Questions on Word Problems: Mixtures answered by real tutors!

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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(57203)

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(57203)

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(57203)

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(57203)

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(57203)

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(57203)

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(57203)

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(57203)

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)

Question 26732: I can't figure out how to set this problem up. "One type of antifreeze is 40% gylcol and another type of antifreeze is 60% gylcol. How much of each kind should be used to make 100 gallons of antifreeze that is 48% glycol." Help please. Thanks.
Click here to see answer by Paul(988)

Question 26777: i dont get how to set the problem up. once i get the problem set up, i can do it. please help?
Your chemistry teacher asks you to mix 20% acid solution with 50% acid solution to obtain 12 ounces of 30% acid solution. how much of each must you use?
Click here to see answer by Paul(988)

Question 26782: i dont get how to set the problem up. once i get the problem set up, i can do it. using X and Y. and two equations. i need help! please?
Your chemistry teacher asks you to mix 20% acid solution with 50% acid solution to obtain 12 ounces of 30% acid solution. how much of each must you use?
Click here to see answer by bmauger(101)

Question 26968: Need help with Algebra word problem.
A science teacher has a 2 pint solution of 3% sulfuric acid. She needs to get a solution of 4% sulfuric acid. She only has a solution of 10% sulfuric acid to add to the 3% sulfuric acid. How much 10% sulfuric acid would she have to add to the 3% sulfuric acid to get the needed 4% solution.

Click here to see answer by Paul(988)

Question 27017: A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that he has 25 too few characters. Find the number of characters used by the designer.
Um so yeah where in the world do i begin with this? I've been racking my brain and can't seem to get an answer...HELP!
Click here to see answer by venugopalramana(3286)

Question 27019: I need help on a mixture problem, I have tried to set the problem up, but these (percents) mess me up. How many oz. of an 8% alcohol solution must be mixed with a 12% alcohol sloution to obtain 100 oz. of a 12.2 alcohol solution?
I think it is 12.2(100)-.08x = .12(100=x), but i can't get it to work out into an answer I have to chose from.
Click here to see answer by josmiceli(9645)

Question 27063: Andrea is shopping at a bulk store. She needs to buy flour, sudar and salt. She needs twices as much flour as sugar and tic as musch sugar as salt. She plans to buy a total of 10.5 pounds of flour, sugar and salt combined. Flour is $1.20 a pound, sugar is $2.30 a pound, and salt is $.68 a pound. How much of each item will she need to buy and how much will it cost?
Click here to see answer by mbarugel(146)

Question 27140: Chas has some 12% acid solution and some 32% acid solution. Determine how much
of each he needs in order to get 40ml of a 20% acid solution.
I tried setting up the problem like this: .12(x)+ .32(x)=.2(40) but i didn't
get the answer right
Click here to see answer by AnlytcPhil(1276)

Question 27141: Mitchell has 10ml of a 30% saline solution, determine how much water he should add to get a 16% saline solution.
I set the problem up like this: .3(10+X)+x=.16(10+x)but i got the answer wrong. THe answer is 8.75ml of water but i don't know how to get to the answer correctly
Click here to see answer by Paul(988)

Question 27195: colette has some 8% acid to which she adds 10 liters of 20% acid to get a 15% acid solution determine how much 8% acid she needs.
Click here to see answer by Paul(988)

Question 27219: How much pure salt must be added to to 25 grams of a 12% salt solution to make it a 20% solution. I am having a very hard time trying to figure this problem out. Thanks for your help.
Dennis
Click here to see answer by Paul(988)

Question 27547: How many pounds of candy worth $3.60/pound must be added to 10 pounds of chocolate worth $2.40/pound to form a mixture worth $3.30/pound?

Click here to see answer by Paul(988)

Question 27555: Joe invested a portion of his $15000 at a 10% annual interest and the rest at 6% annual interest. if his investment earned $1260 for the year, how much did he invest at each rate?
Click here to see answer by mbarugel(146)

Question 27604: A machine requires four hours to make a unit of Product A and three hours to make a unit of product B. Last month the machine operated for 200 hours producing a total of 60 units . How many units of Product A were produced
Click here to see answer by Paul(988)

Question 27788: How many kilograms of zinc that is 33% pure should be mixed with 12 kilograms of alloy that is 45% pure to make an alloy that is 39% pure zinc?
Click here to see answer by Paul(988)

Question 27791: I NEED HELP SOVING THIS PROBLEM. I KEEP COMING UP WITH NEGATIVE ANSWER.
HOW MUCH WATER SHOULD BE ADDED TO 30 GALLON OF A SOLUTION THAT IS 70%ANTIFREEZE IN ORDER TO GET A MIXTURE THAT IS 60%ANTIFREEZE
I CAME UP WITH -48
PLEASE HELP ME SOLVE THANK YOU
Click here to see answer by Paul(988)

Question 27794: Tin that was 48% pure was melted together with tin that was 44% pure to make 20 kilograms of an alloy that was 45% pure. How many kilograms of each were used? How do you set it up?
Click here to see answer by Paul(988)

Question 27934: Soybean meal is 16% protein. Corn meal is 10% protein. How much of each type should be mixed to bet a 15-lb mixture that is 12% protein?
Click here to see answer by Paul(988)

Question 27951: Please Help...I am totally confused!
A $120 coat goes on sale for $96. By what percent was the coat discounted?
The answer is suppose to be 20% but i can't figure out how to get it...help would be GREATLY appreciated! Thanks!♥
Click here to see answer by bmauger(101)

Question 28133: HEY! I am having a TON of problems w// Percent problems...could someone please help me?!? I have literally no clue what i am doing! Thanks♥♥!
The number of paid subscribers to The Wildlife Monthly has declined from 3340 people to 2430 people. What is the percent of decrease?
Thanks for the help!
♥Jenna♥
Click here to see answer by longjonsilver(2297)

Question 28294: How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to get a 40% solution of acid?
Click here to see answer by Paul(988)

Question 28328: Mariel mixed 3 cups of red paint with 2 cups of yellow paint to make orange paint. If she has 7 cups of red paint, how many cups of yellow paint does she need to get the same shade of orange?
Click here to see answer by imthebestdude(2)

Question 28329: An isosceles triangle has two sides that measure 2 inches and one side that measure 3 inches.A similar isosceles triangle has two sides each 8 inches long.What is the length of the third side?
Click here to see answer by rabbitman11(2)

Question 28327: A recipe for gravy calls for 1/2 cup of flour for every 2 cups of water.How many cups of flour would be needed if 5 cups of water were used?
Click here to see answer by rabbitman11(2)

Question 28411: Please HELP me!! I am TOTALLY confused! Here is the problem♥:
Franklin can do a job in 6 h and Mike can do it in 4 h. What part of the job can they do by working together for 2 h? for y h?
♥Thanx sOo much♥
Click here to see answer by venugopalramana(3286)

Question 28487: Thirty pounds of dried fruit mix contained apples worth $3.15 a pound and pears worth $4.25 a pound. How many pounds of each did the mix contain if the value of the mix was $107.70?
Click here to see answer by josmiceli(9645)

Question 28536: I am having the worst time with mixture word problems. I am in College Algebra and this is my question.
---A chemist needs 170 milliliters of a 21% solution but has only 3% and 37% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
I used x= the 3% solution and y= the 37% solution.
I set it up as
I don't think that is right, but that is what I came up with. Thank you so much for your help.

Click here to see answer by Paul(988)

Question 28521: what is the meaning of ALGEBRA?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28569: PLEASE HELP ASAP: Ziggy's famous yogurt blends regular yogurt that is 3% fat with its no fat yogurt to obtain low fat yogurt that is 1% fat. How many pounds of regular and how many pounds of non-fat yogurt should be mixed to obtain 60 pounds of lowfat yogurt.
PLEASE HELP ASAP. thank you
Click here to see answer by venugopalramana(3286)

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