Questions on Word Problems: Mixtures answered by real tutors!

Tutors Answer Your Questions about Mixture Word Problems (FREE)

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(6294)

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(151)

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(1806)

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(6294)

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(1806)

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(19441)

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(4671)

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(75887)

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(75887)

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(19441)

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(6294)

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)

Question 25925: Here is a mixture problem. I must have a mental block against work problems because I never under stand how to set them up. I know mixture problems have to same formula to work them out, but I keep getting the numbers in the wrong places. Thanks for any help. Any suggestions would be great!!!
Mean Melinda's radiator only has 1.5L in it and it is only 33 1/3% anti-freeze. The manufacturer recommends that the radiator be filled with 4L of 50% antifreeze. How much antifreeze and how much water must Melinda add to her radiator to meet the manufacturer's specifications?
I say just take it to Jiffy lube!!!
Can you please help me?
Donna
Click here to see answer by longjonsilver(2297)

Question 25939: a factory has a weak 1% acid solution and a stronger 25% acid solution. if you need to make 2000ml of 5% acid solution to perform a certain cleaning task, how many liters of each should you use?
antifreeze a is 15% alcohol. antifreeze b is 10% alcohol. how many liters of each should be mixed in order to get 20 liters of a mixture that is 18% alcohol?
Click here to see answer by Paul(988)

Question 25946: i am not getting this question
when mixing a 2% acid solution with a 10% acid solution what was the range of possible percents for the resulting mixture?
Click here to see answer by longjonsilver(2297)

Question 26064: WE HAVE 5ML OF 80% ACID WE NEED TO DILUTE IT WITH 2% ACID TO GET 10%. HOW MUCH 2%DO WE NEED?
MARILYN WANTS TO COMBINE A 30% ALCOHOL SOLUTION WITH 50% ALCOHOL SOLUTION TO GET 500MG OF AN 80% ALCOHOL SOLUTION PLEASES HELP HER ACCOMPLISH THIS TASK?
Click here to see answer by stanbon(75887)

Question 26068: I don't think I set this problem up correctly, thought I would try...
Antifreeze A is 15% alcohol. Antifreeze B is 10% alcohol. How many liters of each should be mixed in order to get 20 liters of a mixture that is 18% alcohol?
I set it up like this:
.15X + .10X(20-X)= 20(.18)
I get confused on what to put in the parenthesis like the (20-X)
Thanks for you help.
Donna
Here is another one that I am stumped on:
We have 5 ML of 80% acid. We want to dilute it with 2% acid to get 10% acid. How much 2% do we need?
Thanks for any help you can give me.
Donna
Click here to see answer by stanbon(75887)

Question 26087: Okay, here it is:
We have 5mL of 80% acid. We want to dilute it with 2% acid to get 10% acid. How much 2% do we need? I tried to set it up, but can't seem to figure it out.
Thanks for any help you can give me.

Click here to see answer by stanbon(75887)

Question 26088: Crazy Chris has a 1% alcohol solution mix with a 12.5% alcohol solution. He wants 500 mL of 2.5% alcohol. How much of each does he need to mix?
LOst.
Click here to see answer by stanbon(75887)

Question 26094: Please help! Thank-you!
Have a mixture of chocolate covered pretzels & macadamia nuts. The pretzels sell for $3/pd. and the nuts $8/pd. How many pds. of the nuts should be mixed with 50pds. of the pretzels to make a mixture that would sell for $6/pd?
A text messaging plan for a cell phone w/unlimited messages for $5/per month or a plan that charges $2 for the first 30 messages and then 10 cents for each additional message. How many messages (above the initial 30) would you need to send or recieve to make buying the unlimited messages plan a better deal?
Click here to see answer by stanbon(75887)

Question 26124: I tried to do this problem by myself also, but I am getting a negative number. I am setting them up wrong, but not sure how to do it the right way.
Marvelous Marilyn wants to combine a 30% alcohol solution with a 50% alcohol solution to get 500 mg of an 80% alcohol solution. Please help her accomplish this task.
I set it up like this:
.30X + .50(500-X) = .80(500)
I am getting a negative number, so I know I did it wrong.
Thanks

Click here to see answer by Paul(988)

Question 26123: I tried this by myself, but it didn't work out. Here is the question and the way I set it up.
If Jolly Janet has 0.5% saline to mix with 7.5% saline, how much of each is needed to get 200L of 1.0% saline?
I set it up like this:
.005X + .075(200-X)=.001(200)
I know this is wrong, but could you tell me the correct way to set it up?
Thanks.
Click here to see answer by Paul(988)

Question 26176: Please Help
A forester mixes gasoline and oil to make 2 gallons of mixture for his two-cycle chain-saw engine. This mixture is 32 parts gas and 1 part two-cycle oil. How much gas must be added to bring the mix to 40 parts gas and 1 part oil.
Thanks
Click here to see answer by stanbon(75887)

Question 26484: A printing company has to print a document that conatins a total of 48,000 words. They have only two sizes of typeset to work with: large, 1800 words per page, and small, 2400 words per page. The customer wants to have as many pages with large type set as possible. The entire document cannot be more than 21 pages total. How many pages of large type can they print?
Click here to see answer by stanbon(75887)

Question 26510: A chemist mixes two solutions. One is 24% acid (the rest is water), and the other is 41% acid. About how much of each solution does she need to produce 50 gallons of a solution that is 31% acid? Answer to the nearest hudredth of a gallon.
Click here to see answer by Paul(988)

Question 26524: A woman wants to put a ladder against the wall of her house and climb up to fix the gutter. The gutter is 14 feet above the ground. Unfortunately, there is an 8 feet high retaining wall standing 3 feet away from her house. The ladder can�t be placed between the retaining wall and the house, so it must be placed on the outside of the retaining wall. The ladder will go over the retaining wall (it can touch it) and then up to the roof. How long a ladder does she need?
Click here to see answer by stanbon(75887)

Question 26577: I think I have the equation incorrect. Please help. A dairy has 400 quarts of whole milk containing 5% butterfat. How many quarts of low-fat milk containing 1.5% butterfat should be added tp produce 2% butterfat.
I have 5X+1(400-X)=400(2)
Click here to see answer by Paul(988)

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