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Tutors Answer Your Questions about Mixture Word Problems (FREE)


Question 28590: Phil has 30 ounces of a 60% sulfuric acid solution. How many ounces of 15% sulfuric acid solution should he add to obtain a solution that is 40% sulfuric acid?
Click here to see answer by Paul(988) About Me 

Question 28692: How much pure alcohol must a nurse add to 8cc of a 70% solution to strengthen it to a 90% solution? Just need to know if this is right and if not what is right.
.90(8)+ 0(x) = .70(x+8)
7.2 = .70x+5.6
1.6 = 70x
2.29c = x

Click here to see answer by venugopalramana(3286) About Me 

Question 28776: A pharmacist wishes to mix a solution that is 2% minoxidil. She has on hand 50 mL of a 1% solution, and she wishes to add some 4% solution to it to obtain the desired 2% solution. How much of the 4% solution should she add?
The equation that I got .5+.04(50+x)=.2(100+x)
I keep on getting a negative number.

Click here to see answer by Paul(988) About Me 

Question 28759: i have 2 questions I have been confused on
1) A pharmacist needs 500 milliliters of 20% phenobarbital solution but has only 5% and 25% phenobarbital solutions available. find how many milliliters of each he should mix to get the desired solution.


2) Rabbits in a lab are to be kept on a strict daily diet that includes 30 grams of protein, 16 grams of fat and 24 grams of carbohydrates. the scientist has only three food mixes available with the following grams of nutrients per unit.

Protein fat carbohydrate
mix A 4, 6, 3
mix B 6, 1, 2
mix C 4, 1, 12

Find how many units of each mix are needed daily to meet each rabbits dietary need.

Click here to see answer by stanbon(57984) About Me 

Question 28884: jaime has available a 10% alcohol solution and a 60% alcohol solution. Find how many liters of each solution he should mix to make 50 liters of a 40% alcohol solution
Click here to see answer by stanbon(57984) About Me 

Question 29149: A Candy Barrel shop manager mixes M%M's worth $2.00 per pound with trail mix worth 1.50 per pound. Find how many pounds of each she would use to get 50 pounds of party mix worth $1.80.
Click here to see answer by Paul(988) About Me 

Question 29324: Joanne makes a mixture of dried fruits by mixing dried apples costing $6.00/kg and dried apricots costing $8.00/kg. How many kilograms of each are needed to make 20 kg of a mixture worth $7.20/kg?
Click here to see answer by Paul(988) About Me 

Question 29323: A spice mixture is 25% thyme. How many grams of thyme must be added to 12 g of the mixture to increase the thyme content to 40%?
Click here to see answer by Paul(988) About Me 

Question 29301: A chemist has 40mL of solution that is 50% acid. How much water should be added to make a solution that is 10% acid?
Click here to see answer by bmauger(101) About Me 

Question 29332: How many liters of water must be evaporated from 20 L of a 30% salt solution to produce a 50% solution?
Click here to see answer by Paul(988) About Me 

Question 29330: A chemist wishes to mix some pour acid with some water to peoduce 16 L of a solution that is 30% acid. How much pure acid and how much water should be mixed?
Click here to see answer by josmiceli(9817) About Me 

Question 29329: If you drive 2 h at 80 km/h, how fast must you drive during the next hour in order to have an average speed of 75 km/h?
Click here to see answer by longjonsilver(2297) About Me 

Question 29333: A securities broker advised a client to invest a total of $21,000 in bonds paying 12% interest and in certificates of deposit paying 5 1/4% interest. The annual income from these investiments was $2250. Find out how much was invested at each rate.
Click here to see answer by josmiceli(9817) About Me 

Question 29475: I've tried and tried to do this problem with no success so here it is:
A solution of gasoline and oil used for a gas powered weed trimmer is 8% oil. How much gasoline must be added to 3 gallons of this solution to obtain a new solution that is 5% oil? I set it up like this but I know this is wrong.
0.08X + 0.05(3+x)= 0.05(3) It comes up to 0

Click here to see answer by josmiceli(9817) About Me 

Question 29578: How much water should a chemist add to 16 ounces of a 25% sulfuric acid solution to reduce it to a 10% solution?
Click here to see answer by ikdeep(226) About Me 

Question 29669: Mrs. Smith operates a soybean farm. She buys supplies in bulk. Often the bulk products need to be custom mixed before she can use them. To apply herbicide to a large field she must mix a solution of 67% herbicide with a solution of 46% herbicide to form 42 liters of a 55% solution. How much of the 67% solution must she use?
Click here to see answer by bmauger(101) About Me 

Question 29805: Help!
A chemist needs a solution of tannic acid that is 70% pure. How much distilled water must she add to 5 gallons of acid which is 90% pure to obtain 70% solution?

Click here to see answer by longjonsilver(2297) About Me 

Question 29942: How many litres of pure hydrochloric acid must be mixed with 3 liters of 20% hydrochloric acid to make 50% hydrochloric acid? Thanks for the help
Click here to see answer by Paul(988) About Me 

Question 30035: A man tels another, "Get your checkboard and place one grain of wheat on the first square. Then place two on the next, then place four on the third square. Continue this until all 64 squares are covered with grains of wheat" As he had just harvested his wheat, the man did not consider this much, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would the man need to have put on the 24nd square? (show work)
b) How much total grains would the traveling salesman receive if the checkboard only had 24 squares?

Click here to see answer by Fermat(127) About Me 

Question 30192: Pure acid is to be added to a 10% acid solution to obtain 54L of a 20% acid solution. What amounts of each should be used?
Click here to see answer by longjonsilver(2297) About Me 

Question 30424: Dennis can eat a pie in 6 min. David can eat a pie in 12 min. Robert can eat a pie in 14.639145073927682623334797247841 min. If they share the same pie, how lomg will it take the three guys to scarf down the whole thing. (Hint: First figure out how many pies each guy can eat in an hour)
Click here to see answer by venugopalramana(3286) About Me 

Question 30391: Hello
I need help with a solution problem. I can not seem to put this thing together.

A pharmacist is to prepare 15 milliliters of special eye drops for a glaucoma patient. The eye-drop solution must have a 2% active ingredient, but the pharmacist only has 10% solution and 1% solution in stock. How much of each type of solution should be used to fill the prescription.

Help with this will be greatly appreciated, I am lost on this one.
Thanks
Terry

Click here to see answer by longjonsilver(2297) About Me 

Question 30587: The amount (by weight) of gold, silver and lead in three alloys of these metals are in ratios:
4:3:2 - Alloy 1
3:5:1 - Alloy 2
2:2:5 - Alloy 3
It is desired to make a fourth alloy containing equal amounts of gold, silver and lead. How many grams each alloy should be used for every 10 grams of the new alloy?

Click here to see answer by venugopalramana(3286) About Me 

Question 30723: Please help me with this problem. Caroline needs a 3% solution. How many liters of a 1% solution should she add to 2 liters of a 32% solution to get a 3% solution?
Click here to see answer by Paul(988) About Me 

Question 30727: How many gallons of 16% alcohol solution should be added to 30 gal of a 45% alcohol solution to make a 21% solution? Please help me set this up.
Click here to see answer by Paul(988) About Me 
Question 30727: How many gallons of 16% alcohol solution should be added to 30 gal of a 45% alcohol solution to make a 21% solution? Please help me set this up.
Click here to see answer by venugopalramana(3286) About Me 

Question 30725: How many gallons of pure alcohol solution should be added to 63 gal of 32% alcohol solution to make a 37% solution? Thank you.
Click here to see answer by checkley71(8403) About Me 
Question 30725: How many gallons of pure alcohol solution should be added to 63 gal of 32% alcohol solution to make a 37% solution? Thank you.
Click here to see answer by venugopalramana(3286) About Me 

Question 30788: Please help me with this. Marion wants to dilute 2 gal of a 28% soap solution to make a 8% solution. How much pure water should she add to make the 8% solution?
Click here to see answer by Fermat(127) About Me 
Question 30788: Please help me with this. Marion wants to dilute 2 gal of a 28% soap solution to make a 8% solution. How much pure water should she add to make the 8% solution?
Click here to see answer by checkley71(8403) About Me 

Question 30787: How many gallons of 51% alcohol solution should be added to some of a 57% alcohol solution to make a 438 gal of a 55% solution? Thank you.
Click here to see answer by checkley71(8403) About Me 
Question 30787: How many gallons of 51% alcohol solution should be added to some of a 57% alcohol solution to make a 438 gal of a 55% solution? Thank you.
Click here to see answer by Fermat(127) About Me 

Question 30839: If a salesman earns 8 1/2% commission on all sales above $500,how much commission does he earn on all sales of $1490?
Click here to see answer by josmiceli(9817) About Me 

Question 30840: Express 10cm as a percent of 2km.
Click here to see answer by acerX(62) About Me 

Question 30878: The driver of a car with a leaking radiator found it necessary to add water twice on a trip. The radiator held 120 liters and was filled with 30% alcohol solution at the start. At the end of the trip, the radiator was again filled with water and the solution was tested and found out to be 25% alcohol. Find the total amount of water used.
Click here to see answer by Paul(988) About Me 

Question 30903: How many ounces of a 22% alcohol solution mixed with how many ounces of pure alcohol would form 60 ounces of a 35% solution?
Click here to see answer by Paul(988) About Me 

Question 30978: Coffee Company blends coffee type A worth $0.93 per pound with coffee type B worth $1.20 per pound to get 30 pounds of a coffee blen worth $1.02 per pound. How many pounds of each type of coffee does the company use?
Click here to see answer by Paul(988) About Me 

Question 30979: How many ounces of a 22% alcohol solution mixed with how many ounces of pure alcohol would form 60 ounces of a 35% solution?
Click here to see answer by venugopalramana(3286) About Me 

Question 31091: A farmer has bought 100 animals for $100. He has bought cows, pigs and chickens. If the cows are $10 and the pigs are $3 dollars and the chickens are 50 cents how many of each animal did the farmer buy?
Click here to see answer by Paul(988) About Me 

Question 28955: Maple Syrup worth $6 a gallon and corn syrup worth 80 cents a gallon are used to make a mixture worth $2.36 a gallon. How many gallons of each kind of syrup are needed to make 50 gallons of the mixture?
I have to find out how much of each is in the mixtured solution that costs $2.36 and then multiply those numbers by 50, right? I think what's confusing me most is the 2 variables.
Thank you!

Click here to see answer by checkley71(8403) About Me 

Question 31373: okay... the teacher wants to know why this problem does NOT have a solution...
How many gallons of a 10% and a 20% solution should be mixed to obtain a 30% solution?

Click here to see answer by Fermat(127) About Me 

Question 31374: How many ounces of a 22% alcohol solution mixed with how many ounces of pure alcohol would form 60 ounces of a 35% solution?
Click here to see answer by Paul(988) About Me 

Question 31391: tara made x/y dollars for babysitting.joe made x-y/y and lynn made 2/3 as much as tara.if they all pool their money.how much will they have?
Click here to see answer by josmiceli(9817) About Me 

Question 31566: A coffee merchant sells a customer 3 lb of Hawaiian Kona at $6.50 per pound. His scale is accurate to within +-0.03 lb. By how much could the customer have been overcharged or undercharged because of possible inaccuracy in the scale?
Thank you very much!

Click here to see answer by josmiceli(9817) About Me 

Question 29500: a vat contain 100L of a 40% acid solution. how much acid must be added to increase the acidity to 60% ?
Click here to see answer by checkley71(8403) About Me 

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