Questions on Word Problems: Mixtures answered by real tutors!

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Question 250301: Carefully draw two isosceles triangles. Draw them so that each triangle has two sides of length 10 but one triangle has a third side of length 12 and the other triangle has a third side of length 16. Which of these two triangles has the largest area? Please show your work.
Click here to see answer by richwmiller(17219)

Question 250297: A rectangle whose length is 3cm more than its width has an area of 40 square centimeters. Find the length and the width of this rectangle.
Click here to see answer by checkley77(12844)

Question 250370: A chemist has a beaker of a 3% acid solution and a beaker of a 7% acid solution. He needs to make 75ml of a 4% acid solution. complete the table.
a.
3%solution + 7%solution = 4%solution
amount of solution(ml) ____x + ______y =
amount of acid (ml) ____x + ______y = 0.04(75)
b. Use the informaiton in the table to write a system of linear equations.
c. Solve the system of equations to find how much he will use from each beaker.
Click here to see answer by richwmiller(17219)

Question 250427: how many pounds of walnuts which costs $4 per puondmust be mixed with 25 pounds of almondscosting $7.50 per pound to make a mixture which will cost $6.50 per pound?
Click here to see answer by Fombitz(32388)

Question 250544: Suppose a hexagon has vertex angles, x, x+5�, 130�, x+5�, x and 130�. (So this is not a regular hexagon, just an irregular six-sided figure.) What is x?
Click here to see answer by stanbon(75887)

Question 250545: Convert 22 yards into meters. (Assume 1 inch is 2.5 cm) Show your work.
Click here to see answer by richwmiller(17219)

Question 250546: A right circular cylinder has a surface area of 112pi. If the height of the cylinder is 10 find the radius of its base. Show your work.
Click here to see answer by richwmiller(17219)

Question 250710: Can you explain how to do mixture formulas such as:
How many liters of 30% alcohol must be mixed with 20 liters of 80% alcohol to obtain a 50% alcohol solution?
Click here to see answer by richwmiller(17219)

Question 251368: How many pounds of hazelnut coffee beans selling for $2.80 per pound should be mixed with 2 pounds of regular coffee beans selling for $1.50 per pound, to obtain a mixture selling for $2.56 per pound?
Click here to see answer by richwmiller(17219)

Question 251464: Mixture A is 7.5% acid. To raise the concentration of acid to 10%, some pure acid will be added to the mixture. How many liters of mixture A and how many liters of pure acid are needed to end up with 200 liters of 10% solution.
Not sure if I started it out right, that's why I'm here!
x = pure acid
A = Mixture A
7.5 + x = (200)(.10) x = 12.5 liters
If that's right, I'm not sure where to go from there. If you can help me, that would be great! Thank you.
Click here to see answer by Theo(13342)

Question 251503: A car radiator contains 5 liters of a 25% antifreeze solution. How many liters must be removed and replaced by a 75% antifreeze solution to leave the radiator filled with a 55% antifreeze solution?
Click here to see answer by nerdybill(7384)

Question 251549: A cubic shipping container had a volume of v3 cubic meters. The height of the container was decreased by a whole number of meters and the width was increased by a whole number of meters so that the volume of the container is now v3 + 2v2 � 3v. Find out the following:
a. By how many meters the height was decreased?
b. By how many meters the width was increased?

Click here to see answer by Theo(13342)

Question 251686: A boy made 40 quarts of lemonade, which contained 20% lemon. How much water
would he have to add to reduce it to 10% lemon?
Click here to see answer by stanbon(75887)

Question 251686: A boy made 40 quarts of lemonade, which contained 20% lemon. How much water
would he have to add to reduce it to 10% lemon?
Click here to see answer by richwmiller(17219)

Question 251550: At the beginning of each year for 5 years, Cindy invests in a mutual fund with an average annual return of �r�. The first year she invests $10, the second year $20, the third year $30, the forth year $40 and the fifth year $50. If we assume that x = 1 + r, then at the end of the first year (just before next investment) the value is 10x dollars. Because $20 is then added to the 10x dollars, the amount at the end of second year will be (10x + 20)x dollars and so on. Find:
a. A polynomial in �x� that represents the value of the investment at the end of the fifth year.
b. How much money will Cindy have after 5 years if r = 8%?

Click here to see answer by Theo(13342)

Question 251692: A grocer wishes to combine 75-cent candy with 50-cent candy to make 40 pounds of
a mixture he can sell for 65 cents a pound. How much of each kind should he use?
Click here to see answer by richwmiller(17219)

Question 251732: How much soil containing 45% sand do you need to add to 1 ft3 of soil containing 15% sand in order to make a soil containing 35% sand?
Click here to see answer by ptaylor(2198)

Question 251728: 9 gal of sugar solution was mixed with 6 gal of a 90% sugar solution to make 84%
sugar solutuin. Find a percent concentration of the first solution.
Click here to see answer by edjones(8007)

Question 251730: How many 6 mg of mg of a metal containing 45% nickel must be combined with 6 mg of pure nickel to form an alloy containing 78% nickel?
Click here to see answer by checkley77(12844)

Question 251729: 16 lbs of Brand M Cinnamon was made by combining 12 lb of Indonesian Cinnamon which costs $19/lb with 4 lb of Thaai cinnamon which costs $11/lb find the cost per lb of the mixture.
Click here to see answer by checkley77(12844)

Question 251842: A grocer wishes to mix $1.20 tea with $1.50 tea to make a mixture of 60 pounds worth $1.30 a pound. How many pounds of each kind must he mix?
Click here to see answer by richwmiller(17219)

Question 251761: An environmental group estimates that the amount of pollution in a pond will decrease by 10% each month. To determine the concentration C, of pollutants (in parts per million) after (m) months, the group uses the function C(m)=23(0.95)^m
1) to the nearest tenth, what will be the concentration of pollutants in the pond in 5 years?
(2) What was the initial concentration of pollutants in the pond?

Click here to see answer by nerdybill(7384)

Question 251849: A chemist has two alcohol-in-water solutions, one 20% alcohol and the other 50%.
She needs a solution that is 45% alcohol. In what ratio should she mix the weaker
to the stronger alcohol solutions?
Click here to see answer by nyc_function(2741)

Question 252173: a chemist has one solution that is 80% acid and another that is 30% acid. how much of each solution is needed to make a 9 200l solution that is 62% acid?
Click here to see answer by drk(1908)

Question 252162: A shopkeeper has 4 types of cooking oil which are Rs.70,Rs.90, Rs100 and 150 per each respectively if he mixed the first two types of oil and last two type in the equal quantities. what is the ratio of oil in the mixture so that the price of the mixture of oil per liter is Rs.98?

Click here to see answer by palanisamy(496)

Question 252193: I need help on setting up this word problem in a chart. I don't know which one is x and which is y. I think one of the equations is x+y=10, but I don't know what the other is.
For extremely cold temperatures, an automobile manufacturer recommends that a 60% antifreeze and 40% water mix be used in the cooling system of a car. How many quarts of pure (100%) antifreeze and 50% antifreeze and 50% water mix should be combined to make 10 quarts of 60% antifreeze and 40% water mix?
Click here to see answer by drk(1908)

Question 251187: A population of iguanas on the Galapagos Islands has 20 individuals with webbed feet and 180 individuals with the dominant trait of non-webbed feet. What are the frequencies of webbed feet and non-webbed feet traits in this population?
Click here to see answer by checkley77(12844)

Question 252219: A chemist needs 80milliliters of a 25% solution but only has a 22% and a 30% solution available. find how many Milliliters of each solution should be mixed to get the desired solution
Click here to see answer by checkley77(12844)

Question 252331: Chemistry: Salt Solution. 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 Alan3354(69443)

Question 252331: Chemistry: Salt Solution. 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 oberobic(2304)

Question 252459: How many grams of pure silver and how many grams of an alloy that is 65% silver should be. melted together to produce 56g of an alloy that is 80% silver?
Click here to see answer by richwmiller(17219)

Question 252478: How much sugar (g) do I need to make a 20% solution, total volume = 1 gallon?
Click here to see answer by ankor@dixie-net.com(22740)

Question 252487: how much pure acid is in 800 gallons of a 38% acid soloution
Click here to see answer by richwmiller(17219)

Question 252487: how much pure acid is in 800 gallons of a 38% acid soloution
Click here to see answer by drk(1908)

Question 252493: a paint company wants to make a 40% solution from a 25% solution and 50% solution of a chemical. how many gallons of the 25% and 50% mixture do they need to make 100 gallons of the 40% mixture?
Click here to see answer by ankor@dixie-net.com(22740)

Question 250904: thirty kg of nickel that was 38% pure was mixed with a nickel alloy that was 28%pure. how many kg of each kind were used to produce and alloy that was 32% pure.
Click here to see answer by checkley77(12844)

Question 250801: A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90� a pound. How many pounds of the $1.50 chocolate were used to make the mixture?
A)15
B)10
C)12

Click here to see answer by Theo(13342)

Question 252635: A 400 gram solution made up of 40% sugar must be added to a 200 gram solution. What should be the percentage of sugar in 200gram of solution in order to produce a 38% sugar solution?
Click here to see answer by drk(1908)

Question 250635: There are twelve possible pentominoes. Create a rectangle using each of the pentominoes exactly once. Show your work.
Click here to see answer by checkley77(12844)

Question 250615: The sterilization tank contains 100 gallons of a solution of 2% ordinary household bleach mixed with pure distilled water. New research indicates that the concentration of bleach should be 5% for complete sterilization. How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level?

Click here to see answer by Theo(13342)

Question 250376: how many milligrams of metal that contains 45% nickel must be combined of 6 milligrams of 100% nickel to get 78% nickel
Click here to see answer by drk(1908)

Question 250298: Suppose a hexagon has vertex angles, x, x+5�, 130�, x+5�, x and 130�. (So this is not a regular hexagon, just an irregular six-sided figure.) What is x?
Click here to see answer by Greenfinch(383)

Question 250300: A right circular cylinder has a surface area of 112π. If the height of the cylinder is 10 find the radius of its base.
Click here to see answer by Greenfinch(383)

Question 250380: The sterilization tank contains 100 gallons of a solution of 2% ordinary household bleach mixed with pure distilled water. New research indicates that the concentration of bleach should be 5% for complete sterilization. How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level?
Click here to see answer by Greenfinch(383)

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