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Tutors Answer Your Questions about Mixture Word Problems (FREE)


Question 203260: A solution of salt and water contains 18 ounces of pure salt and 36 ounces of water. How many ounces of water must be added to obtain a 24% pure salt solution?

I have tried many different solutions and I feel there is something more needed on the right hand side of the equation, but I can't figure it out.
1) x+36
---- = 24%
x+54
2) x+18
---- = 24%
x+24

Click here to see answer by nerdybill(2446) About Me 

Question 203275: Planters peanut company wants to mix 20 0f peanuts worth $3 a pound with cashews worth $5 a pound in order to make a mix worth $3.50 a pound. How many pounds of cashews should be added to the peanuts?
Click here to see answer by Edwin McCravy(2921) About Me 

Question 203345: Soybean meal is 18% protein; cornmeal is 9% protein. How many pounds of each should be mixed together in order to get 360 pound mixture that is 17% protein?
How many pounds of the cornmeal should be in the mixture?
How may pounds of the soybean meal should be in the mixture?

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 203401This question is from textbook
: Dory has a solution that is 65% boric acid and a solution that is 15% boric acid. How much of each should she use to obtain 300 ml of a solution that is 35% boric acid?This question is from textbook

Click here to see answer by rfer(2688) About Me 

Question 203665: 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(6693) About Me 

Question 203684: How many liters of a 10% alcohol solution should be mixed with 12 liters of a 20% alcohol solution to obtain a 14% alcohol solution?
Click here to see answer by scott8148(3382) About Me 

Question 204530: need help urgent!
1. A water tank has two valves, A and B. When only valve A is open, the tank is emptied in 6 hours. Furthermore, it takes twelves hours to empty the tank if only valve B is open. How long will it take to empty the tank if both valves are open?
2. An 8-liter solution is 25% alcohol. How much water must be added to reduce the concentration of alcohol in the solution to 20%?

Click here to see answer by alicealc(98) About Me 

Question 204585: 1 cup = 16 tablespoons
1 tablespoon = 3 teaspoons

A certain recipe calls for ¼ cup of white sugar, ½ cup of brown sugar, 2 ¼ cups of flour, ¼ teaspoon of salt, and 2 tablespoons of cornstarch. The amount of cornstarch called for is approximately what fraction of the total amount of sugar called for?

Click here to see answer by ptaylor(1578) About Me 

Question 204886: 2. Let the equation f(x) = 1.2 ln x + 2.3 represent the wind speed in meters per second at a height x meters above the ground.
a. Find the wind speed at 4 meters above ground.
b. Estimate the height needed to achieve a wind speed of 6 meters per second.

Click here to see answer by alicealc(98) About Me 

Question 204889: 5. 5. A 200 lb batch of feed is being formulated using corn, dried distiller’s grain (DDGs) and soybean meal. The corn is 6.5% crude protein and the soybean meal is 45% crude protein. Dried distiller’s grain is 27% crude protein. The final diet should be 15% crude protein. The final diet will include 20 lbs of DDGs. How much corn and soybean meal should be added to mix this batch of feed?
(HINT: Take x to be lbs of corn, y to be lbs of soybean meal, z to be lbs of DDGs. You already know what one of these should be.)

Click here to see answer by ptaylor(1578) About Me 

Question 204888: 4. A 200 lb batch of feed is being formulated using corn and soybean meal. The corn is 6.5% crude protein and the soybean meal is 45% crude protein. The final diet should be 15% crude protein. How much of each ingredient should be added to mix this batch of feed?
(HINT: Take x to be the lbs of corn and y to be the lbs of soybean meal. Develop two equations and solve them.)


Click here to see answer by ptaylor(1578) About Me 

Question 205062This question is from textbook intermediate algegra
: Five-sixths of a number is -60. What is the number? I have an answer in mind want to see if i am thinking correctly.This question is from textbook intermediate algegra

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 205507: Conditional Probability/Bayes' Formula/Independent Events
Not sure which one the below is; can anyone help? thank you!!
A legislative committee consists of 7 Democrats, 5 Republicans, and 1 Independent. A delegation of 3 is selected to visit a small Pacific island republic:
a) How many different delegations are possible?
b) How many different delegations consist of at least 1 Republican?

Click here to see answer by Edwin McCravy(2921) About Me 

Question 205508: Conditional Probability/Bayes' Formula/Independent Events
Not sure which one the below is; can anyone help? thank you!!
A legislative committee consists of 7 Democrats, 5 Republicans, and 1 Independent. A delegation of 3 is selected to visit a small Pacific island republic:
a) How many different delegations are possible?
b) How many different delegations consist of at least 1 Republican?

Click here to see answer by stanbon(26261) About Me 

Question 205466: Yogurt blends regular yogurt that is 3% fat with its no fat yogurt to obtain lowfat yogurt that is 1%. How many pounds of regular yogurt and how many pounds of no fat yogurt should be mixed to obtain 60 pounds of low fat yogurt?
Click here to see answer by ptaylor(1578) About Me 

Question 205723: Guy Wire. How long is a guy wire reaching from the top of a 21 ft pole to a point on the ground 14 feet from the pole?
Click here to see answer by RAY100(1637) About Me 

Question 205884: The speed of a boat in still water is 15 km/h. The boat travels 40 km upstream and 40 km downstream in a total of 6 hours. What is the speed of the stream?
Click here to see answer by scott8148(3382) About Me 

Question 205929: 1.)A student assistant for a chemistry, department was instructed to prepare 5 liters of an 8% sulfuric acid solution. In the supply room, flask A has a solution that is 5% and flask B has a solution that is 10%. How many liters from flask A&B,respectively, should the assistant mix to the required concentration.
Click here to see answer by rfer(2688) About Me 

Question 205961: HOW MUCH WATER MUST BE ADDED TO 20L OF A 10% SOLUTION OF A BORIC ACID TO REDUCE IT'S CONCENTRATION INTO A 4% SOLUTION?
Click here to see answer by Alan3354(6078) About Me 

Question 206026: Sam found a number of nickels, dimes, and quarters inhis room. He found 6 more dimes than mickels but three times as many quarters as dimes. The total value of the coins was $11.40. howmany coins of each type did Sam find?
Click here to see answer by Alan3354(6078) About Me 

Question 206045This question is from textbook
: Hi,
Can someone please help me, I have tried to answer these problem and since I have been out of school for 15 years I lost.
1. Make a conjecture about the relationship between the original number and the final number in the following process.
Pick a number
Multiply the number by 5
Add 10 to the product
Divide the sum by 5
Subtract 1 from the quotient

This is the answer I got but I think it wrong
Answer:
Pick a number: let X be number
Multiply the number by: 5*X
Add 10 to the product: 5*X + 10
Divide the sum by 5: I get 1*X +10
Subtract 5 from the quotient: I get 1*X+5 so the original number X and the output is 1*X+5

2. Estimate: 0.5162 + 9.436 + 350.12 + 800. 25 + 25.78
Answer: 1186

3.Estimate: 3004 x 5982
My Answer: estimation 18000000
4. Estimate the area of the rectangle in square units. Each square represents 1 square unit.
Answer:
I do not know how to answer this question
Thank you
Sammie
This question is from textbook

Click here to see answer by jim_thompson5910(13787) About Me 

Question 206188: how many gallons of a 50% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 40% antifreeze
Click here to see answer by Marth(57) About Me 

Question 206285: A chemist has two solutions of H2SO4 one has 40% concentrate and the other has a 25% concentrate. Eash solution mustbe mixed to obtain 60 liters of a 30% solution?
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 206292: Please Help!!
A pharmicist wishes to mix a solution that is 5% minoxisil. She has on hand 100 ml of a 3% solution & wishes to add some 7% solution to obtain the desired 5% solution. How much 7% solution should she add??

Click here to see answer by scott8148(3382) About Me 

Question 206391: Soybean meal is 14% protein: cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280 lbs mixture that is 8% protein?
Click here to see answer by rfer(2688) About Me 

Question 206440: I am totally lost in this. I have no idea what these symbols even mean. I am getting know where with my professor. Can someone please help and explain. Thank you in advance for your time.
Rachel M.
Given A = {1, 2, 3, 4}, B = {3, 4, 5, 6,}, and C = {4, 6, 7}. Evaluate each set
a) A ∩ B
b) A ∩ C
c) A U C
d) B U C
e) (A U B) ∩ C
f) A U (B U C)
g) (A ∩ B) ∩ C
h) (A ∩ B) U C

Click here to see answer by stanbon(26261) About Me 

Question 206409: Two pumps are used to fill a water storage tank at a resort. One pump can fill the tank by itself in 9 hours, and the other can fill it in 6 hours. How long will it take both pumps operating together to fill the tank?
Click here to see answer by stanbon(26261) About Me 

Question 206585: How much 1% fat milk should we mix with 15% fat cream to obtain 5 litres of 3% fat mixture?
(A) 5/7 l. (B) 1 l. (C) 3 l. (D) 4 l. (E) 30/7 l.

Click here to see answer by checkley77(7049) About Me 

Question 206651This question is from textbook
: Hello,
Can someone please help me with the following:
I not sure if my answer is right.

Write the following in roster form: Set N is the set of natural numbers between two and nine.
My Answer is: N= 2, 3, 4, 5, 6, 7, 8, 9

Thank you,
Sammie
This question is from textbook

Click here to see answer by jim_thompson5910(13787) About Me 

Question 206649This question is from textbook
:
Hello,
Can someone please help with this problem.

1. Answer “Yes” or “No” for each question
If A  B and B  C, can you conclude that A  C? Can you conclude that A  C?
If A  B and B  C, can you conclude that A  C? Can you conclude that A  C?
If A  B and B  C, can you conclude that A  C? Can you conclude that A  C?
Answer:
If A  B and B  C then A  C
If A  B and A  C then A  C
I do not know why the symbols are squares.
Thank you,
S
Those are the yes answers
This question is from textbook

Click here to see answer by jim_thompson5910(13787) About Me 

Question 206751This question is from textbook
: Hello Jim Thompson
Thank you for helping me, I sorry I am a lot of trouble but, since I been out of school for 15 years its tough.
1. If A  B and B  C, can you conclude that A  C? Can you conclude that A  C?
If A the symbol is a long c underlined and B the symbol is a long c underlined can you conclude that A symbol long c underlined C? Can you conclude that A symbol long c C?

2. If A  B and B  C, can you conclude that A  C? Can you conclude that A  C?
If A symbol look like a long c and B and B symbol looks like a long c C can you conclude that A symbol long c underlined Can you conclude that A symbol long c C?

3. If A  B and B  C, can you conclude that A  C? Can you conclude that A  C?
If A symbol looks like a long c underlined and B symbol looks like a long c C, can you conclude that A symbol look like a long c underlined C? Can you conclude that A symbol looks like a long c C?

I am sorry I just do not know how to do a venn diagram

4. 45 provided refrigerators in the guest rooms
37 provided laundry services
44 provided business centers
23 provided refrigerators in the guest rooms and laundry services
29 provided refrigerators in the guest rooms and business centers
21 provided laundry services and business centers
12 provided all three features


Construct a Venn diagram and use it to answer the following questions:
(a) How many of the resorts provided only refrigerators in the guest rooms?
(b) How many of the resorts provided exactly one of the features?
(c) How many of the resorts provided at least one of the features?
(d) How many of the resorts provided exactly two of the features?
(e) How many of the resorts provided none of the features?

S
This question is from textbook

Click here to see answer by Edwin McCravy(2921) About Me 

Question 206777This question is from textbook
: Hello,
Can someone please help me with the following problem, I tried and I know that the answer is wrong. I do not know how to draw a venn diagram. But I really trying.
here the problem:
45 provided refrigerators in the guest rooms
37 provided laundry services
44 provided business centers
23 provided refrigerators in the guest rooms and laundry services
29 provided refrigerators in the guest rooms and business centers
21 provided laundry services and business centers
12 provided all three features
Construct a Venn diagram and use it to answer the following questions:
(a) How many of the resorts provided only refrigerators in the guest rooms?
(b) How many of the resorts provided exactly one of the features?
(c) How many of the resorts provided at least one of the features?
(d) How many of the resorts provided exactly two of the features?
(e) How many of the resorts provided none of the features?
I going to post what I did but I know it is wrong. Please help.
45 provided refrigerators in the guest rooms
45-11-12 =5
37 provided laundry services

37-12-5 =20
44 provided business centers

44-12-17-5=10
23 provided refrigerators in the guest rooms and laundry services

23-12-5=6
29 provided refrigerators in the guest rooms and business centers

29-12=5=12
21 provided laundry services and business centers

21-12=5=4
12 provided all three features
S
This question is from textbook

Click here to see answer by stanbon(26261) About Me 

Question 206874: I've seen some pretty hardcore problems answered here so I apologize if I waste your time with this one, but I don't remember how to solve these at all :/
A pharmacist has one solution that is 20% HCI and another solution that is 80% HCI. How much of the 80% solution must be added to 10cm³ of the 20% solution to make a solution that is 60% HCI?

Click here to see answer by jim_thompson5910(13787) About Me 

Question 206818This question is from textbook
: Hi,
Can someone help me with this problem. Thank you.

1. Without writing them down, what are the number of subsets of the set A = {a, b, c, d, e}? Of set B = {a, b, c, d, e, f, g, h, i}?
This question is from textbook

Click here to see answer by Edwin McCravy(2921) About Me 

Question 207032: Anne and Nancy use a metal alloy that is 23.2% copper to make jewelry. How many ounces of a 19% alloy must be mixed with a 29% alloy to form 50 ounces of the desired alloy?


Click here to see answer by rfer(2688) About Me 

Question 207145: 1.A survey of residents in a small town showed the following:
25 ate beef 13 ate both beef and fish 9 ate all types
28 ate fish 14 ate both fish and poultry 7 ate none of them
30 ate poultry 15 ate both beef and poultry
Draw a Venn diagram. Label your diagram clearly.
Use your diagram to answer the following questions:
(a)How many ate fish, but not poultry or beef?
(b)How many ate poultry and fish, but not beef?
(c)How many ate only beef?
(d)How many ate nothing or only poultry?

Click here to see answer by rfer(2688) About Me 

Question 207144: 1.A survey of residents in a small town showed the following:
A survey of residents in a small town showed the following:
Draw a Venn diagram. Label your diagram clearly.
Use your diagram to answer the following questions:
(a)How many ate fish, but not poultry or beef?
(b)How many ate poultry and fish, but not beef?
(c)How many ate only beef?
(d)How many ate nothing or only poultry?

Click here to see answer by rfer(2688) About Me 

Question 207370This question is from textbook precalculus
: how many ounces of pure water should be added to 20 ounces of 40% solution of muriatic acid to obtain a 30% solution of muriatic acid?This question is from textbook precalculus

Click here to see answer by Alan3354(6078) About Me 

Question 207497: A postal clerk sold 75 stamps for a total of $10.85. Some of the stamps were 15-cent stamps and the remainder of the stamps were 13 cent stamps. How many of the stamps were 13 cent stamps?
Click here to see answer by stanbon(26261) About Me 

Question 207501: 1. Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100mph. train B is traveling at 125mph. Train A passes a station at 4:20 p.m. If train B passes the same station at 4:32 p.m., what time will train B catch up to train A?
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 207764This question is from textbook
: Hello,
Can someone please help me. I submitted this problem yesterday and it due in about an hour. I not sure if my answer is right.
1. When discussing arguments, truth and validity are two basic concerns. Is it possible for an argument to be valid if it is not truthful? Discuss these two concepts, using truth tables and/or examples.
Answer:
First I will start with a false premises. As long as my premises, no matter how false, add up to a logical argument. It’s valid.

For example:
All fish live in the ocean
Sea otters are fish
Therefore sea otters live in the ocean
Clearly not all fish live in the ocean and certainly sea otters aren't fish and yet it's a valid argument.

All cow fly
Molly is a cow
therefore, Molly flies
Clearly cow do not fly this is another example of false premises leading to a valid, logical conclusion.
Thank you in advance.
M
This question is from textbook

Click here to see answer by rapaljer(3620) About Me 

Question 207890: this is the given problem: Solution X is 2% alcohol and solution Y is 6% alcohol. A drugstore owner wants to mix them in order to get a 60-L of solution that is 3.2% alcohol. How many liters of each should the owner use?
Solution:
Let x = the number of liters of X
y = the number of liters of Y
-----------------------------------------------------------------
+ solution + solution + mixture +
+ X + Y + +
---------------------+-------------+------------+---------------+
amt. of solution(L) + x + y + 60 +
---------------------+-------------+------------+---------------+
percent of alcohol + 2% + 6% + 3.2% +
---------------------+-------------+------------+---------------+
amt. of alcohol in + 0.02% + 0.06% + 0.032(60)or + 0.02x + 0.06y
the mixture(L) + + + 1.92 + = 1.9
----------------------------------------------------------------+
note: to get the amount of a alcohol, we multiply the amount of solution by the percentages.
equations:
(1) x + y = 60
(2) 0.02x + 0.06y = 1.92
multiplying eq.(2) by 100, we now have this system:
(1) x + y = 60
(2)2x +6y = 192
solving the system using elimination, we first multiply eq. by -2 and add the result to eq. (2)
-2x-2y =-120
2x+6y = 192
------------
4y = 72
y = 18
solving for x, we substitute 18 in place of y in eq. (1)
x + 18 = 60
x = 42
Please help me why it was multiplied by negative 2, and where this -2 came from?

Click here to see answer by rapaljer(3620) About Me 

Question 208028: Hi! I do pretty well in algebra but when it comes to word problems I seem to have the hardest time figuring them out and wanted to if someone can help with this problem I have been stuck on for quite some time. Thanks.
Here is the problem:
A mixture, contains 32 oz. of butter, 48 oz. of sugar, 96 oz. of flour, and 54 oz. of milk. What percent of the total is each of these elements?
Here are the answers to choose from:
A. Butter: 13.9%, Sugar: 20.3%, Flour: 41.8%, Milk: 23.9%
B. Butter: 23.9%, sugar: 20.3%, Flour: 51.8%, Milk: 23.9%
C. Butter: 13.9%, Sugar: 20.3%, Flour; 11.8%, Milk: 53.9%
D. Butter: 33.9%, Sugar: 20.3%, Flour: 41.8%, Milk: 23.9%
Thanks again!

Click here to see answer by Theo(675) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475