Questions on Word Problems: Mixtures answered by real tutors!

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Question 215279: A mixture containing 8% salt is to be mixed with 40 mL of a mixture that is 20% salt, in order to obtain a solution that is 12% salt. How much of the first solution must be used?
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Question 215529: How many gallons of 50% antifreeze solution must be mixed with 70 gallons of 25% antifreeze to get a mixture that is 40% antifreeze?
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Question 215606: How many liters of a 10% acid solution must be mixed with 5 liters of a 25% acid solution to give 15% solution?
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Question 215530: A pharmacist wishes to mix a solution that is 8% Minoxidil. She has on hand 80 ml of a 4% solution and wishes to add some 10% solution to obtain the desired 8% solution. How much 10% solution should she add?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 215616: Lauren is shooting at a target in a fair. If she hits the target she receives 50p, if she misses she loses 20p. After 15 shots, Lauren she has made a profit of £1.20. How many hits has she had?
I know the answer is 6 (using trial and error) but I need the proper algebraic method for it please.
Thank you
Ronit

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Question 215746: to create a breakfast beverage, cherry juice in two concentrations, 19% and 60%, must be combined into a solution that will be mixed with another type of juice to produce the beverage. if 70 gallons of 19% juice is used, how many gallons of the 60% juice must be used to obtain a 50% cherry juice solution?
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Question 215746: to create a breakfast beverage, cherry juice in two concentrations, 19% and 60%, must be combined into a solution that will be mixed with another type of juice to produce the beverage. if 70 gallons of 19% juice is used, how many gallons of the 60% juice must be used to obtain a 50% cherry juice solution?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 215910: A chemist needs to mix a solution containing 30% insecticede with a solution containing 50% insecticede to make 200 L of a solution that is 42% insecticide. How much of each solution should she use?
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Question 215928: a tank contains 20 gallons of a mixture of alcohol and water that is 40% alcohol by volume. how much of the mixture should be removed and replaced by an equal volume of water so that the resulting solution will be 25% alcohol by volume?
can you make a representation and solution to this?
i tried making this equation: .40(20)-.40(x)+.1(20)=.25(20-x=20) but this doesn't work out when i check it...

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Question 216020: how much pure alcohol must a nurse add to 10cc of 60% alcohol solution to strengthen it to a 90% solution?
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Question 216288: A chemist wants to mix 9 liters of 25% acid solution. Because of limited amounts on hand, the mixture is to come from three different solutions, one with 10% acid, another with 30% acid, and a third with 40% acid. The amount of the 10% solution must be twice the amount of the 40% solution, and the amount of the 30% must equal the total amount of the other two solutions. how much of each solution must be used?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 216315: How much of a 90% gasoline mixture and a 75% gasoline mixture would be needed for 600 liters of an 85% gasoline mixture?
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Question 216452: How many liters of a 60% acid solution must be mixed with a 75% acid solution to get 20L of a 72% solution?
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Question 217064: A lab has a 20% acid solution and a 50% acid solution. How many liters of each are required to obtain 600 liters of a 30% acid solution?
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Question 217118: How much tea worth $2 per pound should be combined with 50 pounds of tea worth $5 per pound to create a mixture worth $3 per pound?
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Question 217284: a pharmacist wishes to mix a solution that is 3% minoxidil. She has on hand 100 ml of a 2% solution and wishes to add some 5% solution to obtain the desired 3% solution. How much 5% solution should she add?
Click here to see answer by rfer(16322) About Me 

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Question #27 / 30
Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the total calling time (in minutes). When graphed, the function gives a line with a slope of 0.12 See the figure below.
The monthly cost for 51 minutes of calls is $18.51 What is the monthly cost for 43 minutes of calls?







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Question 217324: a chemist has 2 solutions, one has 40% concentration the other has 25%. how many liters will be mixed of each to get 113 liters of a 26% concentration
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Question 217474: The cooling system of a cerain fereign-made car has a capacity of 15 liters. if the system is filled with a mixture that is 40% anifreeze, how muxh of this mixture should be drained and replaced by pure antifreeze so that the systm is filled with a solution that is 60% antifreeze?
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Question 217750: an apartment building has 7 stories. The top floor is one large apartment. Each floor has twice as many apartments as the floor above it. How many apartments are in the building? Find the generalized formula that would determine the number of apartments in the building if it had "x" stories (floors). I think that x equals the number of floors and y should be the number of apartments. I am stumped there. Can you help me?
Click here to see answer by rfer(16322) About Me 

Question 217821: 2X+3/2X+5=5X+4/5X+2
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Question 217821: 2X+3/2X+5=5X+4/5X+2
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Question 217947: what is the equation and the solution this word problem?
An advertisement for grape juice claims their juice contains 10% grape juice. How much pure grape juice would have to be added to 5 quarts of the drink to obtain a mixture of 40% grape juice.

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Question 218140: A student needs to put a 60% antifreeze solution in his car. If his car holds 10 quarts of antifreeze and he only has jugs of a 30% and 80% solution, how much of each solution should be used to fill his car?
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Question 218246: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9ft. Find the length of the ladder if the length is 3ft more than its distance from the wall.

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Question 218246: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9ft. Find the length of the ladder if the length is 3ft more than its distance from the wall.

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Question 218487: I really don't understand how to even begin this problem and I am not sure if this is even the correct category but my teacher fails to understand the meaning of please explain this problem and not just hand out the answers. the problem is "A grocer mixed nuts worth 80 cents per pound with nuts worth 50 cents per pound. How many pounds of each did he use to make a mixture of 30 pounds to sell at 75 cents per pound?"
Click here to see answer by stanbon(75887) About Me 
Question 218487: I really don't understand how to even begin this problem and I am not sure if this is even the correct category but my teacher fails to understand the meaning of please explain this problem and not just hand out the answers. the problem is "A grocer mixed nuts worth 80 cents per pound with nuts worth 50 cents per pound. How many pounds of each did he use to make a mixture of 30 pounds to sell at 75 cents per pound?"
Click here to see answer by checkley77(12844) About Me 
Question 218487: I really don't understand how to even begin this problem and I am not sure if this is even the correct category but my teacher fails to understand the meaning of please explain this problem and not just hand out the answers. the problem is "A grocer mixed nuts worth 80 cents per pound with nuts worth 50 cents per pound. How many pounds of each did he use to make a mixture of 30 pounds to sell at 75 cents per pound?"
Click here to see answer by Earlsdon(6294) About Me 

Question 218693: two acid solutions are mixed, one is 26% one is 32% which of the following concentrations cannot possiblly be the concentration of the mixture: a. 36% b. 28% c. 30% d. 31%
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Question 218741: how much water must be evaporated from 28 ounces of a 3% salt solution to make a 7% salt solution?
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Question 218869: A bakery wants to make a dessert out of chocolate and almonds. If the cost of chocolate is $.75 a pound, and almonds is $.50 a pound, then how many pounds of chocolate should be used to make 30 pounds of the dessert that costs the bakery $.65 a pound?
Click here to see answer by RAY100(1637) About Me 

Question 218873: A certain solution of salt water is 15% salt and weighs 35 pounds. How much salt must be added to produce a solution that is 25% salt?
Click here to see answer by rapaljer(4671) About Me 

Question 218973: A pharmacist wishes to mix a solution that is 2% minoxidil. She has on hand 50mL of a 1% solution, and she wishes to add some 4% solution to it to obtain the desired 2% solution. How much 4% solution should she add?
Click here to see answer by checkley77(12844) About Me 

Question 219053: 3 qt. of a sugar solution was mixed with 4 qt. of a 4% sugar solution to make a 40% sugar solution. Find the percent concentration of the first solution.
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Question 219257: Rob and his brother mixed together two types of soil to make 15 m3 of soil with a 26% silt content. They used 8 m3 of a soil with 12% silt content and 7m3 of another type of soil. What was the silt content of the second type of soil?
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Question 219256: 11 qt. of a sugar solution was mixed with 9 qt. of pure water to make a 33% sugar solution. Find the percent concentration of the first solution.
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Question 219361: How much pure acid is 520 milliliters of a 14% solution?
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Question 219408: how many liters of 20% alcohol solution must be mixed with 10L of a 50% solution to get a 30% solution?
can you please explain the process too?

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Question 218904: the larger of two numbers is 4 less than 5 times the smaller. when the smaller number is subtracted from the larger, the difference is 4. find the two numbers
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Question 219575: Hi, I have a solution/miture question. I can solve the problem just fine once I get it in the right order... but this one I'm having a hard time putting all the info where it belongs.
Q) A pharmacist has 20L of a 10% drug solution. How many liters of 5% solution must be added to get a mixture that is 8%?
If you could just help me get this in the right format I would would be so thankful!! Thanks!!!
Casie R

Click here to see answer by RAY100(1637) About Me 
Question 219575: Hi, I have a solution/miture question. I can solve the problem just fine once I get it in the right order... but this one I'm having a hard time putting all the info where it belongs.
Q) A pharmacist has 20L of a 10% drug solution. How many liters of 5% solution must be added to get a mixture that is 8%?
If you could just help me get this in the right format I would would be so thankful!! Thanks!!!
Casie R

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

Question 219776: A radiator contains 15 gal of a 20% antifreeze solution. How many gallons must be drained from the radiator and replaced by pure antifreeze so that the radiator will contain 15 gal of a 40% antifreeze solution?
Click here to see answer by ptaylor(2198) About Me 
Question 219776: A radiator contains 15 gal of a 20% antifreeze solution. How many gallons must be drained from the radiator and replaced by pure antifreeze so that the radiator will contain 15 gal of a 40% antifreeze solution?
Click here to see answer by checkley77(12844) About Me 

Question 219871: Please help me with this problem:
a pharmacist wishes to mix a solution that is 6% minoxidil. She has on hand 100ml of a 1% solution and wishes to add some 8% solution to obtain the desired 6% solution. How much 8% solution should she add?

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

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