Questions on Word Problems: Mixtures answered by real tutors!

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Word Problems: Mixtures

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Question 92615: A measuring cup contains 1/5 of a cup of orange juice. It is then filled to the 1 cup mark with a mixture that contains equal amounts of orange, grapefruit, and pineapple juices. What fraction of the final mixture is orange juice?
Click here to see answer by stanbon(26252)

Question 92898: Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of a 40% antifreeze solution. How many quarts of each should she use?
Click here to see answer by ankor@dixie-net.com(6691)

Question 93324: In a city the percent of moisture that falls a snow rather than rain is approximated by P=86.3 Ln - 680 where P is the percent of moisture as snow at an altitude of h feet. At what altitude os 50% of the moisture snow?
Thanks in advance
Click here to see answer by stanbon(26252)

Question 93501: Could someone please help me try and figure this problem out. I have such a hard time with this. How many ounces of pure water must be added to 80oz of a 35% salt solution to make a 14% salt solution. I am not sure on even how to set this up. Thanks
Click here to see answer by checkley75(3666)

Question 93590: Could someone please help me? I am having trouble with this homework question.
A silversmith mixed 30 g of a 60% silver alloy with 70 g of a 20% silver alloy. What is the percent concentration of the resulting alloy? Thanks for any help. I'm not sure how to even set it up right.
Click here to see answer by ankor@dixie-net.com(6691)

Question 93591: I also need some help on this question if anyone is able to help.
A clothing manufacturer has some pure silk thread and some thread that is 85% silk. How many kilograms of each must be woven together to make 75kg of a blend that is 96% silk? Thanks for your time.
Click here to see answer by ankor@dixie-net.com(6691)

Question 93781: Can someone please help me out with this equation please?
A dr office mixed a 75% disinfectant solution with a 25% disinfectant solution. How many liters of each were used to make 20L of a 40% disinfectant solution. Thanks
Click here to see answer by ptaylor(1578)

Question 93889: Find the selling price per ounce of mixture of 200 oz. of cologne that costs $5.50 per ounce and 500 oz. of a cologne that costs $2.00 per ounce
Click here to see answer by ankor@dixie-net.com(6691)

Question 94141: I would like some help please with the following problem:
A mixture contains 25% syrup and 75% water. If the amount of water is tripled, what percentage of the new mixture is syrup?
Click here to see answer by ankor@dixie-net.com(6691)

Question 94305: How many ounces of pure water must be added to 80oz. of a 35% salt solution to make a 14% salt solution?
Click here to see answer by stanbon(26252)

Question 94305: How many ounces of pure water must be added to 80oz. of a 35% salt solution to make a 14% salt solution?
Click here to see answer by edjones(3291)

Question 94404: How much fuel that sells for $1.25 per gallon must be mixed with 180 gallons that sells for $2.00 per gallon to obtain a mixture that sells for $1.55 per gallon?
i've tried:
X = amount of fuel added
1.25X+(2.00)(180-X)= (1.55)(180)
1.25X+360-2.00X=279
-.75X=-81
X=108
Click here to see answer by kev82(145)

Question 94491: You have 40 gallons of 20% solution. How Much 8% soultion do you need to add to get some 12% solution? How much solution will you have then?
Click here to see answer by checkley71(8405)

Question 94528: A 27 gallon solution contain 9 gallon acid and 18 gallon water. How much water must be added to get 25% Acid?
Click here to see answer by stanbon(26252)

Question 94562: Tax is 8% on gizmos. You paid $52.38. What was the pre-tax price?
52.38*.08=4.19 pretax
52.38-4.19= 48.19 is that correct?
Click here to see answer by edjones(3291)

Question 94604: Marie can eat a cake in 10 minutes. Anne joins her after 3 minutes. Together they eat the rest of the cake in 4 minutes. How long would it take Anne to eat the cake alone?
Click here to see answer by stanbon(26252)

Question 94774: One brand of cleaner used to etch concrete is 20% acid. A stronger industrial strength cleaner is 40% acid. How many gallons of each cleaner should be mixed to produce 10 gallons of 26% acid solution?

How do I do this problem, very confused. Thanks tutors.
Click here to see answer by ptaylor(1578)

Question 94760: How many gallons of a 40% solution must be mixed with 96 gallons of 60% solution to obtain a 52% solution?
Click here to see answer by ptaylor(1578)

Question 94915: How many gallons of a 60% solution must be mixed with 60 gallons of 40% solution to obtain a 50% solution?

60 + y = t
( 40% of 60) + ( 60% of y ) = 50% of t
60 + y = t
40( 60) 60y = ( 50)t
y = 60
t = 120

60 + 60= 120
40% of 60+ 60% of 60 = 50% of 120

Click here to see answer by stanbon(26252)

Question 95402: Please help me with
The product of two number is 442. The sum of the numbers is 43.
x*n=442
x+n=43
Click here to see answer by stanbon(26252)

Question 95402: Please help me with
The product of two number is 442. The sum of the numbers is 43.
x*n=442
x+n=43
Click here to see answer by checkley71(8405)

Question 95273: 1.How many liters of 22% salt solution must be added to 75 liters of 67% salt to get a 47% salt solution?

2. How many gallons of a 40% alcohol solution should be mixed with 15 gallons of 80% solution to obtain a 60% alcohol solution?
Click here to see answer by ankor@dixie-net.com(6691)

Question 95599: How many liters of a 35% acid solution should be mixed with a 14% solution to obtain 70 liters of a 20% acid solution?
A chemist wants to obtain 15 liters of 24% alcohol solution by combining a quantity of 20% solution, a quantity of 30% alcohol solution and 1 liter of pure water. How many liters of each of the alcohol solutions must be used?
How many kg each of scrap iron and steel containing 75% iron must be used to produce 15 kg of 8% steel rod?

Click here to see answer by ptaylor(1578)

Question 95688: dear algebra tutors, this baby has stumped me - the 23% confuses me.
one thousand quarts of milk testing 4% butterfat are to be reduced to 3%. how many quarts of cream testing 23% must be separated from the milk to produce the required? all percents are by volume.
thank you!
Click here to see answer by checkley71(8405)

Question 95730: a drive in cashier took $20 in bills to the bank to get change. she asked for twice as many dimes as nickels and three times as many quarters as nickels. Was the teller able to grant her request?
help
Click here to see answer by bucky(1732)

Question 95742: A hospital staff member mixed a 65% disinfectant solution with a 15% disinfectant solution. How many liters of each were used to make 50 liters of a 37% disinfectant solution?
Click here to see answer by edjones(3291)

Question 95767: could you please help me with this story problem?
With a certain express mail carrier, the price for overnight delivery of a 1-pound package is $7.60. The same service for a 5 pound is $15.80. How much is overnight delivery for a 8-pound package?

Click here to see answer by stanbon(26252)

Question 95798: The number N of guests that arrive at a mall food court each hour can be approximated by N = -12x2 + 110x + 35, where x is the number of hours after 11:00 a.m. At what times, to the nearest minute, are 200 guests per hour arriving at the food court?
Click here to see answer by edjones(3291)

Question 95886: A solution of turpentine and alcohol contains 15 ounces of turpentine and 45 ounces of alcohol. How much pure turpentine must be added to produce a solution that is 75 percent turpentine?
Click here to see answer by checkley71(8405)

Question 95884: A chemist has one solution that is 40 percent pure glycoside and another solution that is 80 percent pure glycoside. How many pounds of each solution must be used to produce 100 pounds of a solution that is 60 percent glycoside?
Click here to see answer by checkley71(8405)

Question 95882: Tuna is sometimes packed in a brine (salt) solution. How many pounds of water must be added to 100 pounds of a 15 percent solution of salt and water to reduce it to a 10 percent solution of salt?
Click here to see answer by checkley71(8405)

Question 96032: A hospital staff member mixed 65% disinfectant solution with a 15% disinfectant solution. How many liters of each were used to make 50 liters of a 37% disinfectant solution?
Click here to see answer by edjones(3291)

Question 96060: Hello!
How much water should be added to 1 gallon of pure antifreeeze to obtain a solution that is 60% antifreeze?
If someone could show me how to set this problem up it would be appreicated.
Click here to see answer by scott8148(3382)

Question 96356: Acid solution: How much water should be added to 6 gallons of pure acid to obtain a 30% solution?
Click here to see answer by checkley71(8405)

Question 96352: How much 70% acid solution should be mixed with 7 liters of 20% acid solution to end up with a 30% acid solution?
Click here to see answer by checkley71(8405)

Question 96352: How much 70% acid solution should be mixed with 7 liters of 20% acid solution to end up with a 30% acid solution?
Click here to see answer by ptaylor(1578)

Question 96415: PLEASE HELP!!! I have an assignment due and I am having problems; can you please explain the below for me?
How would you explain square roots, cube roots, nth roots, and radicals to a student who is having difficulty understanding these concepts? What are some limitations of square root?

Click here to see answer by sbates(1)

Question 96465: a store normally sells cashews for $9.00 per pound and almonds for $3.50 per pound. But at the end of the month the almonds had not sold well, so, in order to sell 60lb of almonds, the manager decided to mix the 60lb of almonds with some cashews and sell the mixture for $7.50 per pound. How many pounds of cashews should be mixed with almonds to ensure no change in the profit
Click here to see answer by stanbon(26252)

Question 96478: How much water must be evaporated from 32 ounces of a 4% salt solution to make a 6% salt solution?
Click here to see answer by ptaylor(1578)

Question 96516: Trent can deliver his newspapers in 60 minutes. Lois delivers her newpapers in 40 minutes on the same route. How long would it take them to deliver the newspapers if they work together? ________minutes?
Click here to see answer by stanbon(26252)

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

Click here to see answer by stanbon(26252)

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(6691)

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.
Click here to see answer by scott8148(3382)

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?
Click here to see answer by stanbon(26252)

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