Tutors Answer Your Questions about Mixture Word Problems (FREE)
Question 433981: 10 gallons of a 15.0% alcohol solution are to be mixed with a 28.0% alcohol solution to make a 20.0% alcohol solution. How many gallons of a 28.0% alcohol must be used? How many gallons of a 20.0% alcohol solution are made?
Click here to see answer by ikleyn(53418)   |
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 ikleyn(53418) |
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 ikleyn(53418) |
Question 45662: Hi again,
I need some assistance with this mixture problem:
It takes a pipe 10 minutes less than another one to fill a tank of water. Both pipes together can fill the tank in 12 minutes. How long will it take each one to fill the tank separately?
I am having trouble on how to start setting the equation up.
Thanks again,
Lou
Click here to see answer by ikleyn(53418) |
Question 45662: Hi again,
I need some assistance with this mixture problem:
It takes a pipe 10 minutes less than another one to fill a tank of water. Both pipes together can fill the tank in 12 minutes. How long will it take each one to fill the tank separately?
I am having trouble on how to start setting the equation up.
Thanks again,
Lou
Click here to see answer by MathTherapy(10584)  |
Question 740885: The coffee merchant wants to blend a mildly strong coffee called Nervous Nellie with an extremely strong coffee called Nervous Breakdown to create a medium strength coffee he plans to call Nervous Wreck. If the Nellie flavor costs $1.20 per pound and the Breakdown flavor costs $1.40 per pound, how many pounds of the Nellie is needed to create a 30 pound blend which costs $1.35 per pound?
Please include how you got the solution
Click here to see answer by timofer(136) |
Question 740885: The coffee merchant wants to blend a mildly strong coffee called Nervous Nellie with an extremely strong coffee called Nervous Breakdown to create a medium strength coffee he plans to call Nervous Wreck. If the Nellie flavor costs $1.20 per pound and the Breakdown flavor costs $1.40 per pound, how many pounds of the Nellie is needed to create a 30 pound blend which costs $1.35 per pound?
Please include how you got the solution
Click here to see answer by greenestamps(13258)  |
Question 740885: The coffee merchant wants to blend a mildly strong coffee called Nervous Nellie with an extremely strong coffee called Nervous Breakdown to create a medium strength coffee he plans to call Nervous Wreck. If the Nellie flavor costs $1.20 per pound and the Breakdown flavor costs $1.40 per pound, how many pounds of the Nellie is needed to create a 30 pound blend which costs $1.35 per pound?
Please include how you got the solution
Click here to see answer by ikleyn(53418) |
Question 740881: If the snack mix is made of sea monster scales, which cost $3.50 per pound , and baby whale barnacles, which cost $5 per pound, how many pounds of sea monster scales will she need to create s 45 pound blend thats worth $4.50 per pound
Click here to see answer by greenestamps(13258) |
Question 740881: If the snack mix is made of sea monster scales, which cost $3.50 per pound , and baby whale barnacles, which cost $5 per pound, how many pounds of sea monster scales will she need to create s 45 pound blend thats worth $4.50 per pound
Click here to see answer by josgarithmetic(39701) |
Question 740881: If the snack mix is made of sea monster scales, which cost $3.50 per pound , and baby whale barnacles, which cost $5 per pound, how many pounds of sea monster scales will she need to create s 45 pound blend thats worth $4.50 per pound
Click here to see answer by ikleyn(53418) |
Question 740890: The coffee merchant wants to blend a mildly strong coffee called Nervous Nellie with an extremely strong coffee called Nervous Breakdown to create a medium strength coffee he plans to call Nervous Wreck. If the Nellie flavor costs $1.20 per pound and the Breakdown flavor costs $1.40 per pound, how many pounds of the Nellie is needed to create a 30 pound blend which costs $1.35 per pound?
Click here to see answer by greenestamps(13258) |
Question 740890: The coffee merchant wants to blend a mildly strong coffee called Nervous Nellie with an extremely strong coffee called Nervous Breakdown to create a medium strength coffee he plans to call Nervous Wreck. If the Nellie flavor costs $1.20 per pound and the Breakdown flavor costs $1.40 per pound, how many pounds of the Nellie is needed to create a 30 pound blend which costs $1.35 per pound?
Click here to see answer by ikleyn(53418) |
Question 1168193: The birth weights for twins are normally distributed with a mean of 2350 grams and a standard deviation of 645 grams. Identify z-scores and determine the birth weight of 2255 could be considered unusual.
Click here to see answer by CPhill(2138)  |
Question 1174704: A fruit juice company makes two special drinks by blending
apple and pineapple juices. The first drink uses 30% apple
juice and 70% pineapple, while the second drink uses 60%
apple and 40% pineapple. There are 1000 liters of apple and
1500 liters of pineapple juice available. If the profit for the
first drink is $0.60 per liter and that for the second drink is
$0.50, use the simplex method to find the number of liters of
each drink that should be produced in order to maximize the
profit.
Click here to see answer by CPhill(2138) |
Question 1181641: An oil refinery refines types A and B of crude oil and can refine as much as 4000 barrels each week. Type A crude has 2 kg of impurities per barrel, type B has 3 kg of impurities per barrel,and the refinery can handle no more than 9000 kg of these impurities each week.How much of each type should be refined in order to maximize profits, if the profit is R25/barrel for type A and R30/barrel for type B?
Click here to see answer by ikleyn(53418) |
Question 1181641: An oil refinery refines types A and B of crude oil and can refine as much as 4000 barrels each week. Type A crude has 2 kg of impurities per barrel, type B has 3 kg of impurities per barrel,and the refinery can handle no more than 9000 kg of these impurities each week.How much of each type should be refined in order to maximize profits, if the profit is R25/barrel for type A and R30/barrel for type B?
Click here to see answer by greenestamps(13258) |
Question 1181641: An oil refinery refines types A and B of crude oil and can refine as much as 4000 barrels each week. Type A crude has 2 kg of impurities per barrel, type B has 3 kg of impurities per barrel,and the refinery can handle no more than 9000 kg of these impurities each week.How much of each type should be refined in order to maximize profits, if the profit is R25/barrel for type A and R30/barrel for type B?
Click here to see answer by CPhill(2138) |
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(2138) |
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(2138) |
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(2138) |
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(3828) |
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 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 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(2138) |
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(10584) |
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(53418) |
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(136) |
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(39701) |
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(53418) |
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