Questions on Word Problems: Mixtures answered by real tutors!

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Question 77180: If 800ml of a juice drink is 15% grape juice, how much grape juice should be added to make a drink that is 20% grape juice?
Click here to see answer by rajagopalan(174)

Question 77642: In my algrebra class, we are currently solving word problems using graphing, substitution, or elimination. I have one question that I am absolutely stumped on. I cant figure out how to even begin to set the problem up. Here is the problem: A pastry chef created a 50ounce sugar solution that was 34% sugar from a 20% sugar solution and a 40% sugar solution. How much of the 20% sugar solution and how much of the 40% sugar solution were used? Can you please help me? ~Brandi~
Click here to see answer by Earlsdon(6294)

Question 77641: In my algrebra class, we are currently solving word problems using graphing, substitution, or elimination. I have one question that I am absolutely stumped on. I cant figure out how to even begin to set the problem up. Here is the problem: A pastry chef created a 50ounce sugar solution that was 34% sugar from a 20% sugar solution and a 40% sugar solution. How much of the 20% sugar solution and how much of the 40% sugar solution were used? Can you please help me? ~Brandi~
Click here to see answer by ankor@dixie-net.com(22740)

Question 77760: How much of an alloy that is 20% copper should be mixed with 200 ounces of an alloy that is 50% copper in order to get an alloy that is 30% copper? This is how I have set up the problem . My answer is 40 ounces, but does not work out when I replace the variable. Where did I go wrong? Thanks.
Click here to see answer by scott8148(6628)

Question 77960: A merchant wishes to mix candy worth $5 per lb with 40 lb of candy worth $2 per lb to get a mixture that can be sold for $3 per lb. How many pounds of $5 candy should be used?
Click here to see answer by ptaylor(2198)

Question 78043: Tickets for a play at the community theater cost $16 for an adult and $2 for a child. If 210 tickets were sold and the total receipts were $2380, how many of each type of ticket were sold?
Click here to see answer by tutorcecilia(2152)

Question 78147: How many gallons of a 70% alcohol solution must be mixed with 50 gallons of a 20% solution to obtain a solution that is 60% alcohol
Click here to see answer by stanbon(75887)

Question 78581: grade B syrup sells for $1.35/L less then grade A syrup.if 80L of grade B syrup is mixed with 40 L of Grade A syrup, the resulting mixture will be worth $1.85/L. what is the unit price for the two grades of syrup?
Click here to see answer by ankor@dixie-net.com(22740)

Question 78615: A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a black card.
Click here to see answer by stanbon(75887)

Question 78617: The probability that an individual is left- handed is o.11. In a class of 40 students, what is the probability of finding five left- handers?
Click here to see answer by stanbon(75887)

Question 78618: Find the area under the standard normal curve between z = 1 and z = 2.
Click here to see answer by stanbon(75887)

Question 78611: Tropical pools sells an aboveground model for p dollars each. The monthly revenue from the sale of this model is given by
R=-0.08p^2+300p
revenue is the product of the price p and the demand (quantity sold).
A) Factor out the price on the right hand side of the formula
B) What is the expression of the monthly demand?
C) What is the monthly demand for the pool when the price is $3000

Click here to see answer by Edwin McCravy(20056)

Question 78633: Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 75 women are randomly selected, find the probability that they have a mean height between 63 and 65 inches.
Click here to see answer by Edwin McCravy(20056)

Question 78630: The access code to the house's security system consist of five digits. How many different codes are available if each digit can be repeated?
Click here to see answer by checkley75(3666)

Question 78631: Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students.
x | 0 | 1 | 2 | 3 | 4
p(x) |0.01 | 0.04 | 0.37 | 0.34 | ?

Click here to see answer by stanbon(75887)

Question 78730: An airline reports that it has been experiencing a 15% rate of no-shows on advanced reservations. Among 150 advanced reservations, find the probability that there will be fewer than 20 no-shows.
Click here to see answer by stanbon(75887)

Question 78632: Assume that the salaries of elementary school teachers in the United States are normally distribured with a mean of $32,000 and a standard deviation of $3,000. If a teacher is selected at random, find the probability that he or she makes more than $36,000.
Click here to see answer by stanbon(75887)

Question 78748: A random sample of 56 fluorescent light bulbs has a mean life of 645 hours with a standard deviation of 31 hours. Construct a 95% confidence interval for the population mean.
Click here to see answer by stanbon(75887)

Question 78749: Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $32,000 and a standard deviation of $3,000. If a teacher is seledcted at random, find the probability that he or she makes more than $36,000.
Click here to see answer by Edwin McCravy(20056)

Question 79617: Not in book
A mixture of 10% acid and 90% water is added to 5 liters of pure acid. The final mixture is 40% water. How many liters of water are in the final mixture?
Click here to see answer by ptaylor(2198)

Question 79808: How many liters of water must be added to 50 liters of a 30% acid solution in order to produce a 20% acid solution?
Click here to see answer by ptaylor(2198)

Question 79928: A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately?
Click here to see answer by Domtone(2)

Question 80092: a ten gallon container holds an 8% saline solution. I add 1/4 gallon fo salt to this container. What percent saline is this new solution?
Click here to see answer by stanbon(75887)

Question 80386: 60. Business and finance. A coffee merchant has coffee beans that sell for $9 perpound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
Click here to see answer by bucky(2189)

Question 80420: a nurse at a local hospital is estimating the weight of infants. how large a sample must she select if she desires to be 95% confident that the true mean is within 3 ounces of the sample mean? sd=7
Click here to see answer by stanbon(75887)

Question 81126: Find the length of a pendulum that makes one swing in three seconds?
Click here to see answer by scott8148(6628)

Question 82188: Imagine that you have just been elected the Mayor of Small City America. The City charter clearly stated that you are not allowed to run a budget deficit. Your first day in office, you asked the city controller to come over to your office for a �let me know what is happening� type of discussion. After drinking tea, you get down to business.
The controller informed you that the city founder believed in a simple fixed tax system. Currently, each city resident is tax at $1000 per year. The controller informed you that the city needs $1-million per year just to function even if there is no population to support. In addition to the fixed cost of running the city, the city needs to provide services to the residents. In order to help understand the cost of servicing the local population, the controller said that a local community college professor modeled the servicing cost, and said that the cost would be represented in the form of 0.2X2, where X is the number of city residents.

Write the quadratic equation the models the city�s budget (Expected Revenue versus the Expected Cost).

At what population level would the city run its maximum budget surplus, and what is the value of the maximum budget surplus?
What is the highest number of people the city can support without running a deficit?

Click here to see answer by stanbon(75887)

Question 82355: A store offers a mixture of raisins and dried pinapple. Raisins cost $3 per pound and dried pinapple cost $4 per pound. How many pounds are needed to make 20 pounds of mixture worth $3.60 per pound?
Click here to see answer by askmemath(368)

Question 82467: Working Together,Doug and Barbara can do a job in 6 hours. Barbara is able to do the job in 10 hours. How long does it take Doug to do the job if he works alone?
Click here to see answer by checkley75(3666)

Question 82666: A farmer keeps some animals on a strict diet. Each animal is to receive 14.7 grams of protein and 7.9 grams of carbohydrates. The farmer has two food mixes with nutrients shown in the illustration. How many grams of each mix should be used to provide the correct nutrients to the animal?
Mix Protein Carbohydrates
Mix A 12% 9%
Mix B 15% 5%
Click here to see answer by stanbon(75887)

Question 83065: Please help!
The demand and supply equations for a certain item are given by:
D= -5p +40
S= -p^2+30p-8
Find the equilibrium price?
Click here to see answer by stanbon(75887)

Question 83065: Please help!
The demand and supply equations for a certain item are given by:
D= -5p +40
S= -p^2+30p-8
Find the equilibrium price?
Click here to see answer by scott8148(6628)

Question 83248: Help me please! A coffee and tea shop wishes to blend a $3.50-per-pound coffee with a $4.75-per-pound coffee in order to produce a $4-per-pound blend. How much of each would hve to be used to produce 100 pounds of the nw blend?
Click here to see answer by ptaylor(2198)

Question 83487: If I have six fish in each tank and 1 fish left over. If have seven in each tank and 1 tank left over, how many fish and how many tanks do I have?
Click here to see answer by Earlsdon(6294)

Question 83873: Heritage National Bank offers two different checking accounts. The first charges $3 per month, and $.50 per check after the first 10 checks. The second account charges $8 per month with unlimited check writing. How many checks can be written per month if the first account is to be less expensive than the second account?
Click here to see answer by Nate(3500)

Question 83935: An account executive bought 330 stamps for $79.50. The purchase included $.15 stamps, $.20 stamps, and $.40 stamps. The number of $.20 stamps is four times the number of $.15 stamps. How many $.40 stamps were purchased?
Click here to see answer by ankor@dixie-net.com(22740)

Question 84494: An automobile radiator contains 16L of antifreeze and water. This mixture is 30% antifreeze. How much of this mixture should be drained and replaced with pure antifreeze so that there will be 50% antifreeze? (Not from a textbook.) I'm ok to solve is just adding antifreeze, but can't figure out how to set it up so that the solution is drained and replaced with pure antifreeze.
Click here to see answer by scott8148(6628)

Question 85077: Cashews costing $5.50 per pound are mixed with pecans costing $3.00 per pound. How many pounds of each should be mixed to obtain a 20 pound cashew pecan mixture costing $3.50 per pound?
Thanks,
Tonya
Click here to see answer by jim_thompson5910(35256)

Question 85076: The perimeter of a rectangle is 94 inches: its length is 2 inches more than twice its width. Find the length of width of the rectangle.
Click here to see answer by mala_kumarkos@yahoo.com(10)

Question 85236: Problem:
Working together, pipe I and Pipe II can fill a tank in 12 hours. Pipe I takes twice as long as pipe II to fill the tank. How long would it take for pipe II, working by itself, to fill the tank.
solution: Suppose pipe II takes x hours,
then pipe I takes 2X hours.
together they take 12 hours.
so x + 2x = 12hours
3x = 12
x = 4
But I was told that my problem is wrong... and it is to solved using the formulae: work done = rate * time.
I got this problem in my exam so i do not have the ISBN.
Plz help me find answer for this
Thanking u in advance..

Click here to see answer by stanbon(75887)

Question 85295: Problem:
The length of a rectangular poool is 40 feet. the width is 24 feet. A walkway of uniform width surrounds the pool. The combined area of the pool and walkway is 2240 sqft. Find the width of the walkway?
Solution:

40s+40s+24s+24s = 2240
128s = 2240
s = 17.5
I dont know how to go about it... I know this is wrong!!!!
Plz help!!!! I do not have the ISBN because that is from one of my exams .
Click here to see answer by checkley75(3666)

Question 85365: A solution of 79% alcohol is to be mixed with a solution of 20%alcohol to form 413 liters o a 47% solution. How many liters of the 79% solution must be used?
Thank you so much for helping me.
Click here to see answer by ptaylor(2198)

Question 85385: Kindly solve this problem....

1 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?

Thank you so much...

Click here to see answer by j_joy20@yahoo.com(1)

Question 85351: Determine the maximum and minimum values of the following set of numbers.
2,7/9, -8, -17/7, 1/4, -3, 35/6
Click here to see answer by scianci(186)

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