Questions on Word Problems: Mixtures answered by real tutors!

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Question 467170: problem #1
How many kilograms of each of a 50% silver alloy and 10% silver alloy must be mixed to obtain 24 kilograms of a 25% silver alloy?
problem #2
Two vats contain cream, one sample tested 8% butterfat and the other tested 16% butterfat. How much cream should be taken from each to produce a 5 liters mixture which will test 12% butterfat?
problem #3
How many kilograms each of a powdered detergent and a rinsing solution containing 80% of the pure rinsing solution must be mixed to make 140 kilograms of a 24% detergent?
I'll be waiting for the answer and solution

Click here to see answer by lwsshak3(11628) About Me 

Question 467328: I'm really stuck on this word problem.word problem are my weakness: It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 40 liters of 20% solution. How many liters of this should be drained and replaced with 100% anitfreeze to get the desired strength?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 467328: I'm really stuck on this word problem.word problem are my weakness: It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 40 liters of 20% solution. How many liters of this should be drained and replaced with 100% anitfreeze to get the desired strength?
Click here to see answer by solver91311(24713) About Me 

Question 467435: soybean meal is 18% protein cornmeal is 9% how many pounds of each should be mixed together to get 360 lb mixture that is 15% protein
Click here to see answer by stanbon(75887) About Me 

Question 467437: The width of a rectangle is fixed at 27cm. What lengths will make the perimeter greater than 78cm?
Click here to see answer by algebrahouse.com(1659) About Me 

Question 467440: How many milliliters of a 60% ethyl alcohol should be mixed with water to make 1 L of 15% ethyl alcohol solution
Click here to see answer by robertb(5830) About Me 

Question 467444: How many gallons of a 60% antifreeze solution must be mixed with 70 gallons of 25% antifreeze to get a mixture that is 50% antifreeze? Use 6 step method.
Click here to see answer by mananth(16946) About Me 

Question 467436: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60mph and train B is traveling at 80mph. Train A passes a station at 10:25 pm, if train B passes the same station at 10:40 pm, at what time will train B catch up to train A?
Click here to see answer by mananth(16946) About Me 

Question 467551: How many eye drops in a quart of liquid
Click here to see answer by Alan3354(69443) About Me 

Question 467601: A container is partially filled with 12 liters of whole milk containing 4% butterfat. How much 1% milk must be added to get a mixture that is 2% butterfat? Construct a table, then solve.
Click here to see answer by josmiceli(19441) About Me 

Question 467522: how to make mixture of 19 % nitrogen, 19 % phospharus, 19 % murate of potash from 100% pure nitrogen, phospharus, murate of potash?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 467637: I'm having some difficulties solving mixture word problems, more in the area of creating a table. Any advice would be greatly appreciated.
Here the problem!
Suppose that a chemist is mixing two acid solutions, one of 20% concentration and the other 30% concentration. Which one of the following concentrations could not be obtained?
A. 22% B. 24% C. 28% D. 32%
I tried to setup a table as the one listed below
{Acid Amount} {Concentration Amount} {Total of A&C Amount}
20& of solution| x .2 .2(x)
30% of solution| x .3 .3(x)
Mixture |
I'm lost because it does not advise the total amount of concentration that is needed, therefore I do not know what to enter for mixutre. My equation will end up looking like this.
.2x + .3(X) = ?

Click here to see answer by scott8148(6628) About Me 

Question 16587: A billboard is 7 meters long and 5 meters high. An advertiser wishes to increase its size by adding the same amount to its length and width. The new area will be 63 square meters. How much must be added to the length and width of the billboard to do this?
Click here to see answer by JWG(21) About Me 

Question 467974: The formula r=2sqrt(5l) can be used to approximate the speed r, in miles per hour, of a car that has left skid marks of length l, in feet. How far will a car skid at 60 mph?
The car will skid ? feet

Click here to see answer by Theo(13342) About Me 

Question 467838: The formula r=2sqrt(5l) can be used to approximate the speed r, in miles per hour, of a car that has left skid marks of length l, in feet. How far will a car skid at 60 mph?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 468154: Suppose that you have a supply of a 10% solution of alcohol and a 90% solution of alcohol. How many quarts of each should be mixed to produce 80 quarts that is 35% alcohol?
Click here to see answer by stanbon(75887) About Me 

Question 468182: 4 gallons of paint covers 600 square feet. how many gallons are needed for 2400 square feet?
Click here to see answer by jorel1380(3719) About Me 

Question 468183: The lemonade recipe calls for 1/2 cup of sugar for every 3 lemons. How much sugar is needed for 12 lemons?
Click here to see answer by jorel1380(3719) About Me 

Question 468189: 240 is to 360 as x is to 1200.
Click here to see answer by edjones(8007) About Me 

Question 468619: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40% salt and Solution B is 90% salt. She wants to obtain 130 ounces of a mixture that is 60% salt. How many ounces of each solution should she use?
Click here to see answer by jorel1380(3719) About Me 

Question 468819: what is the number 7426 fewer than 9000
Click here to see answer by Theo(13342) About Me 

Question 468928: if a recipe calls for 4oz liquid portion and we have a population of 1500 how many pounds of product would it take to feed our population?
Click here to see answer by stanbon(75887) About Me 

Question 469053: pure acid is to be added to a 10% acid solution to obtain 90L of 19% solution. what amounts of each should be added?
Click here to see answer by jorel1380(3719) About Me 

Question 469371: I could really use some help on this problem please!!!! Thank you in advance..
An electronics store surveyed every 7th customer who came into the store for a week.
Of the 350 people who responded,

144 people watched movies on VHS tapes.
239 people watched movies on DVDs.
54 people watched movies both on VHS tapes and DVDs.

Create a Venn diagram to reflect the above data, label your diagram clearly. Use your diagram to answer the following questions here.

i. Of those surveyed, how many watched only VHS tapes?
ii. Of those surveyed, how many watched only DVDs?
iii. Of those surveyed, how many watched VHS tapes or DVDs, but not both?
iv. Of those surveyed, how many watched VHS tapes or DVDs, or both?


Click here to see answer by jorel1380(3719) About Me 
Question 469371: I could really use some help on this problem please!!!! Thank you in advance..
An electronics store surveyed every 7th customer who came into the store for a week.
Of the 350 people who responded,

144 people watched movies on VHS tapes.
239 people watched movies on DVDs.
54 people watched movies both on VHS tapes and DVDs.

Create a Venn diagram to reflect the above data, label your diagram clearly. Use your diagram to answer the following questions here.

i. Of those surveyed, how many watched only VHS tapes?
ii. Of those surveyed, how many watched only DVDs?
iii. Of those surveyed, how many watched VHS tapes or DVDs, but not both?
iv. Of those surveyed, how many watched VHS tapes or DVDs, or both?


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

Question 469335: A chemist needs to strengthen a 30% solution with a 75% solution to obtain a 40% solution. how much of the 75% solution should be added to 280 milliliters of the 30% solution?
Click here to see answer by scott8148(6628) About Me 

Question 469392: how much pure acid must be added to 500 ml of an 8% acid solution to make a 20% acid solution?
Click here to see answer by jorel1380(3719) About Me 

Question 469393: A merchant mixed 10 pounds of a cinnamon tea with 6 pounds of spice tea. The 16 pound mixture cost $35. A second mixture included 16 pounds of cinnamon tea and 4 pounds of spice tea. The 20 pound mixture cost $42. Find the cost per pound of the cinnamon tea and the spice tea.I came up with $2.14 for the cinnamon and $2.13 for the spice, but these answers were clearly wrong.
Click here to see answer by jorel1380(3719) About Me 

Question 469394: Anne and Nacny use a metal alloy that is 21% copper to make jewelry. How many ounces of 20% alloy must be mixed with a 24% alloy to form 96 ounces of the desire alloy?
Click here to see answer by jorel1380(3719) About Me 

Question 469483: HOW MUCH FERTILIZER CONTAINING 8% NITROGEN SHOULD BE MIX WITH A FERTILIZER CONTAINING 12% NITROGEN TO GET 8 L OF A FERTILIZER CONTAINING 11% NITROGEN
Click here to see answer by ewatrrr(24785) About Me 

Question 469447: 2) How many Liters each of 15% acid and 33% acid should be mixed to get 120 Liters of 21% acid?
Click here to see answer by ewatrrr(24785) About Me 

Question 469446: 1) how many gallons each of 25% alcohol and 35% alcohol should be mixed to get 20 gallons of 32% alcohol?
Click here to see answer by ewatrrr(24785) About Me 

Question 469550: Train A and B are traveling in the same direction on parallel tracks. A is running 40 mph and Bis running 48 mph. A passes the station at 9:10am and B passes the station at 9:25am. What time will B catch up with A?
Click here to see answer by jorel1380(3719) About Me 

Question 469713: A recipe requires 2/3 cup of flour and makes enough for 6 people. how much flour should be used to make enough for 15 people?

Click here to see answer by jorel1380(3719) About Me 

Question 469757: Please help I am not sure how to do this problem. Thank you in advance

determine the truth value of the statement.
17 + 4 = 21, and 155 = −7 or 3 − 9 = −6.

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

Question 469728: I have trouble with setting up word problems, here is my question

How many pounds of green tea, worth $40 a pound, should be mixed with herbal tea, worth $50 a pound, to produce 20 pounds of a blend worth $42 a pound?
Thank You

Click here to see answer by Razzak Ahmed(10) About Me 

Question 469812: I have 500g solution that is 40% acid, how many water should I add to make it 25% acid?
Click here to see answer by lwsshak3(11628) About Me 

Question 469851: Please help me in this problem, I need this tommorow: How much pure alcohol must be added to 25 mL of water to produce 50% alcoholic solution?
Click here to see answer by stanbon(75887) About Me 
Question 469851: Please help me in this problem, I need this tommorow: How much pure alcohol must be added to 25 mL of water to produce 50% alcoholic solution?
Click here to see answer by MathLover1(20850) About Me 

Question 469878: The sum of a number and 5 is 5 more than twice the number. Find an equation that could be used for the number x
Click here to see answer by ewatrrr(24785) About Me 

Question 470007: how long will it take to earn $1,665 if you earn $7.25 an hour?
Click here to see answer by sofiyac(983) About Me 

Question 470019: Divide (520 x 10^24) / (52 x 10^9)
Click here to see answer by sofiyac(983) About Me 

Question 470149: What is the final strength produced by diluting 4 oz. of a 2% solution to 10 oz.
Click here to see answer by robertb(5830) About Me 

Question 470282: how much alcohol in pints must be added to 80 pints of a solution of alcohol and iodine that is 20 percent iodine in order to produce a 15 percent solution of iodine
Click here to see answer by nerdybill(7384) About Me 

Question 470212: Mark is in training for a marathon race. He has been training by running 10 miles each day. He will be increasing his running by this weekly formula: . Compute the distance Mark will run if he continues using the formula, for 52 weeks (x = 52). Does this distance seem reasonable?


Click here to see answer by Alan3354(69443) 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