Questions on Word Problems: Mixtures answered by real tutors!

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Question 737244: how many milliliters of a 17% alcohol solution must be added to 52 mL of a 8% alcohol solution to make a 13% alcohol solution?
I did:
.15x + .04(42)=.08(42+x)
.15x + 1.68=3.36+.08x
-.08x -.08x
.07x+1.68=3.36
-1.68 -1.68
.07x=1.68
x=24
Then I filled in x: .08(42+24)
66(.08)=5.28

Click here to see answer by josmiceli(19441) About Me 

Question 737235: Find y and x intercept
-10x+y=22

Click here to see answer by Alan3354(69443) About Me 

Question 737469: 24 is 40% of what number? Use a tape diagram to find the answer.
Click here to see answer by lynnlo(4176) About Me 

Question 737801: A bank contains $9.45 in dimes and quarters. If there are 48 coins in all, how many of each type are there? Use only one unknown(i.e. just x)
Click here to see answer by MathLover1(20849) About Me 

Question 737811: 1) The difference of two numbers is 3.
Click here to see answer by richwmiller(17219) About Me 

Question 737804: suppose you drive 100 mile home for fall break. your return trip took 30 minutes less because you drive 10 mph faster. What was your rate on the return trip?
Click here to see answer by Ed Parker(21) About Me 

Question 737831: Determine the amounts of 20% and 50% salt solutions that should be mixed to obtain 300 gallons of 41% salt solution. Show all work.
Click here to see answer by Alan3354(69443) About Me 

Question 737884: Ellen wants to mix candy worth $1.09 per pound with candy worth $3.32 per pound to form 25 pounds of a mixture worth $2.43 per pound. How many pounds of the expensive candy should she use?
Click here to see answer by josgarithmetic(39617) About Me 

Question 738159: Maria has 8 cups of a fruit punch that consists of 25% orange juice and 75% apple juice. She wants to make a drink that is 40% orange juice. How many cups of orange juice should Maria add to the mixture?
Click here to see answer by josgarithmetic(39617) About Me 

Question 738606: How much of an alloy with 30% copper must be added to 25 pounds of a second alloy which is 20% copper to create a 27% alloy?


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Question 738729: How much of a 7% alcohol solution should be mixed with how much of a 15% alcohol solution so that you get 20 gallons of a 12% alcohol solution?
Click here to see answer by mathstutor494(120) About Me 

Question 738969: Please help me solve this mixture problem:
How many gallons of a 60% alcohol solution must be mixed with 80 gallons of a 13% solution to obtain a solution that's 50% alcohol?

Click here to see answer by josgarithmetic(39617) About Me 

Question 739190: Mixture Problem A chemist has 20% and 60% solutions
of acid available. How many liters of each solution
should be mixed to obtain 10 liters of a 30% acid
solution?

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Question 739121: How many grams of an alloy containing 30% copper must be combined with 80 grams of an alloy containing 45% copper in order to form an alloy that is 35% copper?

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Question 739498: A laboratory technician needs to make a 27-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration?
Click here to see answer by josgarithmetic(39617) About Me 

Question 739605: I am about to reacive a 35% barrel of hidrogen peroxide in cream and I would like to dilute it to a 12%, 9%, 6%, and 3%, witch would be the formula?
Click here to see answer by josmiceli(19441) About Me 

Question 739702: A candy company wants to produce 20 kilograms of a special 45% fat content chocolate. To obtain this, a 50% fat content chocolate is combined with a 30% fat content chocolate. How many kilograms of the 50% fat content and the 30% fat content are used to make the required 20 kilograms?
Click here to see answer by josmiceli(19441) About Me 

Question 739687: You need a 15% alcohol solution. On hand, you have a 195 mL of a 35% alcohol mixture. How much pure water will you need to add to obtain the desired solution?
You will need
mL of pure water
to obtain
mL of the desired 15% solution.
idk how to do this;(

Click here to see answer by josmiceli(19441) About Me 

Question 739743:
a solution contains 6 % salt. How much water should be added to 90 ounces of the solution to make a 5.4% solution?

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Question 739767: If you fill half a container whose capacity is t liters and then take 2 liters out, how full is the container.
Please explain how you solved so I can understand myself. I would like to learn and not just get the answer.
Thank you!!

Click here to see answer by richwmiller(17219) About Me 
Question 739767: If you fill half a container whose capacity is t liters and then take 2 liters out, how full is the container.
Please explain how you solved so I can understand myself. I would like to learn and not just get the answer.
Thank you!!

Click here to see answer by MathLover1(20849) About Me 

Question 739662: Select ALL calculations that are measured in linear units.
Answer

Viewing space of a TV screen

Soil needed to fill a flower pot

Curtains needed to cover a window

Fabric needed to cover a dining room table

Trim needed to surround a picture frame

Chalk needed to outline a rectangular field

Click here to see answer by richwmiller(17219) About Me 

Question 739661: Select ALL calculations that are measured in square units.
Answer

Base boards (molding) needed for a room

Paint needed to cover a wall

Fencing needed to surround a garden

Water needed to fill a bucket

Carpet needed to cover a floor

Sod needed to cover a dirt yard

Click here to see answer by richwmiller(17219) About Me 

Question 738820: how many liters of pure alcohol must be mixed with 40 liters of a 25% alcohol solution to get 50% mixture
Click here to see answer by richwmiller(17219) About Me 

Question 739594: A large container holds 10 liters of solution of 75% hydrochloric acid solution, how many liters of acid are in the soluion? And how many liters of water are in the solution?
Click here to see answer by richwmiller(17219) About Me 

Question 740045: If you have a 40 gallon water hester and replace it with a 50 gallon what percentage
Did you increase to?

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Question 740463:
3 fl. oz of a 45% saline solution was mixed wit 7 fl. oz. of a 35% saline solution. What is the concentration of the mixture

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Question 740742: A chemist mixed 87% gasoline with 93% gasoline to obtain 6 gallon of a blend that is 88% gasoline. how much 93% gasonline misture is needed?

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Question 740746: Ravi's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs $5.45 Ravi per pound, and type B coffee costs $4.20 per pound. This month, Ravi made 121 pounds of the blend, for a total cost of $571.95 . How many pounds of type B coffee did he use?
Click here to see answer by mananth(16946) About Me 

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 lynnlo(4176) About Me 

Question 740835: Oil field - Topic
i have a container of 32% Hydrochloric Acid (HCL)
I need to blend this down by adding water to make it a 5% solution of HCL.
If i needed a total of 100 gallons of 5% HCL, what would be the ratio of gallons of 32% HCL and gallons of water added to make 100 gallons of 5% HCL?

Click here to see answer by josmiceli(19441) About Me 

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?

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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 lynnlo(4176) About Me 

Question 740915: How many ounces of a 10% alcohol solution must be mixed with 4 ounces of a 15% alcohol solution to make a 14% alcohol solution?
Click here to see answer by josgarithmetic(39617) About Me 

Question 740906: I have a 17% salicylic acid solution that I have to mix with alcohol to make a 2% solution to use as a face toner. The alcohol bottle I have is 473 mL total. What amount of each do I have to use to get the 2%?
Thanks!

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Question 740906: I have a 17% salicylic acid solution that I have to mix with alcohol to make a 2% solution to use as a face toner. The alcohol bottle I have is 473 mL total. What amount of each do I have to use to get the 2%?
Thanks!

Click here to see answer by josgarithmetic(39617) About Me 

Question 741093: I have a 37% solution of bleach. How much of this solution must be added to 1 quart of distilled water to make a 5% solution?

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Question 741162: Please help me solve this word problem.
Elise wants to make a 61% alcohol solution. She has already poured 3 gal. of a 40% alcohol solution into a beaker. How many gal. of a 70% alcohol solution must she add to this to create the desired mixture?
This is what I have tried.
.61x+1.2=.7x+2.1
.61x=.7x+1.1
.87x=1.1
x=1.26 gallons
Is this correct?

Click here to see answer by stanbon(75887) About Me 
Question 741162: Please help me solve this word problem.
Elise wants to make a 61% alcohol solution. She has already poured 3 gal. of a 40% alcohol solution into a beaker. How many gal. of a 70% alcohol solution must she add to this to create the desired mixture?
This is what I have tried.
.61x+1.2=.7x+2.1
.61x=.7x+1.1
.87x=1.1
x=1.26 gallons
Is this correct?

Click here to see answer by josgarithmetic(39617) About Me 

Question 741163: Set up and solve by either substitution or elimination.
Janet wishes to mix 30 pounds of coffee to sell for $6.00 a pound. To obtain the mixture, she will mmix coffee that sells for $5 a pound with coffee that sells for $7 a pound. How many pounds of each type of coffee should she use?
Having a really hard time with this one.

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

Question 741179: a 50-gallon barrel of milk is 6 % butterfat. how much skim milk( no butter fat) should be mixed tot make milk that is 3% butterfat?
Click here to see answer by josmiceli(19441) About Me 

Question 741178: a 50-gallon barrel of milk is 6 % butterfat. how much skim milk( no butter fat) should be mixed tot make milk that is 3% butterfat?
Click here to see answer by josgarithmetic(39617) About Me 

Question 741200: "Set up an equation and solve the following problem. How many liters of pure alcohol must be added to 20 liters of a 30% solution to obtain a 90% solution?"
Can I get help with how to work this problem?
Thank you

Click here to see answer by josgarithmetic(39617) About Me 

Question 741217: in a cricket match bye runs were double of the no-balls,the remaining score was greater by six than twelve times the number of bye-runs.if the total score was 276.how were the runs obtained?

Click here to see answer by mananth(16946) About Me 

Question 741277: Hi! I need help on this word problem (It has to do with Linear systems but i ant even figure out how to set it up)
A chemist needs 12 liters of a 25% acid solution. The solution is to be mixed from three solutions whose concentrations are 10%, 20%, and 50%. How many liters of each solution will satisfy each condition?
(a) Use 2 liters of the 50% solution.
10% solution =___L
20% solution =___L
(b) Use as little as possible of the 50% solution.
10% solution = ___ L
20% solution = ___L
50% solution = ___L
(c) Use as much as possible of the 50% solution.
10% solution ___L
20% solution ___L
50% solution ___L

A little help on just setting it up would even be enough. Thank you!

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