Questions on Word Problems: Mixtures answered by real tutors!

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Question 729500: Emily mixed together 9 gallons of Brand A fruit drink and 8 gallons of Brand B fruit drink which contains 48% fruit juice. Find the percent of fruit juice in Brand A if the mixture contained 30% fruit juice?
Click here to see answer by josmiceli(19441)

Question 729492: A contractor mixes concrete from bags of
pre-mix for small jobs. How many bags with
6% cement should he mix with 4 bags of 21%
cement to produce a mix containing 9%
cement?

Click here to see answer by josgarithmetic(39616)

Question 729274: A jeweler has six rings, each weighing 8 grams, 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 80%.
(a) Construct a model that gives the fraction G(x) of the new alloy that is pure gold. (Let x represent the number of grams of silver added.)
Click here to see answer by josgarithmetic(39616)

Question 729631: How many liters each of 8%, 10%, and 20% hydrogen peroxide should be mixed together to get 8 liters of 12.5% solution, if the amount of 8% solution used must be 2 liters more than the amount of 20% solution used?
Click here to see answer by lynnlo(4176)

Question 729572: A company contracts to paint 3 houses. Mr.Orange can paint a house in 6 days while Mr.Grey would take 8 days and Mr.Red 12 days. After 8 days Mr.Orange goes on vacation and Mr.Grey begins to work for a period of 6 days. How many days will it take Mr.Red to complete the contract?
Click here to see answer by lynnlo(4176)

Question 729574: what part of 4770 is 2816?
what part of 1380 is 864?

Click here to see answer by lynnlo(4176)

Question 729659: How many gallons of a 50% antifreeze solution must be mixed with 100 gallons of a 30% antifreeze solution to get a mixture that is 40% antifreeze?
Click here to see answer by checkley79(3341)

Question 729856: How many quarts of pure antifreeze must be added to 2 quarts of a 10% antifreeze solution to obtain a 40% antifreeze solution? and round to the nearest tenth as needed. My email is golittlediva@yahoo.com
Click here to see answer by nerdybill(7384)

Question 729919: Pure acid is to be added to a 10% acid solution to obtain 90l of 56% solution. What amounts should be used?

Click here to see answer by stanbon(75887)

Question 729973: If 30g of a 15% w/w hydrocortisone ointment is mixed with 80g of 1% w/w hydrocortisone ointment, what is the % w/w concentration of the resulting mixture
Click here to see answer by josgarithmetic(39616)

Question 729926: how many liters of a 12% salt solution must be added to 10 liters of a 25% salt solution to get a 20% salt solution
Click here to see answer by josgarithmetic(39616)

Question 729873: Hi I am trying to do some word problems by using a system of equations, for example using x and y that way when I set up the two equations I can use either the subsitution method or elimination method. Here are my word problems hope you can help. (:
1. A total of $12,000 is invested, part at 6% simmple interest and part at 3%. If the annual return from the two investments is the same, how much is invested at each rate?
2. A car travels 225 kilometers in the same time that a truck travels 195 kilometers. If the speed of the car is 10 kilometers per hour faster than the speed of the truck, find the speed of each vehicle.

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

Question 730110: ellen wants to mix candy worth 1.09$ per pound with candy worth $3.32 per pound to form 25 pounds of a mixture worth $2.43 per pound. how many pounds of the expensive candy should she use?
Click here to see answer by mananth(16946)

Question 730145: A chemist is going to mix some 40% acid with some 65% acid in order to make 120 Liters of 50% acid. How many liters of the 40% acid will he use?
Click here to see answer by josgarithmetic(39616)

Question 730078: The larger of two numbers is 6 less than twice the smaller number. If their total is 27, find both numbers
Click here to see answer by lenny460(1073)

Question 730310: a dairy needs 360 gallons of milk containing 6% butterfat. how many gallons each of milk containing 7% butterfat and milk containing 2% butterfat must be used to obtain the desired 360 gallons?
Click here to see answer by josgarithmetic(39616)

Question 730238: 1 flask = 40 pints which contains 20% pure acid. If I add 10 more pints, what percentage of pure acid will be in the flask?
Click here to see answer by josgarithmetic(39616)

Question 730392: Chocolate covered peanut clusters worth $5.75 a pound were mixed with chocolate covered pretzels worth $3.80 a pound to produce a mixture of chocolate candy worth $4.25 per pound. How many pounds of each candy was used to produce 52 pounds of this mixture?
Click here to see answer by checkley79(3341)

Question 730546: I already have a 50% mixture. (It contains 7 scoops of A, - and 7 scoops of B.)
I want to take one scoop of the 50% mixture and and add enough B to it so that it will become 75%B and 25%A.
How do I proceed?
Click here to see answer by stanbon(75887)

Question 730586: i have 500m3 of 40%NaOH how much DM water should i add to get 25%NaOH soluton
Click here to see answer by josgarithmetic(39616)

Question 730518: If the mix ratio for certain chemical is 1:6 when it is mixed with water (chemical:water), how much water would be mixed with 1/2 gallon of the chemical?
Click here to see answer by josgarithmetic(39616)

Question 730490: You want to mix some 10% glucose solution with some 15% glucose solution to obtain 100 ml of a 12% glucose solution. How much of the 15% glucose solution do you need in the mixture?
Click here to see answer by josgarithmetic(39616)

Question 730607: A concrete mixture is to be made which contains 35% sand by weight and 642 lb of mixture containing 29% sand is already on hand. How many pounds of sand must be added to this mixture to arrive at the required 35%?
I tried .29(642 + x)= .35x
.29(642) = .35 (642 + x)
I'm having trouble asking myself the right questions to set the problem up correctly...please help Mark
Click here to see answer by josgarithmetic(39616)

Question 730609: A certain automobile cooling system contains 11.0 liters of of coolant that is 15% antifreeze. How many liters of mixture must be removed so that, when it is replaced with pure antifreeze, a mixture of 25% antifreeze will result?
I know that I have to use the 100% somewhere, but I can't see how to use it. It's very odd seeing this as a subtraction problem.
I tried
15% 11-x .15
100% x 1
25% 11 .25
I need to see it in a table form so that my mind can process it.
thanks Mark
Click here to see answer by josgarithmetic(39616)

Question 730666: How many pounds of pure alcohol must be added to 20 pounds of an 80% pure alcohol to produce an 85% pure alcohol?
0.80(20) = 0.85 (20 + x)
(100)0.80(20) = (100)0.85 (20 + x)
80(20) = 85(20+x)
1600 = 1700 + 85x
1600 - 1700 = 1700 + 85x - 1700
-100 = 85x
-100/85 = 85x/85
-1.18 = x
The answer in the book is 6.66lbs.
Click here to see answer by josmiceli(19441)

Question 730702: If 12 men working 8hrs a day can do a piece of work in 15 days, how many hrs a day must 20 men work in order to do it in 8 day?
Click here to see answer by stanbon(75887)

Question 730719: twenty liters of an 87.5% alcohol solution is obtained by mixing a 95% solution with 70% solution. How many liters of each solution must be used to obtain the desired mixture?
Click here to see answer by josgarithmetic(39616)

Question 730921: A shop that sells nuts has one mixture that is 25% almonds and 75% cashews. A second mixture is 55% almonds and 45% cashews The manager wants to make a new mixture that is 43% almonds. She wants to use 37 ounces more of the second mixture than that of the first. How many ounces of each mixture must she use?
Click here to see answer by josmiceli(19441)

Question 730945: The radiator in a certain make of car needs to contain 40 liters of 40% antifreeze. The radiator now contains 40 liters of 20% antifreeze. How many liters of this solution must be drained and replaced with 100% antifreeze to get the desired strength?

Click here to see answer by josgarithmetic(39616)

Question 731016: We have 20% alcohol solution and 50% acid solution, how many pints must be added from each to obtain 8 pints of 30%?
-Because it mixes alcohol and acid solutions, I'm not sure if the same equation for mixtures works for this problem.
Click here to see answer by mananth(16946)

Question 731014: How many milliliters of distilled water must be added to 50 milliliters of 40% acid solution to obtain 20% acid solution?
x(0)+ 50(.4)=x+50(.2)
x+20=x+10
Click here to see answer by mananth(16946)

Question 731178: How much 3% peroxide do you add to one litre water to make a 30% solution peroxide.
Click here to see answer by richwmiller(17219)

Question 730992: Please,i will like to know how mixing problem involving tank 1 and tank 2 is all about
Click here to see answer by richwmiller(17219)

Question 731259: A chemist mixes 200 milliliters of a solution that is 15% salt with 300 milliliters of a solution that 40% salt. What percent salt is the resulting solution?
Click here to see answer by josgarithmetic(39616)

Question 731340: Maria's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Maria 4.30 per pound, and type B coffee costs 5.40 per pound. This month, Maria made 167 pounds of the blend, for a total cost of 825.90 . How many pounds of type A coffee did she use?
Click here to see answer by josgarithmetic(39616)

Question 731506:
Two different mixtures of fashion are available, one with 5% alcohol and the other containing 12% alcohol. How many gallons of the 12% mixture must be added to 252 gal of the 5% mixture to produce a mixture containing 9% alcohol?
Click here to see answer by checkley79(3341)

Question 731838: A dairy needs 270 gallons of milk containing 6% butterfat. How many gallons of each milk containing 7% butterfat and milk containing 4% butterfat must be used to obtain the desired 270 gallons.
Click here to see answer by josmiceli(19441)

Question 484918: you are giving an older friend directions to your cottage.you sat that it is 325km to the cottage.The friend knows they can go 60/hr.How long will it take them to get to the cottage?
Click here to see answer by Jo44(1)

Question 731881: a veterinarian needs a mixture that contains 12% of a certain medication to treat a injured bird. How many mililiters of a 16% solution should be mixed with 6L of a 7% solution to obtain a solution that is 12% medication?
Click here to see answer by josgarithmetic(39616)

Question 732008: A grocer has two kinds of loose tea. One is worth $5 per pound and the other is worth $7 per pound.
She mixes some of each kind of tea together to get a total of 50 pounds of a mixed tea worth a total of $314.00.
Let
x = number of pounds of $5/pound tea in the mixture
y = number of pounds of $7/pound tea in the mixture
Use a system of equations that describes this situation to figure out how much of each kind of tea is in the mixture.
Click here to see answer by josmiceli(19441)

Question 732067: Joey has a 25% antifreeze solution. He also has pure antifreeze. How much of the 25% solution and the pure antifreeze is needed to fill his 12- quart cooling system with a 50% antifreeze solution?
Click here to see answer by josmiceli(19441)

Question 731968: Show your work:
How many gallons of rocket fuel containing 80% liquid oxygen must be mixed with 250 gallons containing 40% liquid oxygen to produce a mixture containing 70% liquid oxeygen
Click here to see answer by checkley79(3341)

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