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Question 184025: I have a word problem that I cannot figure out.
Problem is:
The Nature Center sells bird seed for 75 cents per pound and sunflower seed for $1.10 per pound. To the nearest pound, how many pounds of sunflower seed should be used to create a 50-pound mixture that sells for $0.90 per pound.
I have tried the following: 1.10x+.75x = .90(50) and 1.10x+.75x = .90(50+2x).
The first one came close to the answer but still not the answer.
Thank you,
Rodney Clifton
Click here to see answer by stanbon(75887)

Question 184199: This is a teacher generated question.
How many liters of a 30% alcohol solution must be mixed with 80 liters of a 80% solution to get a 40% solution.
I've tried the following, but I'm not sure it's right at all.
a+b=80L
30a+80b=3200
Multiply by -30 to use the elimination format, this give you:
-30a - 30b = -2400L
30a + 80b = 3200L
50b = 800
b=16L, which makes a = 64L

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

Question 184214: Betty and Sue use a metal that is 17.3% copper to make jewelry. How many ounces of a 17% alloy must be mixed with a 18% alloy to form 80 ounces of the desired alloy?
Click here to see answer by ankor@dixie-net.com(22740)

Question 184289: The area of a square is numerically 3 less than the perimeter. Find the length of the side, if this length is greater than 1 unit.
Click here to see answer by rapaljer(4671)

Question 184287: The length of a rectangular frame is 7cm more than the width. The area inside the the frame is 98 square cm. Find the width of the frame.
Click here to see answer by MathGuyJoe(20)

Question 184290: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9ft. Find the lenght of the ladder if the lenght is 3ft. more than its distance from the wall.
Click here to see answer by rapaljer(4671)

Question 184451: You need a 40%saline solution for an experiment, but only have 25% saline and 75% saline solutions. How much of each would you have to combine to create 50ml of 40% saline solution?
Click here to see answer by stanbon(75887)

Question 184467: A school district is combining 2 schools that will have a total of 1000 students, 42% of whom are african american. 90% of one school is african american and 10% of the other is african american. How may students are in each school.
I've tried solving it several different ways x/2 + 420 = 1000 and x + y - 420 = 1000 for example and just can't figure this out! Please help - thank you very much!
Click here to see answer by solver91311(24713)

Question 184741: I have two questions that I need help on.
The first one is: The length of a rectangle is twice the width. the area is 50 yd^2. fin the length and the width.
The second one is: A student opens a mathematics book to two facing pages. the product of the page numbers is 2162. Find the page numbers.
Can someone please help me with these two? I would really appreciate it, and I thank you in advance for your help.
Click here to see answer by user_dude2008(1862)

Question 184894: Depmsey Candy company wants to make a new mixture. How many pounds of nut mix worth $8 per pound should be added to 20 pounds of choclate drips worth $5 per pound to get a mixture work $6 per pound?
Click here to see answer by Earlsdon(6294)

Question 184934: Elen wishes to mix candy worth 2.15/ pound with candy worth 3.92/ pound to produce 30 pounds of mixture worth 2.80/pound. How many pounds of the more expensive candy should he use?
Click here to see answer by checkley77(12844)

Question 184968: A COFFEE MERCHANT COMNBINED COFFEE COSTING $6 PER POUND, WITH COFFEE COSTING $3.50 PER POUND. HOW MANY POUNDS OF EACH WERE USED TO MAKE 25 POUNDS OF A BLEND COSTING $5.25 PER POUND?

Click here to see answer by checkley77(12844)

Question 185093: i'm stuck trying to figure out the 3rd equation for this system of linear equations.
Shop owner buys soda for 3 different prices. cola = $1.5, diet = $.90
sprite =$.50
The monthly budget is $2000 to purchase.
Selling price is cola $3.00, diet $2.50, sprite $1.75.
The inventory can hold 1000 gallons a month.
Past demand has been coke = 400 gal., diet = 500 gal. and sprite = 300 gal.
my start is:
c + d + S = 1000
1.5c + .9s + .5d = 2000

HELP PLEASE!!!
Click here to see answer by edjones(8007)

Question 185116: Candy sells for $1.30 per lb is to be mixed with candy selling for $0.90 per lb to get 100 lb of a mix that will sell for $1 per lb. How much of each type should be used?
Click here to see answer by edjones(8007)

Question 185210: 10lbs of mixed nuts containing 30% peanuts were mixed with 18lbs of peanuts. Peanuts are what percent of the new mixture?
i tried this:
.3=10+18
Click here to see answer by stanbon(75887)

Question 185207: 9lb of bleached flour which costs $8/lb were combined with 3lb of unbleached flour which costs $4/lb. Find the cost per lb of the mixture
Click here to see answer by checkley77(12844)

Question 185480: soybean is 12% protien, cornmeal is 6% protien. How many pounds of each should be mixed together in order to get a 240 pound mixture that is 9% protien
Click here to see answer by Alan3354(69443)

Question 184468: Question 1:
A work word problem
If Adam and Beth would paint the room together, they would need 5 hours. If Adam and Cindy would paint it together, they would need only 4 hours. If Beth and Cindy would paint it together, they would need only 3 hours. How long do they need if all three work together?
Generalize this kind of problem for 4 persons, and solve this as well.
Question 2:

Mixture problem II
You have two large 2 liter container and a small cup of unknown volume. At the beginning you have 1.2 liter of acid solution of unknown concentration in the left container, and 0.9 liter pure acid in the right one. We take one cup of solution from the left container and putting it into the right one. After that we take one cup of the resulting solution from the right container and put into the left container. Finally we again put one cup solution from the left container into the right one. At the end, we have 50% acid solution in the left container and 80% acid solution in the right one. How large is the cup, and what was the initial acid concentration in the left container?
Question 3:

A Cinema Word Problem
In a cinema, the price is 12 SF per person. Students however do only pay 9 SF, and children pay only 1 SF each. If the total amount paid by 41 persons is 400 SF, how many of them were students and how many children?
Solve this problem, discuss the method, and explain wether or not your method can be applied to the general problem where the prices are a, b, c, and the total amount paid by the n persons is m. How does the choice of a, b, c, n, m affect the number of solutions?

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

Question 185835: One-third of a number is 5 less than half of the same number. What is the number?
Click here to see answer by solver91311(24713)

Question 186003: find a polynomial for the perimeter and for the area. I am given m+3 for one side and m for the other. I come up with m^2+3 but think this is wrong. Can someone please help me?
Click here to see answer by Alan3354(69443)

Question 186004: Find the variation constant and an equation of variation where y varies directly a x and y=16 when x=2. For some reason I am totally lost in these words and can't figure out even how to set this up. Help would be deeply appreciated.
Click here to see answer by stanbon(75887)

Question 186002: If the sides of a swuare ae lengthened by 7 cm, the area becomes 144 cm^2. Find the lenght of a side of the original square. I come up with 29 cm for the answer but not sure if this is correct. Can you help me with this. I thank you in advance for all your help.
Click here to see answer by Edwin McCravy(20056)

Question 186265: a tea shop sells grea tea for $4.00 a pound and a white tea for $2.75 per pound. the manager decides to combine the two types of teas to make a mix that sells for $3.50 per pound. the mis should not cause any change in revenue. how much of each tea should combine to make a 10 pound mixture
Click here to see answer by josmiceli(19441)

Question 186415: a merchant has coffee worth $20 a pound that she wishes to mix with 80 pounds of coffee worth $90 a pound to get a mixture that can be sold for $60 a pound. how many pounds of the $20 coffee should be used?
Click here to see answer by stanbon(75887)

Question 186439: Angelina wants to add 60% antifreeze solution to her car's radiator. About how much 60% antifreeze solution can she make by mixing 1 gallon of pure antifreeze with water?
Click here to see answer by ptaylor(2198)

Question 186501: Gourmet coffee worth $5.50 per pound was mixed with low grade coffee worth $2.95 per pound to produce a blend worth $213.80. How much of each kind of coffee was used to make the blended coffee?
Click here to see answer by stanbon(75887)

Question 186507: Peanuts worth $2.90 per pound were mixed with cashews worth $4.60 per pound to make 51 pounds of a mixture worth $3.50 per pound. How many pounds of each were used?
Put x= pounds of peanuts and y= pound of cashews and make the equations as follows:
2.9*x + 4.6*y = 3.5*(x+y)
x + y = 51
solve the 2 equations as follos:
2.9x + 4.6y = 3.5*(x+y)= 3.5*51= 178.5
make x+y = 51 becomes -2.9x -2.9y =-2.9*51= -147.9
===> 4.6y-2.9y = 178.5- 147.9
1.7y = 30.6
y = 30.6/1.7
y = 18
then x= 51 - 18 = 33
conclusion: peanuts have 18pounds and cashew have 33 pounds to be used.
Click here to see answer by stanbon(75887)

Question 186628: The world�s strongest beer, which contains 13.2% alcohol, can be found in Kulmbach, West Germany. The world�s weakest beer, which contains 0.2% alcohol, can also be found in Germany. How many liters of the world�s weakest and strongest beers are needed to make 100 liters of a mixture that is 8% alcohol?
Click here to see answer by ptaylor(2198)

Question 186675: A grocer makes a natural breakfast cereal by mixing oat cereal that cost $2 per pound with dried fruit and nuts that cost $9 per pound. How many pounds of each are needed to make 60 pounds of the cereal if it will sell for $ 7 per pound and yield a prifit of $ 195 after the entire 60 pounds is sold.
Click here to see answer by ankor@dixie-net.com(22740)

Question 186694: A tank has three fill pipes and one drain pipe that are all controlled by levers located on a control board. The lenghts of time necessary to fill or empty the tank while working alone are listed below.P1 is started at noon and allowed to run for 10 minutes at which time p2 and p4 are opened. After some time has passed the operator realizes that he opened the drain pipe by mistake.
In an attempt to rectify the situation, he accidently closes p2 and opens p3.
The tank then fills in 15 minutes. At what time of the day the tank become full?
FIll Drain
Pipes p1 P2 P3 P4
Time(min) 20 60 90 30
Click here to see answer by Alan3354(69443)

Question 186724: tank has three fill pipes and one drain pipe that are all controlled by levers located on a control board. The lenghts of time necessary to fill or empty the tank while working alone are listed below.P1 is started at noon and allowed to run for 10 minutes at which time p2 and p4 are opened. After some time has passed the operator realizes that he opened the drain pipe by mistake.
In an attempt to rectify the situation, he accidently closes p2 and opens p3.
The tank then fills in 15 minutes. At what time of the day the tank become full?
FIll Drain
Pipes p1 P2 P3 P4
Time(min) 20 60 90 30
Click here to see answer by ankor@dixie-net.com(22740)

Question 187044: I'm stuck on this problem, the 1 part oil in the problem is giving me a problem.
Mixture Problem
A forester mixies gasoline and oil to make 2 gallons of mixture for his two-cycle chainsaw engine. This mixture is 32 parts gasoline and 1 part oil. How much gasoline must be added to bring the mixture to 40 parts gasoline and 1 part oil?
Thanks
Click here to see answer by ptaylor(2198)

Question 187222: How many liters each of 12.5% acid solution and 20.25% acid solution must be mixed to obtain 100 liters of 17.5% acid solution?
(Please show the work.)
Click here to see answer by stanbon(75887)

Question 187242: A machine ca fill 35111 cartons of milk in 0.5 hours. How many cartons of milk can it fill per hour?
Click here to see answer by vleith(2983)

Question 188280: Find the cost per ounce of a mixture of 30 oz of an alloy that costs $4.50 per ounce, 40 oz of an alloy that costs $3.50 per ounce, and 30 oz of an alloy that costs $3.00 per ounce.
Click here to see answer by Alan3354(69443)

Question 188470: A farmer needs 120 gallons of an 18% nitrogen fertilizer. But the farmer only has 10% nitrogen and 22% nitrogen fertilizer. How much of each fertilizer does the farmer need to mix?
Click here to see answer by stanbon(75887)

Question 188471: Gerry mixes different solutions with concentrations of 25%,40% and 50% to get 200 liters of a 32% solution. Also, it takes twice the liters of the 40% solution to equal the same liters of the 25%,find how many liters of each kind he uses.
Click here to see answer by ankor@dixie-net.com(22740)

Question 188538: 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 nerdybill(7384)

Question 188837: when we multiply 37 x 26 by using the standard multiplication algorithm, we start the second line by writing a zero: 37
x26
------
222
0
Explain why we place this zero in the second line?
Click here to see answer by vleith(2983)

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