Questions on Word Problems: Mixtures answered by real tutors!

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Question 202652: Jake owns a health food store. He sells a cereal mixture that is 60 parts oatmeal, 25 parts bran, and 15 parts wheat germ. Each batch of cereal weights 80 kilograms. Jake’s problem is that customers are requesting more bran in the mix. They would like the batch he just prepared to have 30 parts bran out of the total 100 parts.
How many kilograms of the original mix of cereal should be removed and replaced with bran so that his customers will be satisfied?

Click here to see answer by ptaylor(2198) About Me 

Question 202906: If the price of copper is 65 cents/lb and the price of zinc is 30 cents/lb, how many pounds of copper and zinc should be mixed to make 70lb of brass selling for 45 cents per pound?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 203003: A mixture of 12 liters of Chemical A, 16 liters of chemical B and 26 liters of chemical C is required to kill a destructive crop insect. Commercial spray X contains 1, 2, and 2 parts, respectively of these chemicals. Commercial spray Y contains only chemical C. Commercial spray Z contains only chemical A and B in equal amounts. How much of each type of commercial spray is needed to get the desired mixture? (Show all your work including any graphs you used.)
Click here to see answer by ptaylor(2198) About Me 

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(7384) 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(20056) 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(22740) About Me 

Question 203401: 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?
Click here to see answer by rfer(16322) 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(22740) 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(6628) 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(293) 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(2198) 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(293) 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(2198) 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(2198) About Me 

Question 205062: 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.
Click here to see answer by ankor@dixie-net.com(22740) 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(20056) 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(75887) 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(2198) 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(6628) 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(16322) 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(69443) 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(69443) About Me 

Question 206045: 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

Click here to see answer by jim_thompson5910(35256) 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(22740) 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(6628) 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(16322) 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(75887) 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(75887) 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(12844) About Me 

Question 206651: 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

Click here to see answer by jim_thompson5910(35256) About Me 

Question 206649: 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

Click here to see answer by jim_thompson5910(35256) About Me 

Question 206751: 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

Click here to see answer by Edwin McCravy(20056) About Me 

Question 206777: 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

Click here to see answer by stanbon(75887) 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(35256) About Me 

Question 206818: 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}?

Click here to see answer by Edwin McCravy(20056) 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(16322) 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(16322) 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(16322) About Me 

Question 207370: 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?
Click here to see answer by Alan3354(69443) 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(75887) 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(22740) 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, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245