Questions on Word Problems: Mixtures answered by real tutors!

Tutors Answer Your Questions about Mixture Word Problems (FREE)

Question 202: How can you get 6 cups of a liquid
using a container that holds 4 cups and another one that holds 9 cups?
Click here to see answer by ichudov(507)

Question 7: How many liters of pure water should be evaporated(removed) from 160 liters of 12% saline(salt) solution so that the solution that remains is a 20% solution?
Click here to see answer by ichudov(507)

Question 814: GROUND CHECK SELLS FOR $1.75 LB. HOW MANY POUNDS OF GROUND ROUND SELLING FOR $2.45 LB SHOULD BE MIXED WITH 20 LBS OF GROUND CHUCK TO OBTAIN A MIXTURE THAT SELLS FOR $2.05 LB. CAN YOU PLEASE EXPLAIN TO ME HOW TO WORK THIS PROBLEM?
Click here to see answer by pushpaharan(47)

Question 1114: The Garcias left home and drove 10 miles east, 9 miles north, 8 miles east, and 15 miles north. How many miles were the Garcias from their home "as the crow flies"?
Click here to see answer by AnlytcPhil(1806)

Question 1431: Red Beads cost $1.30 per box, they are mixed with yellow beads that cost $2.00 a box. How many boxes of each color must be used to make 10 boxes of beads costing $1.72 per box?
Click here to see answer by DeepaEvangeline(15)

Question 1442: How many gallons of a 70% acid solution must be mixed with 30 gallons of a 16% solution to obtain a solution that is 60% acid?
Click here to see answer by AnlytcPhil(1806)

Question 1396: Container A has a total volume of exactly 3/4 quart. Container B can hold exactly 4/7 of a quart less than 6 quarts. What fraction of container B must be filled in order to hold the same volume as Container A?
Click here to see answer by abhinav75(8)

Question 1423: A nurse must add a 5% solution to 750 ml of a 30% to produce a 20% solution. How much of the 5% solution must be added?
Click here to see answer by abhinav75(8)

Question 1844: HOW MANY GRAMS OF PURE SALT MUST BE ADDED TO 40 GRAMS OF A 20% SALT SOLUTION TO MAKE A SOLUTION THAT IS 36% SALT?
Click here to see answer by longjonsilver(2297)

Question 1786: If you have 98 pints of gas A and 32 pints of gas B and combined octane is 85%, then you has 40 pints of A and 80 pints of gas B with the combined octaine equaling 75%. what is the octane of A and B?
Click here to see answer by longjonsilver(2297)

Question 2042: In a team of 12 persons, 1/3 are women and 2/3 are men. To obtain a
team with 20% women how many men should be hired?

Click here to see answer by Jessmh123(22)

Question 2508: Gold is 19 times heavier than water. Copper is 9 times heavier than water. In what ratio should they be mixed so that the alloy is 15 times heavier than water?

Click here to see answer by borzeya(6)

Question 2821: On a 50 to 1 ration of gas and oil, what is the amount of oil needed for 20 gallons of gas?
Click here to see answer by xcentaur(357)

Question 3281: A specialty coffee store creates a special mix of two coffees at two different prices: $6.42 and $7.28 per pound each. How many pounds of the $7.28 coffee should be mixed with 7 pounds of $6.42 coffee to sell the mixture for $7.20 per pound?
Click here to see answer by sujatha.krishna(11)

Question 3984: I NEED TO KNOW HOW TO DO THESE!!!
(x+4) /(6x^2+5x-6) + x/(2x+3)= x/ (3x-2)
SOLVE FOR X
Click here to see answer by longjonsilver(2297)

Question 3946: a blue print has a scale of 1 in, representing 45ft. How long is a side of a buliding represented by 2 1/2 in. ?
If it takes 10 minutes to saw a long into 3 pieces, how long does it take to saw it into 4 pieces?
The ratio of boys to girls in a class is 8:7. If the class has 60 students, how many are girls?
Click here to see answer by carl(7)

Question 4187: CALCULUS PACKET HELP!!!
REWRITE IN RADICAL FORM WITH NO NEGATIVE EXPONENTS
X^(-4/3)
Click here to see answer by longjonsilver(2297)

Question 4692: USING A COMBINATION OF 24% NITROGEN AND 12% NITROGEN TO ACHIEVE AN END RESULT OF 100 GRAMS OF 21% NITROGEN.
Click here to see answer by Earlsdon(6294)

Question 4749: One person can do a job in 2 hours, Another can do the job in 3 hours, how long will it take if they do the job together.
What is the formula to solve this type of question?
My attempts seem futile.
Click here to see answer by Earlsdon(6294)

Question 4757: I know Fred bought 100 marbles for $1.00. I also know red marbles are 2 cents, shooter marbles are 3 cents and multicolored marbles are 2 for 1 cent. What kind of marbles and how many of each would Fred have?
Click here to see answer by longjonsilver(2297)

Question 5056: I just can't figure this word problem out. A candy store sells boxes of candy containing carmels and cremes. The box sells for $12.50 and contains 30 pieces of candy. If the caramels cost .25 to produce and the cremes cost .45 to produce, how many of each should be in each box to make a profit of $3.00? Thank you for your help.. I've been trying for ever.. Thanks Caroline
Click here to see answer by rapaljer(4671)

Question 5062: Can you tell me if this is the correct answer to the question. The suggest list price of a new car is $12,000. The dealers cost is 85% of the list. How much will you pay if the dealer is willing to accept $100 over the cost of the car?
Dealer cost $10,200
so you would pay $10,300.
is this correct? thank you!
Click here to see answer by Earlsdon(6294)

Question 5061: Help Please... A car dealer reduces the list price of last years models by 15%. If a certain model has a discounted price of $8000, what was its original list price? Thank you!!
Click here to see answer by rapaljer(4671)

Question 5063: Patrice alone can paint 4 rooms in 10 hours. If she hires April to help her she can paint 4 rooms in 6 hours. If she lets April paint alone how long will it take her to paint 4 rooms? Thanks you guys are GREAT!
Click here to see answer by Earlsdon(6294)

Question 5060: Any help?? A wool suit, discounted 30% for a clearance sale has a price of #399. What was the suits original price? Thank you so much.
Click here to see answer by lotanez(23)

Question 5066: Please help I really stuck on this one!! A loan officer at a bank has $1,000,000 to lend and is required to obtain an average return of 18% per year. If he can lend at the rate of 19% and the rate of 16%, how much can he lend at the 16% rate and still meet his requirement? Please I've tried a MILLION ways..I just dont get it??? Thanks Caroline
Click here to see answer by rapaljer(4671)

Question 5059: Help Please!! A loan officer at a bank has 1,000,000 to lend and is required to obtain an average return of 18%. If he can lend at the rate of 19% and 16%, how much can he lend at the 16% rate and still meet his requirements? Thanks for your Help. Caroline
Click here to see answer by rapaljer(4671)

Question 5064: Going into the final exam which counts as two-thirds of the final grade, Mark has test scores of 86, 80, 84, and 90. What score does Mark need on the final in order to earn a B, which requires an average score of 80? What does he need to earn an A, which requires a score of 90? Thanks Again. You are a great help.
Click here to see answer by rapaljer(4671)

Question 5163: Allison invested $2200 in two banks. At the first bank she had an interest rate of 4 1/2% and at the second bank the interest rate was 5 3/4%. If the interest obtained at teh end of the year was $107.75, how much was invested at 5 3/4%.
O.K. This one is killing me. The book's answer is $700.00
First I changed the into decimals. For 4 1/2 - 0.45 and 0.575
Then I tried to make a equations, by using the invested amount.
0.45x + (2000-X)0.575=107.75
0.45x + 1,150 - 0.575x = 107.75
0.125x = 1042.25
I am stumped. Am completely wrong? Please tell me what I am doing wrong.
Thank you

Click here to see answer by guapa(62)

Question 5160: Robert inherited $4000 from his grandmother. Part was invested at 5% while the rest was invested at 6 1/2%. The interest for a year was $227. How much was invested at 6 1/2 percent.
My book says the answer is $1,800. I have tried and tried, yet my answer is far from their answer. Please help me.
Click here to see answer by guapa(62)

Question 5223: find the real solutions
3(1-y)^2+5(1-y)+2=0
Click here to see answer by longjonsilver(2297)

Question 5222: find real solution.
(2-x)^2 + (2-x)-20=0
Click here to see answer by longjonsilver(2297)

Question 5221: find the real solutions.
(2x+5)^2-(2+5)-6=0
thanks Caroline
Click here to see answer by ichudov(507)

Question 5267: How do I handle the 1/2 power???
(3x-5)^1/2=2
Find real solution.
Thanks Caroline
Click here to see answer by xcentaur(357)

Question 5273: can someone please help me...I'm really stuck.
find real solution.
x^4-10x^2+25=0
Thanks.. Caroline
Click here to see answer by Earlsdon(6294)

Question 5266: Is this answer correct?
sqrt5t+4=-2
I got... t=-8/5
Thanks Caroline
Click here to see answer by rapaljer(4671)

Question 5363: I believe this is a mixture problem, but I am stuck at setting it up (formula). Can you please help me! Here is the question: How many ounces of pure water must be added to 60 oz of a solution that is 20% water to make a solution that is 30% water? I know this is not set up right.
Amount . rate = Quantity
Pure H20 x .30 .20x
60 oz. .20
Click here to see answer by rapaljer(4671)

Question 5426: if 576+288=842 What base is being used?
Thanks Caroline
Click here to see answer by rapaljer(4671)

Question 5457: True or False???
The union of the negative integers and the counting numbers is the set of integers??
Thanks Caroline
Click here to see answer by rapaljer(4671)

Question 4360: we want to mix so many pounds of almonds at $4.27 / pound
and so many pounds of cashews at $3.10 / pound
to get our final mix consisting of 60 pounds @ $3.49 / pound
how many pounds of almonds and cashews do i need
i'm having problems setting this up...here's what i have so far...
Type Cost per pound pounds Total cost
Almonds $4.27 x $4.27(x) =?
Cashews $3.10 y $3.10(y)=?
Mixture $3.49 60=x+y 3.49(60) = 209.40
so...i need to substitue x or y ?
so i take 60=x+y and solve for x
x=y-60
now i take my x term and substitute 4.27(y-60) = ?
ok...i need some help. Thx

Click here to see answer by CharStar(110)

Question 5431: In base 11 - what is the largest/smallest/differenct of a number represented by a 3-digit numeral in the form abc where a does not equal 0.
largest 999
smallest 100
difference 899
is this correct?? Thanks Caroline
Click here to see answer by longjonsilver(2297)

Question 5456: True or False???
The set of intergers is the same as the set of additive inverses of whole numbers?
Thanks...
Click here to see answer by longjonsilver(2297)

Question 5574: If 4203+434=5041 what base is it?
Thanks!
Click here to see answer by khwang(438)

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