Tutors Answer Your Questions about Mixture Word Problems (FREE)
Question 1207014: 1.
A mixture A contains milk and water in the ratio 7: 2 and this mixture A is
mixed in the ratio 1: 3 with another mixture of milk and water in which ratio of
milk and water is 4:5 to form mixture B. Mixture A and B are mixed in the ratio
1: 2 to form mixture C and this mixture C is mixed in the ratio 6: 5 with
another mixture of milk and water in which ratio of milk and water is 3: 2 to
form mixture D. Mixture B and D are mixed in the ratio 22: 17 to form another
mixture E.
(a)Mixture B is sold after mixing 92 litres of pure milk to it and total profit
percent earned after selling the mixture is 75 percent, then what is the amount
of milk in the mixture B initially?
Click here to see answer by ikleyn(52787)   |
Question 1207292: 360L of paint is made by mixing 3 paints A, B C . the ratio by amount of paint A to B is 3:2 and that of B to C is 1:2 Paint A costs 1800 per liter Paint B costs 2400 per liter and Paint C 1275 per litre . find the amount of each paint , the amount of money needed to make one liter of the mixture
Click here to see answer by Theo(13342)  |
Question 1207292: 360L of paint is made by mixing 3 paints A, B C . the ratio by amount of paint A to B is 3:2 and that of B to C is 1:2 Paint A costs 1800 per liter Paint B costs 2400 per liter and Paint C 1275 per litre . find the amount of each paint , the amount of money needed to make one liter of the mixture
Click here to see answer by ikleyn(52787) |
Question 1207292: 360L of paint is made by mixing 3 paints A, B C . the ratio by amount of paint A to B is 3:2 and that of B to C is 1:2 Paint A costs 1800 per liter Paint B costs 2400 per liter and Paint C 1275 per litre . find the amount of each paint , the amount of money needed to make one liter of the mixture
Click here to see answer by greenestamps(13200)  |
Question 1207744: A coffee manufacturer wants to market a new blend of coffee that sells for $3.90 per pound by mixing two coffees that sell for $2.75 and $5 per pound,respectively.What amounts of each coffee should be blended to obtain the desired mixture?
[Hint:Assume that the total weight of the desired blend is 100 pounds.]
Let me see.
Let x = one type of coffee
Let y = another type of coffee
Here is my set up:
a + b = 100
2.75a + 5.00b = 100(3.90)
Is this correct?
Click here to see answer by josgarithmetic(39617) |
Question 1207744: A coffee manufacturer wants to market a new blend of coffee that sells for $3.90 per pound by mixing two coffees that sell for $2.75 and $5 per pound,respectively.What amounts of each coffee should be blended to obtain the desired mixture?
[Hint:Assume that the total weight of the desired blend is 100 pounds.]
Let me see.
Let x = one type of coffee
Let y = another type of coffee
Here is my set up:
a + b = 100
2.75a + 5.00b = 100(3.90)
Is this correct?
Click here to see answer by ikleyn(52787) |
Question 1207745: A candy store sells boxes of candy containing caramels and cremes.Each box sells for $12.50 and holds 30 pieces of candy (all pieces are the same size).If the caramels cost $0.25 to produce and the cremes cost $0.45 to produce,how many of each should be in a box to make a profit of $3?
Click here to see answer by mananth(16946)  |
Question 1207745: A candy store sells boxes of candy containing caramels and cremes.Each box sells for $12.50 and holds 30 pieces of candy (all pieces are the same size).If the caramels cost $0.25 to produce and the cremes cost $0.45 to produce,how many of each should be in a box to make a profit of $3?
Click here to see answer by greenestamps(13200) |
Question 1207745: A candy store sells boxes of candy containing caramels and cremes.Each box sells for $12.50 and holds 30 pieces of candy (all pieces are the same size).If the caramels cost $0.25 to produce and the cremes cost $0.45 to produce,how many of each should be in a box to make a profit of $3?
Click here to see answer by mccravyedwin(407)  |
Question 1207753: The cooling system of a certain foreign-made car has a capacity of 15 liters. If the system is filled with a mixture that is 40% antifreeze, how much of this mixture should be drained and replaced by pure antifreeze so that the system is filled with a solution that is 60% antifreeze?
Let me see.
Mixture 1 + mixture 2 = total mixture
15(0.40) + x = 0.60(x + 15)
Is this the correct set up?
Click here to see answer by josgarithmetic(39617) |
Question 1207753: The cooling system of a certain foreign-made car has a capacity of 15 liters. If the system is filled with a mixture that is 40% antifreeze, how much of this mixture should be drained and replaced by pure antifreeze so that the system is filled with a solution that is 60% antifreeze?
Let me see.
Mixture 1 + mixture 2 = total mixture
15(0.40) + x = 0.60(x + 15)
Is this the correct set up?
Click here to see answer by ikleyn(52787) |
Question 1207753: The cooling system of a certain foreign-made car has a capacity of 15 liters. If the system is filled with a mixture that is 40% antifreeze, how much of this mixture should be drained and replaced by pure antifreeze so that the system is filled with a solution that is 60% antifreeze?
Let me see.
Mixture 1 + mixture 2 = total mixture
15(0.40) + x = 0.60(x + 15)
Is this the correct set up?
Click here to see answer by greenestamps(13200) |
Question 1207766: A 20-pound bag of Economy brand cement mix contains 25% cement and 75% sand. How much pure cement must be added to produce a cement mix that is 40% cement?
I came up with this equation:
0.25x + 0.75x = 0.40(2x)
You say?
Click here to see answer by ikleyn(52787) |
Question 1207793: How much water should be added to 64 ounces of a 10% salt solution to make a 2% salt solution?
Let me see.
My equation is this one:
(6.4)/(64 + x) = 0.02, where x represents the amount of water that needs to be added.
You say?
Click here to see answer by ikleyn(52787) |
Question 1207794: A laboratory has 60 cubic centimeters (cm^3) of a solution that is 40% HCl acid. How many cubic centimeters of a 15% solution of HCl acid should be mixed with the 60 cm^3 of 40% acid to obtain a solution of 25% HCl? How much of the 25% solution is there?
24 + x(0.15) + 0.40(x + 60) = 0.25(60)
Is this equation correct?
Click here to see answer by josgarithmetic(39617) |
Question 1207794: A laboratory has 60 cubic centimeters (cm^3) of a solution that is 40% HCl acid. How many cubic centimeters of a 15% solution of HCl acid should be mixed with the 60 cm^3 of 40% acid to obtain a solution of 25% HCl? How much of the 25% solution is there?
24 + x(0.15) + 0.40(x + 60) = 0.25(60)
Is this equation correct?
Click here to see answer by ikleyn(52787) |
Question 1207820: A laboratory has 60 cubic centimeters (cm^3) of a solution that is 40% HCl acid. How many cubic centimeters of a 15% solution of HCl acid should be mixed with the 60 cm^3 of 40% acid to obtain a solution of 25% HCl? How much of the 25% solution is there?
Click here to see answer by josgarithmetic(39617) |
Question 1207820: A laboratory has 60 cubic centimeters (cm^3) of a solution that is 40% HCl acid. How many cubic centimeters of a 15% solution of HCl acid should be mixed with the 60 cm^3 of 40% acid to obtain a solution of 25% HCl? How much of the 25% solution is there?
Click here to see answer by greenestamps(13200) |
Question 1208320: Tran drives a truck as a independent contractor. He bills himself out at $38 per hour Tran has a contract that calls for him to leave a dock at 10 pm and trave 540 miles to a warehouse Tran has driven this route many times and figure that he can travel at an average speed of 60 miles per hour . How much money does Tran expect to earn from this contract
Click here to see answer by ikleyn(52787) |
Question 1208492: A candy company sells premium chocolate at $5 per pound and regular chocolates at $4 per pound. If Barrett buys a 7-pound box of chocolates that costs him $31, how many pounds of premium chocolates are in the box?
Click here to see answer by ikleyn(52787) |
Question 1208969: The cooling system of a certain foreign-made car has a capacity of 15 liters. If the system is filled with a mixture that is 40% antifreeze, how much of this mixture should be drained and replaced by pure antifreeze so that the system is filled with a solution that is 60% antifreeze?
Click here to see answer by ikleyn(52787) |
Question 1208969: The cooling system of a certain foreign-made car has a capacity of 15 liters. If the system is filled with a mixture that is 40% antifreeze, how much of this mixture should be drained and replaced by pure antifreeze so that the system is filled with a solution that is 60% antifreeze?
Click here to see answer by josgarithmetic(39617) |
Question 1208989: A 20-pound bag of Economy brand cement mix contains 25% cement and 75% sand. How much pure cement must be added to produce a cement mix that is 40% cement?
I think the equation should look like this:
%•amount + %•amount = %(mixture)
0.25(20) + 0.75(x) = 0.40(x + 20)
Is this correct?
Click here to see answer by ikleyn(52787) |
Question 1208989: A 20-pound bag of Economy brand cement mix contains 25% cement and 75% sand. How much pure cement must be added to produce a cement mix that is 40% cement?
I think the equation should look like this:
%•amount + %•amount = %(mixture)
0.25(20) + 0.75(x) = 0.40(x + 20)
Is this correct?
Click here to see answer by MathTherapy(10552)  |
Question 1208997: The purity of gold is measured in karats, with pure gold being 24 karats. Other purities of gold are expressed as proportional parts of pure gold.Thus, 18-karat gold is 18/24 , or 75% pure gold; 12-karat gold is 12/24 , or 50% pure gold; and so on. How much 12-karat gold should be mixed with pure gold to obtain 60 grams of 16-karat gold?
Click here to see answer by timofer(104) |
Question 1206624: A computer company checks every computer it produces before shipping. Each computer undergoes a series of 100 tests. The number of tests it fails will be used to determine whether the computer is Good or Defective. If it fails more than a certain number, it will be classified as Defective and will not be shipped. From past history, the distribution of the number of tests failed is known for both Good and Defective computers. The probabilities associated with each outcome are listed in the table below:
NUMBER OF TEST FAILED 0 1 2 3 4 5 MORE THAN 5
GOOD % 80 12 2 3 2 1 0
DEFECTIVE% 0 10 70 5 4 1 10
The table indicates, for example, that 80% of Good computers will have exactly 0 failures in 100 tests, while 70% of Defective computers have exactly 2 failures in 100 tests.
This is a hypothesis-testing situation.
Null hypothesis: computer is Good
Alternative hypothesis: computer is Defective.
The computer will be declared Defective (reject null hypothesis) if it fails at least 3 tests (3 or more).
Part a)
Suppose we test a computer and it fails 2 tests. What is the associated p-value?
Part b)
In this example what would a type I error be?
What is a consequence for the company if they make a type I error?
What is the probability of a Type I error?
Part c)
In this example what would a type II error be?
What is a consequence for the company if they make a type II error?
What is the probability of a Type II error?
Part d)
Do you think that the standard of declaring a computer Defective if it fails at least 3 tests (3 or more) is reasonable? Use the risk of type I and type II error to justify your opinion.
Click here to see answer by CPhill(1959)  |
Question 1202958: The weights of suitcases taken by travelers on international journeys are known to follow a distribution that is skewed to the right with mean = 18kg and standard deviation = 5kg. A certain flight has total weight limit on suitcases of 3500 kg. What is the probability that this weight limit will be exceeded if the total number of suitcases on board is :
(a) 190?
(b) 200?
(c) 202?
(d) 204?
(e) 205?
Click here to see answer by ElectricPavlov(122) |
Question 1204112: Word Problem Create a mch Find the matart vector in each problem and direction
1. An airplane is flying 340 km/hr at 12° North of Pan. The wind is blowing 40 km at 34° South of East What is the plane actual velocity?
Click here to see answer by asinus(45) |
Question 1209380: A combination lock has the integers 1 through 20 on its dial. Opening the lock requires a combination consisting of 3 of these integers, all different from one another and in a particular order. How many different combinations are possible for this lock?
Click here to see answer by math_tutor2020(3817) |
Question 1186887: Anne is planning to improve her trail mix recipe by adding some chocolate chips. Her original trail mix costs 430php/500g, and she can afford to spend 70php/500g more for a more chocolate-y taste. If she buys chocolate chips at 250php/100g, how much more chocolate chips can she add to 500g of her original trail mix? These are the choices, 110/6 grams , 140/3 grams , 200/3 grams , 150/6 grams. I already tried mixing up the values, pls help. thanks in advance.
Click here to see answer by CPhill(1959) |
Question 1186021: The volume of a 6 x 12-ft tank is 339.3 cu ft. It contains air at 200 psig and 85°F. How many 1-cu ft drums can be filled to 50 psig and 80°F if it is assumed that the air temperature in the tank remains at 85°F? The drums have been sitting around in the atmosphere which is at 14.7 psia and 80°F.
Click here to see answer by CPhill(1959) |
Question 1183246: Let P = 0.09q + 50 be the supply equation for a manufacturer. The demand equation for his product is:
P = 0.07q + 65
If a tax of N1.50/unit is to be imposed on the manufacturer, how will the original equilibrium price be effected if the demand remains the same?
Determine the total revenue obtained by the manufacturer at the equilibrium point, both before and after the tax.
Click here to see answer by CPhill(1959) |
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