by kev82(148)

Question 24149: Richard's average driving speed is 4 miles per hour faster than Kirk's. In the same lenght of time it takes Richard to drive 275 miles, Kirk only drives 255 miles. What is Richard's average driving speed?
Click here to see answer by Paul(988)

Question 24377: How many pounds of coffee beans selling for $ 1.20 per pound should be mixed with 6 pounds of coffee beans selling for $2.00 per pound to obtain a misture selling for $1.68 per pound?
Click here to see answer by AnlytcPhil(1276)

Question 24528: I set up a table for this question, but the numbers I got were too big to be right.
Here is the problem:
A candy mix is being prepared by mixing candy that is worth $12 per pound with candy that is worth $15 per pound. The candy store wants to have 120 pounds of this mixture which will sell for $13.75 per pound. How many pounds of each type of candy should be used?
Find the number of pounds @$12 and @$15.
I made a table with x and y representing the # of lbs. With 120lbs. as the total. 12 and 15 as the price per pound and 13.75 for the total price per pound.
In the third boxes of my table I wrote 12x, 15x, and 120(13.75)=1650.
Then I wrote the equation: 12x+15y=1650
(here is where I get lost)
I then did: 12(120-y)+y=1650
= 1440-12y+y=1650 = 1440-11y=1650
I subtracted 1440 from both sides to isolate the variable and came up with:
-11y=210
then I divided -11y and 210 by -11= y= -19.09
and then I solved for x by: 120-19.09= 100.91 x=100.91!!!!
I KNOW THIS IS TOTALLY WRONG, BUT THERE IS NOT ANYTHING IN MY TEXT BOOK TO SHOW ME HOW TO SOLVE THIS PROBLEM!!!! PLEASE HELP!! THIS HOMEWORK IS DUE BY 01/17/06
HELP WILL BE GREATLY APPRECIATED! :)
Click here to see answer by Earlsdon(6287)

Question 24730: How many gallons of a 30 percent alcohol solution must be mixed with 10 gallons of a 50 percent alcohol solution to make a 40 percent alcohol solution? The equation is ((( Amount x Concentration = Quantity)))
Click here to see answer by Paul(988)

Question 24767: If someone could help me with this I would appreciate it. It is a mixture problem that I have set up a table for and for some reason I can't get it. The book gives the hint that "water is 0% insecticide" which makes sense, but I still can't get it.
How much water must be added to 6 gallons of a 4% insecticide solution to reduce the concentration to 3%.
Thanks for your assistance!
Click here to see answer by Paul(988)

Question 24813: How many gallons of a 10% salt solution must be mixed with 20 gallons of a 25% salt solution to produce a 20% salt solution?
Click here to see answer by Paul(988)

Question 25030: How many liters of 40% solution must be added to 40 liters of 50% solution to produce a 40% solution?
Click here to see answer by Paul(988)

Question 25090: ten liters of a 4% acid soluttion must be mixed with a 10% solution to get a 6% solution how many liters of the 10% solution are needed?
Click here to see answer by Paul(988)

Question 25157: Anne and Nancy use a metal alloy that is 21% copper to make jewelry. How many ounces of 19% alloy must be mixed with a 25% alloy to form 78 ounces of the desired alloy?
Click here to see answer by wuwei96815(245)

Question 25177: An automobile cooling system currently has 20 quarts of a 35% antifreeze solution. The manufacturer recommends the systme be filled with a 50% antifreeze solution. How much of the 35% soulution must be drained off so that when replaced by pure antifreeze, the system contains the recommended 50% solution?
Click here to see answer by AnlytcPhil(1276)

Question 25271: Bea Kurr is hired by the local chemical plant to create mixtures for use in various labs at the chemical plant. On Bea's first day on the job she finds 20 liters of 12% boric acid and only 32 liters of 20% boric acid. Bea's new boss wants exactly 30 liters of an 18% solution. How many liters of the 12% solution should she use to get exactly 30 liters of 18% solution?
Click here to see answer by Paul(988)

Question 25354: a grocer mixes 5 pound of egg noddels costing $.80 per pound with 2 pounds of spinach noodles costing $1.50 per pound. What is the cost per pound of the mixture.
Click here to see answer by josmiceli(9664)

Question 25562: Game wardens use experiments to help determine the number of fish in a lake. Suppose 60 fish are caught, tagged, and released back into the lake. Two weeks later, 60 fish are caught, of which 3 are found to have tags. Using this information, estimate the number of fish in the lake
Click here to see answer by rapaljer(4667)

Question 25569: Find the measure of an angle if its measure is 9 degrees less than eight times the measure of its supplement
Click here to see answer by stanbon(57277)

Question 25568: The radiator of an automobile already contains 12 quarts of a 10% solution of alcohol. HOw much alcohol must be added to make a mixture of 20% alcohol? How much alcohol must be added to make a mixture containing 25% alcohol. I would really appreciate it if someone could help me
Click here to see answer by stanbon(57277)

Question 25563: i am not getting mixture problems so can someone help me. the question is The radiator of an automobile already contains 12 quarts of a 10% solution. How much alchohal must be added to make a mixture of 20% alcohal. How much alcohol must be added to make a mixture containing 25% alcohal. I would appreciate it so much if someone could help
Click here to see answer by josmiceli(9664)

Question 25585: A pharmacist has 4 quarts of a 15% solution of iodine. How much alcohal must he add to reduce it to a 10% solution. This would again help me tons.
Click here to see answer by longjonsilver(2297)

Question 25639: Suppose you have a 9 quart container and a 4 quart container. How can you obtain exactly 6 quarts of water in the large container?
Click here to see answer by mewtwo1(3)

Question 25657: We tried using a sample on the site, but we keep getting a negative answer! Help!
How many kilograms of pure salt must be added to 20 kilograms of a 10% salt solution to obtain a 25% salt solution?
Click here to see answer by Paul(988)

Question 25634: A chemist has 6 L of a solution that is 8% salt, How much water should be evaporated so that the solution that remains is 40% water?
Click here to see answer by Paul(988)

Question 25598: A chemist has 300 milliliters (mL) of solution that is 18% acid. How many milliliters of acid are in the solution?
Click here to see answer by pwac(253)

Question 25571: At the same time of day, a man who is 57.8 inches tall casts a 66.3 inch shadow, and his son cast a 39 inch shadow. What is the height of the man's son?
Click here to see answer by mike69(9)

Question 25767: After getting a 15% discount on the price of a new Chrysler Sebring convertible, Hellen paid $ 27,000. What was the original price of the convertible?
Click here to see answer by Earlsdon(6287)

Question 25766: Hellllllpppppppp
On Monday, Archie paid $2.54 for three doughnuts and two coffees. On Tuesday he paid $2.46 for two doughnuts and three coffees. On Wednesday he was tired of paying the tab and went out for coffeeby himself. What was his bil for one doughnut and one coffee
Click here to see answer by Paul(988)

Question 25796: Milk that is 4% butterfat is mixed with milk that is 1% butterfat to obtain 18 gallons of milk that is 2% butterfat. How many gallons of each type of milk are needed?
I don't even know where to start, PLEASE HELP!!!!!
Click here to see answer by Paul(988)

Question 25903: A customer has asked a caterer for 60lb of nuts, 60% of which are to be cashews. The caterer have available mixtures of 70% cashews and 45% cashews. How many pounds of each mixture should be used?
Click here to see answer by Paul(988)

Question 25921: Ooops. I just asked one question and was looking at the other problem. Sorry.
Here is the correct question and the way I set it up.
60 fluid ounces of a 15% muriatic acid solution is needed to kill algae in a pool. If the technician has a 5% solution and a pure solution on hand, how many ounces of each must be combined to create the 15% solution?
I don't even know how I would set this one up, I know I am supposed to be seeing a pattern on how to set mixture problems up, but I keep putting the wrong numbers in the wrong places.
Thanks for your help.
Donna
Click here to see answer by longjonsilver(2297)

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