Questions on Word Problems: Mixtures answered by real tutors!

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Question 103959: A chemist has 300 grams of 20% hydrochloric acid solution. He wishes to drain some off and replace it with an 80% solution so as to obtain a 25% solution. How many grams must be drain and replace it with 80% solution.
Click here to see answer by Earlsdon(6294) About Me 

Question 104172: keep getting a strange number for answer.
Premium coffee sells for $6.00 per pound and regular coffee sells for $4.00 per pound. how many pounds of each type of coffee should be blended to obtain 100 pounds of a blend that sells for $4.64 per pound.
Thanks for any help

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 104186: If there are 400 cubic centimeters of a chemical in 1 liter of solution, how many cubic centimeters of water must be added to dilute it to a 25% solution? (hint: 1000 cc = 1 liter)
Click here to see answer by scott8148(6628) About Me 

Question 104202: How much pure water must be mixed with 5 pints of 50% developer to produce a mixture that is 35% developer?
Click here to see answer by scott8148(6628) About Me 

Question 104161: The Quick Mart has two kinds of nuts. Pecans sell for $1.55 per pound and walnuts sell for $1.95 per pound. How many pounds of walnuts must be added to 15 pounds of pecans to make a mixture that sells for $1.75 per pound?
Click here to see answer by scott8148(6628) About Me 

Question 104222: A doctor prescribes an ointment that is 2% hydrocortisone. A pharmacist as 1% and 5% concentrations in stock. How much of each should the pharmacist use to make a 1-ounce tube?
Click here to see answer by scott8148(6628) About Me 

Question 104160: How many grams of sugar must be added to 60 grams of a 32% solution to obtain a 50% solution?
Click here to see answer by scott8148(6628) About Me 

Question 104221: A new automobile engine can run on a mixture of gasoline and a substitute fuel. If gas costs $1.50 per gallon and the substitute fuel costs 40 cents per gallon, what percent of a mixture must be substitute fuel to bring the cost down to $1 per gallon?
Click here to see answer by scott8148(6628) About Me 

Question 104293: Celsius temperatures readings can be converted to farenheit readings using the fourmula f= 9/5 C + 32. What is fareheit temperature that corresponds to each of the following celsius temperatures: -10, 0, 15, 100?
Click here to see answer by doukungfoo(195) About Me 

Question 104331: Having a terrible problem trying to solve this question:
The school board plans to merge two junior high schools into one school of 800 students in which 40% of the students will be Caucasian. One of the schools currently has 58% Caucasian students, the other has only 10 % Caucasian students. How many students are in each of the two schools?
Could it be that one school has 464 Caucasian students and the other school has 80 Caucasian students?

Click here to see answer by stanbon(75887) About Me 
Question 104331: Having a terrible problem trying to solve this question:
The school board plans to merge two junior high schools into one school of 800 students in which 40% of the students will be Caucasian. One of the schools currently has 58% Caucasian students, the other has only 10 % Caucasian students. How many students are in each of the two schools?
Could it be that one school has 464 Caucasian students and the other school has 80 Caucasian students?

Click here to see answer by Earlsdon(6294) About Me 

Question 104375: Angela needs 20 quarts of 50% antifreeze in her radiator. She plans to obtain this by mixing some pure antifreeze(100%) with a appopriate amount of a 40% antifreeze soluation. how many quarts of each should she use?
every time I do this I come up short when I back check. I would like to Thank you in advance for any help

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

Question 104438: A new automobile engine can run on a mixture of gasoline and a substitute fuel. If gas costs $1.50 per gallon and the substitute fuel costs 40 cents per gallon, what percent of a mixture must be substitute fuel to bring the cost down to $1.00 per gallon?
Click here to see answer by stormy(4) About Me 

Question 104283: Cashews sell for $4.00 per pound, Peanuts for $1.50 per pound. If you mix 60 lbs of peanuts in a cashew/peanut mix, how many pounds of cashews do you need to add to make a mix that costs $2.50 per pound.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 104546: A dairy man wants to mix 85% protien supplement and a standard 15% protein ration to make 1700 pounds of higgh-grade 50% protein ration. How many pounds of each shoul he use?
Click here to see answer by checkley75(3666) About Me 

Question 104569: Cathy's Coffee Cafe sells gourmet coffee mixes by the pound. How many pounds of $7.28 per pound coffee must Cathy mix with 9 pounds of $6.46 per pound coffee to creat a mixtue worth $6.95 per pound?
Click here to see answer by checkley75(3666) About Me 

Question 104741: for the floor plans given in exercise determine whether the side through the points (2,3) and (11,6) is perpendicular to the side through the points (2,3) and (-3, 18).
THE FLOOR PLANS IN THE GIVEN EXERCISE ARE (2,3), (11,6), (-3, 18) AND (8,21)

Click here to see answer by Fombitz(32388) About Me 

Question 104883: A jetplane and a tanker that are 525 mi apart head toward each other so that the jet can refuel. The jet flies 200 mi/h faster than the tanker. Determine the speed of each aircraft if they meet in 45 minutes?
Click here to see answer by oberobic(2304) About Me 

Question 104932: A chemist needs to mix a 75% saltwater solution with a 50% saltwater solution to obtain 10 gallons of a 60% saltwater solution. How many gallons of each solution must be used?
Click here to see answer by checkley75(3666) About Me 

Question 104828: hector is performing a chemistry experiment that requires 140 milliliters of a 30% copper sulfate solution. He has a 25% copper sulfate solution and a 60% copper sulfate solution. How many milliliters of each solution should he mix to obtain the needed solution?
Click here to see answer by ptaylor(2198) About Me 

Question 105087: a fruit company makes snak containing dried apples and raisins. Dried apples cost 38 cents per ounce, and raisins cost 28 cents per ounce. To make a 10 ounce snack that will cost 34 cents and ounce, how much of each dried fruit will be used?
Click here to see answer by elima(1433) About Me 

Question 105205: Derek biked 30 km in 1 hour. At the same rate, how far did Derek ride in 20 min?
Please help!
THanks

Click here to see answer by bp5463(1) About Me 

Question 105206: Jacob wants to tile a bathroom with an area of 140 ft2(feet square). The cost of a 10-tile box is $36.00, and each tile measures 1ft2(one feet square). How much will it cost Jacob to tile the bathroom?
Thanks again

Click here to see answer by edjones(8007) About Me 

Question 105215: Eve was twice as old as her sister Teresa in 2006. Eve was born in 1992. How old will Teresa be in 2009.
Can you please help me, I am lost when comes to Math.
Please provide a step by step solution
Appreciate it!
Thanks


Click here to see answer by edjones(8007) About Me 
Question 105215: Eve was twice as old as her sister Teresa in 2006. Eve was born in 1992. How old will Teresa be in 2009.
Can you please help me, I am lost when comes to Math.
Please provide a step by step solution
Appreciate it!
Thanks


Click here to see answer by checkley75(3666) About Me 

Question 105190: A roof rises 8.25 ft over a horizontal distance of 14.65 ft. WHat is the slope of the roof to the nearest hundredth.
Click here to see answer by edjones(8007) About Me 

Question 105242: Rafiq pays $1.10 for 3 pencils. He pays with 11 coins including 1 quarter. The rest of the coins are dimes and nickles. Which combination of coins below did Rafiq use including a quarter?
A. 9 nickles, 4 dimes
B. 7 nickles, 5 dimes
C. 5 nickles, 6 dimes
D. 3 nickles, 7 dimes
PLease show me the steps please!!!
Thank you!

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

Question 105244: The area of a school gym is 600 ft square. The gym is 25 ft long. How wide is the gym?
A. 10 FT
B. 20 Ft
C. 24 FT
D. 30 FT
PLease show me how to arrive at the answer.
Thanks

Click here to see answer by edjones(8007) About Me 

Question 105241: Dominique earns $8/hr plus tips at a restaurant. At the end of a 7- hr shift, she earned $149. Which expression can you use to find Dominique’s average hourly tip?
Please provide step by step solution
F. $149 + $8 X 7 upon 7
G. $149 upon 7
H. $149 - $8 X 7 upon 7
I. $149 - $8 X 7 upon 8
Please help me, I thank you very much!
AppreciaTE IT!





Click here to see answer by edjones(8007) About Me 

Question 105330: At a particular store they sell coffee for $4 a pound, cardamon for $35 a pound, and a coffee and cardamon mixture for $5 a pound. Assuming no change in profit on selling the mix versus its components how much caradamon should be mixed with 10 pounds of coffee?
Click here to see answer by checkley75(3666) About Me 

Question 105478: Suppose a chemist is mixing two acid solutions, one of 20% concentration and the other of 30% concentration.Which one of the following concentrations could not be obtaioned?
A. 22% B. 24% C. 28% D. 32%

Click here to see answer by checkley75(3666) About Me 

Question 105817: Melissa invested a sum of money at 3% annual simple interest. She invested three times that sum at 5% annual simple interest. If her total yearly interest from both investments was $7200, how much was invested at 3%?
Click here to see answer by checkley75(3666) About Me 

Question 105816: How much pure acid should be mixed with 2 gallons of a 50% acid solution in order to get an 80% acid solution?
Click here to see answer by checkley75(3666) About Me 

Question 105874: Please help solve these two problems:
How would I write these two problems:
Eight times a number plus 6 less than twice the number is 34.

Julius sold five times as many computers as Sam sold last year. In total, they sold 78 computers. How many computers did Julius sell?
Thank you,

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

Question 106238: A 5 gallon radiator containing a mixture of water and antifreeze was supposed to contain a 50% antifreeze solution. When tested, it was found to have only 40% antifreeze. How much must be drained out and replaced with pure antifreeze so that the radiator will contain the desired 50% antifreeze.

thank u for sparing time for my problem...thanks....

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

Question 106257: 6 (3_4 +16)-8
the 3_4 is a fraction

Click here to see answer by elima(1433) About Me 

Question 106831: In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all. How many votes did each candidate receive??
Click here to see answer by HyperBrain(694) About Me 

Question 107196: Susan wants to mix 10 pounds of Virginia nuts that cost 3.50 a pound with spanish nuts that cost 3.00 a pound to obtain a mixture that costs 3.40 a poound. How many pounds of spanish nuts should she use?
Click here to see answer by checkley75(3666) About Me 

Question 107186: How many pounds of walnuts which cost $4 per pound must be mixed with 25 pounds of almonds which cost $7.50 per pound to make a mixture which will cost $6.50 per pound?
Click here to see answer by scott8148(6628) About Me 

Question 107229: A doctor orders 20 grams of a 52% solution of a certain medicine. The pharmacist has only bottles of 40% and bottles of 70% solution. How much of each must he use to obtain the 20 grams of the 52% solution?
Click here to see answer by scott8148(6628) About Me 

Question 107611: The length of a rectangle garden is 7ft more than twice its width. If the perimeter of the garden is 56ft, find the width of the rectangle.
Click here to see answer by chitra(359) About Me 

Question 107664: 27. How much of an alloy that is 20% copper should be mixed with 200ounces of an alloy that is 50% copper in order to get an alloy of 30% copper?
Click here to see answer by solver91311(24713) About Me 

Question 107937: What amount of each mixture, one 95% alcohol and the other 15% alcohol, must be used to make 10 liters of a mixture which is 45% alcohol? what equation or equations will express this problem? I was thinking it would be this equation: 0.95x+0.15x=0.45
Click here to see answer by ptaylor(2198) About Me 

Question 107978: After going to the store, they had a special on paint with 7% color included. However, you don't want that bright of a color, but rather 3% color. How much 7% paint do you buy to mix with plain white paint to get your 3% mixture? The total amount of piant needs to equal 5.94 liters.
I need the amount of 7% paint and the amount of white paint.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 108307: Allen bought 30 stamps at the post office in 39¢ and 24¢ denominations.
If the total cost of the stamps was $9.90, how many 39¢ stamps did Allen buy?

Click here to see answer by edjones(8007) 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