Questions on Word Problems: Mixtures answered by real tutors!

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Question 114901: How many gallons each of 25% alcohol and 35% alcohol should be mixed to obtain 20 gallons of 32% alcohol?
Click here to see answer by checkley71(8403) About Me 

Question 114741: A nurse wants to add water to 30 ounces of a 10% solution of benzalkonium chloride to dilute it to an 8% solution. How much water must she add?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 114743: How many liters of 80% alcohol must be added to 10 liters of a 50% solution to obtain a 70% solution?
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Question 114903: Paul wants to invest a total of $5000 in two accounts, one paying 4% annual simple interest and the other 3%. If he wants to earn $165 annua; interest, how much should he invest at each rate?
Click here to see answer by checkley71(8403) About Me 

Question 114919: Patti needs 8000 litres of a 35% solution of hydrogen chloride. How many litres of a 40% solution and how many litres of a 20% solution will she use?
1. How many litres of 40% solution & how many solutions of 20% solution?
2. Litre of 40% = x
Litre of 20% = y
x + y = 8000
.40x + .20y = .35
Many thanks for any assistance your able to share.
pmoss
From this point on I'm stuck..I don't know how to solve the problem.

Click here to see answer by rajagopalan(174) About Me 

Question 115030: I am struggle with these problems and I need help and explanation on how to do it in the future.
a) Write the prime factorization of 260.
b) Find the greatest common factor (GCF) of 84 and 140.
c) Find the least common multiple (LCM) of 18, 20, 30.

Click here to see answer by solver91311(24713) About Me 

Question 115407: Could someone please help me with this problem.
A recipe requires 3/4 cup of flour and makes enough for six people. How much flour should be used to make enough for 15 people. I came up with 15/8 of a cup of flour but I've been told that is wrong. Please show me what I am doing wrong.

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

Question 116209: I am having trouble with the set up of the table and what the equation should be
A grocer combined walnuts that cost $2.60 per pound and cashews that cost $3.50 per pound with 20 lb of peanuts that cost $2.00 per pound. Find the amount of walnuts and the amount of cashews used to make the 50 lb mixture costing $2.72 per pound.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 116230: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together?
Click here to see answer by edjones(8007) About Me 

Question 116676: I am an eight grader, I don't understand how to do this?
Can you please provide a step by step solution, so I learn how to do it the next time.

Principal 5000; rate 4 1/2%; quarterly compounded; time 10 years
Thanks

Click here to see answer by checkley71(8403) About Me 
Question 116676: I am an eight grader, I don't understand how to do this?
Can you please provide a step by step solution, so I learn how to do it the next time.

Principal 5000; rate 4 1/2%; quarterly compounded; time 10 years
Thanks

Click here to see answer by solver91311(24713) About Me 

Question 116746: How many pounds of hamburger that costs $1.10 per pound must be mixed with 50 pounds of hamburger that costs $1.80 per pound to make a mixure that costs $1.30 per pound.
I can get the answer by working it out but can't get the correct equation down on paper.

Click here to see answer by scott8148(6628) About Me 
Question 116746: How many pounds of hamburger that costs $1.10 per pound must be mixed with 50 pounds of hamburger that costs $1.80 per pound to make a mixure that costs $1.30 per pound.
I can get the answer by working it out but can't get the correct equation down on paper.

Click here to see answer by checkley71(8403) About Me 
Question 116746: How many pounds of hamburger that costs $1.10 per pound must be mixed with 50 pounds of hamburger that costs $1.80 per pound to make a mixure that costs $1.30 per pound.
I can get the answer by working it out but can't get the correct equation down on paper.

Click here to see answer by bucky(2189) About Me 

Question 116832: what is the name given to part of a decanted mixture left behind in the vessel?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 116992: Thanks for your help on this one: On an 18-hole golf course, there are par-3 holes, par-4 holes and par-5 holes. A golfer who shoots par on every hole has a score of 72. The sum of the number of par-3 and the number of par-5 holes is 8. How many of each type of hole are there on the golf course?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 117351:
How much of a 80% alcohol solution must be mixed with 60 gallons of a 24% alcohol solution to obtain a solution that is 70% alcohol?

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

Question 117612: How much 40% acid solution should be mixed with 2 gallons of 60% acid solution in order to get 50% acid solution? Set up an equation to solve.
Click here to see answer by stanbon(75887) About Me 

Question 117721: x varies directly as the square of s and inversely as t. how does x change when s is doubled? When both s and t are doubled?
Click here to see answer by stanbon(75887) About Me 

Question 118039: could you please help me with this problem? i tried it and got 60 pounds but it was wrong.
"if a dairyman has 300 pounds of milk testing 3% butterfat, how many pounds of skimmed milk (with no butterfat) must he remove to have milk testing 3.6% butterfat?"

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 118111: chemist mixes an 8% hydrochloric acid solution with a 5% hydrochloric acid solution. How many milliliters of the 5% solution should the chemist use to make a 750-milliliter solution that is 7% hydrochloric acid?
Click here to see answer by Earlsdon(6294) About Me 

Question 118357: The population denstity in Tustin Foothills is about 3589 people per square mile. the population density in Orange is about 5719 people per square mile. how many more people would there be in a square region 3 miles on each side in Orange than in an equivalent region in Tustin Foothills (assume uniform, distribution of people)?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 118463: How many gallons of pure alcohol should be mixed with 20 gal of a 15% alcohol solution to obtain a mixture that is 25% alcohol?
Click here to see answer by wgunther(43) About Me 

Question 118542: A poster in the shape of a triangle has one side that is five inches more the length of the shortest side, and another side that is three inches less than twice the shortest side. Find the dimensions of the poster if its perimeter is 42 inches
Click here to see answer by josmiceli(19441) About Me 
Question 118542: A poster in the shape of a triangle has one side that is five inches more the length of the shortest side, and another side that is three inches less than twice the shortest side. Find the dimensions of the poster if its perimeter is 42 inches
Click here to see answer by tutor_paul(519) About Me 

Question 118643: PART C
LQCKRfRNLEM
Imagine you are at a school that has lockers. There are 1,000 lockers, all shut and unlocked,
and 1,000 students -
HERE’S THE PROBLEM:
1) Suppose the first student goes along the row and opens every locker.
2) The second student then goes and shuts every other locker beginining with the number 2
3) The third student changes the state of every third locker beginning with number 3. (If the locker is open the student shuts it, and if the locker is closed the student opens it.)
4) The fourth student changes the state of every fourth locker beginning with number 4. Imagine that this continues until the thousand students have followed the pattern with the thousand lockers. At the end, which lockers will be open and which will be closed? Why?
fl\

Click here to see answer by scott8148(6628) About Me 

Question 118675: This is a gre math problem....
a certain cake recipe states that the cake should be baked in a pan 8 inches in diameter. If Julie wants to use the recipe to make a cake of the same depth but 12 inches in diameter, by what factor should she muiltiply the ingredients?
my answer: 1.5 but this is wrong and statistics show that over 65% of the people taking the test got this wrong answer...
The correct answer is 2.25...why???
If you can help, thanks!

Click here to see answer by Fombitz(32388) About Me 

Question 118807: the nut shoppe has 10 kg of mixed cashews and pecans,which sell for $8.90 per kilogram.cashews alone sell for $8 per kilogram,and pecans sell for $9 per kilogram.how many kilograms of each are in the mix?
Click here to see answer by checkley71(8403) About Me 

Question 118806: the nut shoppe has 10 kg of mixed cashews and pecans,which sell for $8.90 per kilogram.cashews alone sell for $8 per kilogram,and pecans sell for $9 per kilogram.how many kilograms of each are in the mix?
Click here to see answer by checkley71(8403) About Me 

Question 118805: a solution containing 30% insecticide is to be mixed with solution containing 50% insecticide to make 200L of a solution containing 36% fungicide.how much of each solution should be used?
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Question 118939: 1. If an alloy containing 30% silver is mixed with a 55% silver alloy to get 800 pounds of 40% alloy, how much of each mixture must he use?
2. Pia wishes to make bouquets of mixed spring flowers. Each bouquet should be made up of tulips at 30 pesos a bunch and roses at 21 pesos a bunch. How many bunches of each flower should she use to make 15 bunches that can be sold at 24 pesos per bunch?
3. A store manager wishes to reduce the price on her cooked peanuts by mixing two grades. If he has 50 pounds of peanut that sells for 10 pesos per pound, how much peanut worth 6 pesos per pound must he mix with it so that he can sell the final mixture for 8.50 pesos per pound?
4. How many grams of water must be added to 100grams of a 40% acid solution in order to produce a 20% acid solution?
KINDLY SHOW YOUR SOLUTIONS. THANK YOU

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 119388:

The cash receipts for a store totaled $4200. If this included a 5% sales tax, what were the cash receipts before sales tax?
Please provide a step by step solution?
This way I can learn how to go about getting it right the next time.

Thanks again for your help?

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

Question 119685: 36 gallons of 25% alchol solution means : 25%, or one quarter, of the solution is pure alchol. one quarter of 36 is 9. That solution contains 9 gallons of pure alchol.

how many gallons of 30% alchol solution and how many of 60% alchol solution must be mixed to produce 18 gallons of 50% solution

Click here to see answer by stanbon(75887) About Me 
Question 119685: 36 gallons of 25% alchol solution means : 25%, or one quarter, of the solution is pure alchol. one quarter of 36 is 9. That solution contains 9 gallons of pure alchol.

how many gallons of 30% alchol solution and how many of 60% alchol solution must be mixed to produce 18 gallons of 50% solution

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

Question 119808: One bacth of dough makes 15 ornaments. How many ornaments can be made with 3 batches of dough?
Click here to see answer by checkley71(8403) About Me 

Question 119928: Find the number that logically continues each of these series:
a) 2,3,5,9,17,
b) 14,19,29,40,44,52,

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Question 120167: 1. A rectangular water tank is 3m long, 6m wide, and 2m deep. Water exits the tank by pouring over the sides. Assume that depth is measured from the top of the tank (i.e. depth = 0 at the top of the tank)
a) If the tank is initially full of water, find the work required to empty the tank.
b) If the tank is initially full of water, find the work required to pump out half of the water
c)If the tank is initially half-full of water, find the work required to empty the tank.
d)Why isn’t the answer to parts b) and c) the same?
e)If the tank is initially full of water, find the work F(y) required to pump out the water until the depth of water in the tank is y. Plot F(y)
f)If your goal is to pump out all of the water, at which water level y0 will half of the work be done?
Thankz to anyone in advance who even attempts this question !

Click here to see answer by scott8148(6628) About Me 

Question 120409: This problem stumped my girlfriend and I please help
How many gallons of a 4% acid solution should be mixed with 20 Gallons of a 10% acid solution to obtain a mixture that is 5% acid?
Please show work that way I can see what I was doing wrong...
Thank you

Click here to see answer by scott8148(6628) About Me 

Question 120598: The number of men at a party is 2/9 of the number of women. There are 91 more women than men. How many people are there in the party.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 121112: How much pure acid is in 520 milliliters of a 16% solution?
Click here to see answer by josmiceli(19441) About Me 

Question 121456: Ziggy's famous yogurt b lends 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 yogurt and how many pounds of no fat yougurt should be mixed to obtain 60 pounds of low fat yogurt?
Click here to see answer by ptaylor(2198) About Me 

Question 121526:
how many gallons of a 70% antifreeze solution must be mixed with 100 gallons of 25% antifreeze to get a mixture that is 60% antifreeze? Use the six-step method

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Question 121689: It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 70 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength?
Click here to see answer by josmiceli(19441) About Me 

Question 121715: Please help me solve this word problem: A pharmacist needs to strengthen a 15% alcohol solution so that it contains 32% alcohol. How much pure alcohol should be added to 100ml of the 15% solution?

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

Question 121986: Twenty pounds of a salt-water solution contains fifteen percent salt. How much water must be added to weaken the solution to twelve percent salt?
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