Questions on Word Problems: Mixtures answered by real tutors!

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Question 96515: How much water (ounces)must be evaporated from 16 ounces of a 2% salt solution to make a 4% salt solution?

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Question 96682: A certain creme mixture contains 12 grams of creme A, 18.6 grams of petrolatum, and 30 grams univase. The pharmacist needs to make a 480-gram mixture containing the same ratio of ingredients. How much of each ingredient should she include?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 96899: Tom needs a 25% solution of alcohol. He has a 15% solution and a 30% solution. How many liters of the 15% soloution should be added to 3 liters of the 30% soloution to obtain the 25% solution?

This is not from a textbook, this was a handed out assignment.

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Question 97024: Two pipes together can fill a large tank in 10 hours. One of the pipes used alone takes 15 hours longer than the other to fill the tank. How long would each pipe take to fill the tank alone?
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Question 97023: Working together, Rick and Juanita can complete a job in 6 hours. It would take Rick 9 hours longer than Juanita to do the job alone. How long would it take Juanita alone?
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Question 97015: A metal alloy that is 17% copper to make jewelry. How many ounces of a 14% alloy must be mixed with a 23% alloy to form 72 ounces of the desired alloy?
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Question 97448: How many ounces of pure gold must be added to five ounces of something that is 1% gold in order that the mixture is 6% gold?
I tried working it out but I am not sure if I did it right.
x + 5(.01)= .06(x+5)
x + .05 = .06x + .30
x + .05 - .05 - .06x = .06x - .06x + .30 - .05
.94x = .25
.94x/.94 = .25/.94
x= .27 ounces

Click here to see answer by stanbon(75887) About Me 
Question 97448: How many ounces of pure gold must be added to five ounces of something that is 1% gold in order that the mixture is 6% gold?
I tried working it out but I am not sure if I did it right.
x + 5(.01)= .06(x+5)
x + .05 = .06x + .30
x + .05 - .05 - .06x = .06x - .06x + .30 - .05
.94x = .25
.94x/.94 = .25/.94
x= .27 ounces

Click here to see answer by edjones(8007) About Me 

Question 97708: A nurse has 1 liter of a solution that is 20% alcohol. How much pure alchol must she add to bring the solution up to a 25% concentration
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Question 97755: this question didn't come out of a textbook. It was from a paper in my math class. here it goes.
How much pure acid do you add to 2 gallons of 40% acid in order to get a 70% acid.
I don't know how to set up the equation to solve it. Can you help?

Click here to see answer by josmiceli(19441) About Me 

Question 97810: Irene is a barn manager at a horse stable. She needs to calculate the correct mix of grain and hay to feed her horse. On the basis of her horse's age, weight, and workload, she determines that he needs to eat 15 lb of feed per day, with an average protein content of 8%. Hay contains 6% protein, whereas grain has a 12% content. How many pounds of hay and grain should she feed her horse each day?
Click here to see answer by checkley71(8403) About Me 
Question 97810: Irene is a barn manager at a horse stable. She needs to calculate the correct mix of grain and hay to feed her horse. On the basis of her horse's age, weight, and workload, she determines that he needs to eat 15 lb of feed per day, with an average protein content of 8%. Hay contains 6% protein, whereas grain has a 12% content. How many pounds of hay and grain should she feed her horse each day?
Click here to see answer by stanbon(75887) About Me 

Question 97844: Not from book!
A car machanic needs to mix together two solutions of anti-freeze. One solution is 100% pure anti-freeze and the other is 30% anti-freeze. The machanic would like to have 2.5 gallons of a mixture that is 44% anti-freeze. How many gallons of each solution will the car machanic need?

Click here to see answer by Nate(3500) About Me 

Question 97741: A coffee house has 20 pounds of a coffee that sells for $4 per pound. How many pounds of a coffee that sells for $8 per pound should be mixed with the 20 pouds of $4 per pound coffee to obtain a blend that will sell for $5? How much of the $5 per pound coffee is there to sell?
Click here to see answer by Nate(3500) About Me 
Question 97741: A coffee house has 20 pounds of a coffee that sells for $4 per pound. How many pounds of a coffee that sells for $8 per pound should be mixed with the 20 pouds of $4 per pound coffee to obtain a blend that will sell for $5? How much of the $5 per pound coffee is there to sell?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 97894: How many pounds of nuts that costs$1.10 per pound must be mixed with 50 pounds of nut that cost $1.80 per pound to make a mixture that cost $1.30 per pound?



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Question 97990: A grocer wants to mix peanuts and cashews to produce 20 lb of mixed nuts worth $6.20/lb. How many pounds of each nut should she use if peanuts cost $4.80/lb and cashews cost $8/lb?
Click here to see answer by tutorcecilia(2152) About Me 

Question 98063: a water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank
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Question 98058: How many gallons of a 60 percent acid solution must be mixed with 80 gallons of a 14 percent solution to obtain a solution that is 50 percent acid?
Click here to see answer by checkley71(8403) About Me 

Question 98236: As part of a lab experiment for your chemistry class, you add pure alcohol to 24 ml of a 9% solution. How much pure alcohol must you add to the 9% solution to make a 16% solution?

My professor was showing us how to set up charts to help solve the problems and I don't know where to begin. I just need help setting up a chart and then I could solve the problem. -Thanks

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Question 98278: how much skimmed milk must be added to 200 pounds of milk which contains 4.8% butterfat to produce milk that contains 3.2% butterfat?
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Question 98278: how much skimmed milk must be added to 200 pounds of milk which contains 4.8% butterfat to produce milk that contains 3.2% butterfat?
Click here to see answer by checkley71(8403) About Me 

Question 98306: I submitted a problem earlier today and the response definitely helped, but I am stumped on a different problem. My professor assigned 2 mixture problems and I could not set up the chart for either. The problem is:
A chemist has a 50 ml solution that is 25% acid. How much water should she add to make a 10% solution?
I tried to set up the chart like this:
Solution Acid Water Total

________________________________________
1st 2.5 x 50
________________________________________
2nd 1 x 50

It didn't work out well.... please help!!! -Thanks

Click here to see answer by ptaylor(2198) About Me 

Question 98457: Please help me with this mixture word problem. A jewel has five rings, each weighing 18 g, made of an alloy of 10% silver and 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? I'm having a lot of difficulty with setting up and equation for this particular problem. I would be very thankful if you would help me out. Thank you
Click here to see answer by mathslover(157) About Me 

Question 98573: Wilma drove and average speed of 60mph from her hom in city A to visit her sister in city B. She stayed in City b 15 hours, and on the trip back averaged 40mph. She returned home 49 hours after leaving. Whave have to determine how many miles x is it form City A to City B. In terms of x, express wilma's driving time from A to B. In terms o fher, her return driving time is? Her total driving time is? (trip time minus visiting time)
Click here to see answer by checkley71(8403) About Me 

Question 98496: A radiator contains 6 liters of 25% antifreeze solution. How much should be drained and replaced with pure antifreeze to produce a 33% antifreeze solution?
So far, I know that the first solution contains 6 liters and I need to multiply that by 25%. Then since we are "replacing" pure antifreeze to the mixture that is 100% that I need to multiply to the unknown mixture of x+6 (which is my second solution) so that I can produce a 33% solution. Does this make any sense? I'm not sure how to do this. Thank You

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 98496: A radiator contains 6 liters of 25% antifreeze solution. How much should be drained and replaced with pure antifreeze to produce a 33% antifreeze solution?
So far, I know that the first solution contains 6 liters and I need to multiply that by 25%. Then since we are "replacing" pure antifreeze to the mixture that is 100% that I need to multiply to the unknown mixture of x+6 (which is my second solution) so that I can produce a 33% solution. Does this make any sense? I'm not sure how to do this. Thank You

Click here to see answer by stanbon(75887) About Me 

Question 98650: If 18 ounces of dough are used to make a 16 inch pizza, then how many ounces of dough are used to make a 20 inch pizza?
Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 98671: coffe worth 90.00 per klo. is mix with a coffee worth 75.00 per klo. to produce 300 klo. grams of the mixture worth 80.00 per klo. how many klos. of each type should she use?
Click here to see answer by ptaylor(2198) About Me 

Question 98681: How many ounces of pure water must be added to 75 oz of a 20% salt solution to make a salt solution which is 15 % salt?
Click here to see answer by checkley71(8403) About Me 

Question 98712: A tank holds 80 liters of a chemical solution. Currently, the solution has a strength of 30%. How much of this should be drained and replaced with a 70% solution to get a final strength of 40%?
Click here to see answer by ptaylor(2198) About Me 

Question 98906: A 54 kg person is parachuting and experiencing a downward accelerations of 1.6 m/s^2. The mass of the parachute is 7.3 kg
a) what is the upward force on the open parachute from the air?
b) what is the magnitude of the downward force on the parachute from the person
THANKZZ

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Question 98920: A silversmith combines 40 oz. of pure silver that costs $8.00 per ounce with 200 oz. of a silver alloy that costs $3.50 per ounce. Find the selling price of the mixture.
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Question 98983: please help me the question is a take home test.
in chemistry class, 9 liters of a 4% SILVER IODIDE solution must be mixed with a 10% solution to get a 6% solution. how many liters of the 10% solution are needed?

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Question 99077: Joseph mixed a certain amount of 10% isopropyl mixture with 60 gallons of a 20% isopropyl solution, and the resulting mixture is 16% isopropyl. How much of the 10% isopropyl did he add?
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Question 99099: Should this problem be worded differently - the word water evaporated changed to water added?
How much water must be evaporated from 50 liters of a 65% salt solution to produce a solution that is a 40% salt solution.
.65(50) = .40y
50 - x = y
where x= water evaporated and y = new amount of the solution with 40% salt.
Substituting in 50 - x for y:
32.5 = .40(50 - x)
32.5 = 20 - .40x
12.5 = .40x
-31.25 = x
When I solve this problem I get x = water evaported = -31.25.
To decrease the percentage of salt, you need to add water, correct?

Click here to see answer by ptaylor(2198) About Me 

Question 99302: Ronald has a 12% solution of the fertilizer Super Grow. How much pure super grow should he add to the mixture to get 32oz of a 17.5% concentration
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Question 99479: A nursery wants to mix two types of seeds, one type sells for 12 dollars per pound and the other sells at 20 per pound. To obtain 100 pounds of a mixture at 14 dollars per pound, how many pounds of each seeds are needed?
Click here to see answer by stanbon(75887) About Me 

Question 99518: By volume, one alloy is 70% copper, 20% zinc, and 10% nickel.
A second alloy is 60% copper, and 40% nickel. A third alloy is
30% copper, 30% nickel, and 40% zinc. How much of each alloy
must be mixed in order to produce 1000mm3 of a final alloy that is
50% copper, 18% zinc, and 32% nickel?

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Question 100051: how many liters of a 40% alcohol solution must be mixed with a 65% solution to obtain 20 liters of a 50% solution?
Click here to see answer by scott8148(6628) About Me 

Question 100214: You need to measure one cup of water. You have been given a container that holds 5 cups of water, a container that holds 3 cups of water, and a large bucket of water. How can you measure exactly one cup by using these supplies? You may switch the water from one container to another, but may not mark water levels in any way.
Click here to see answer by oberobic(2304) About Me 

Question 100212: Diluting wine.
A restuarant manager has 2 liters of white wine that is 12% alcohol. How many liters of white grape juice should be added to get a drink that is 10 % alcohol?

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Question 100199: A chemist mixes distilled water with a 90% solution of sulfuric acid to produce a 50% solution. If 5 liters of distilled water is used, how much 50% solution is produced?
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Question 100268: How many gallons of cream that is 22% butterfat must be mixed with milk that is 2% buttermilk to get 20 gallons of milk containing 4% buttermilk?
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Question 100503: How many liters of 80% alcohol must be mixed with 40 liters of 70% alcohol to produce a mixture that is 75% alcohol?
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