Questions on Word Problems: Mixtures answered by real tutors!

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Question 133858: Want to make 30 bounds of a bird seed that costs $3 per pound. They are using thistle seed for $2 per pound and sunflower seeds for $3.50 per pound. How many pounds of sunflower seeds should be used in this mixture?
algebra 1

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Question 133896: An auto mechanic has 300mL of batter acid solution that is 60% acid. He must add water to this solution to dilute it so that it is only 45% acid. How much water should he add?
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Question 133977: It takes Bob three hours to mow a lawn, and John can mow the same lawn in 2 hours. How long would it take the two of them working together to mow that lawn?
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Question 134143: this question is so easy but yet i just can't figure it out. It's driving me crazy. I just need the fomula, i think. okay so here it is.
One-third of a number is 5 less than half of the same number. What is the number?

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Question 134143: this question is so easy but yet i just can't figure it out. It's driving me crazy. I just need the fomula, i think. okay so here it is.
One-third of a number is 5 less than half of the same number. What is the number?

Click here to see answer by Earlsdon(6294) About Me 
Question 134143: this question is so easy but yet i just can't figure it out. It's driving me crazy. I just need the fomula, i think. okay so here it is.
One-third of a number is 5 less than half of the same number. What is the number?

Click here to see answer by nycsharkman(136) About Me 

Question 134140: In baseball a player's batting average is the ratio of hits to the number of times he or she has batted. Thus, if the player has an average of .300,it means he or she got 300 hits in 1000 at bats. In order to have an average of .300, how many hits would the batter have to get in 400 times at bat?
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Question 134246: Ziggy's Famous Yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain low-fat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low-fat yogurt?
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Question 134473: b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth.) w=Cr^-2(r=distance)

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Question 134502: How many milliliters of a 40% acid solution must be added to 150 milliliters of a 65% acid solution to obtain a 50% acid solution?
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Question 134535: John mixes a certain amount of 10% isopropyl mixture with 60 gallons of a 20% isopropyl solution, and the resulting mixture is 16% isopropyl. How much of the 10% isopropyl did he add?
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Question 134775: Solve the problem using three variables.
A company sells nuts in bulk quantities. When bought in bulk, peanuts sell for $1.50 per pound, almonds $2.25 per pound, and cashews for $3.75 per pound. Suppose a specialty shop wants a mixture of 270 pounds that will cost $2.89 per pound. Find the number of pounds of each type of nut if the sum of the number of pounds of almonds and cashews is twice the number of pounds of peanuts. Round your answer to the nearest pound.

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Question 134219: If y varies inversely as x^2, and y=2 when x=4, what is the constant of variation?
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Question 134218: The amount of money that a salesperson makes varies directly as the total amount of sales made. If the salesperson receives $7,500 for selling a house for $120,000, how much will he or she make if he or she sells a house for $150,000?
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Question 135012: Chapter Title: Classic Puzzles in Two Variables
A grocery store sells a mixture of peanuts and raisins for $1.75 per pound. If peanuts cost $1.25 per pound and raisins cost $2.75 per pound, what amount of raisins and peanuts go into 1 pound of the mixture?
How do I set up my two equations?
p+r=
125p+275r=

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Question 135404: A man has twenty cons consisting of dimes and quarters. If the dimes were quarters and the quarters were dimes, he would have ninety cents more than he has now. How many dimes and quarters does he have?
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Question 135455: What quantity of a 60% acid solution must be mixed with a 30% solution to produce 300mL of a 50% solution?
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Question 135555: A 20 minute consumer survey mailed to 500 adults aged 25-34 included a $5 Starbucks gift certificate.The same survey was mailed to 500 adults aged 25-34 without the gift certificate. There were 65 responses from the first group and 45 from the second group.(a)Perform a two tailed test comparing the response rates(proportions)at ∝ = .05. (b) Form a confidence interval for the difference of proportions, without pooling the samples. Does it include zero?

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Question 135619: A chemist is making 200 L of a solution that is 62% acid. He is mixing an 80% acid solution with a 30% acid solution. How much of the 80% acid solution will he use?
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Question 136095: Dr. Kingsley took 60 ounces of a 20% gold alloy and mixed it with a 30% gold alloy to get a 24% gold alloy. How many ounces of the 30% gold alloy did he use?
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Question 136252: Eric a health care enthusiast enjoys mixing his own beverages. His current favortie is a carrot drink that conatins 40% pure carrot juice. He has been to the store and has found some concentrated juice that is 60% pure carrot juice. His weife, Alcia found some carrot juice on sale and she brought home 80 quarts. It contains 12% pure carrot juice. How many quarts of the cocentrated 60% carrot juice does Eric need to add to the 80 quarts that Alicia brought home to produce his perfect drink containg 40% carrot juice?
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Question 136392: On the blueprint of Lauren's new office building, the scale is 3 in. equals 8 ft. What will be the actual length of Lauren's office if it measures 6 in. long on the blueprint?
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Question 136394: Carlos works 8.25 h and receives $102.30 pay. What will he receive at the same rate if he works if he works 14 h?
A) $189.10 B) $204.60 C) $173.60 D) $158.10
I thought I would get the answer by doing this... $102.30 divided by $8.25= 12.4 h so $8.25 multiplied by 14 h = $115.50, but as you can see this answer is not one of my options. What am I doing wrong?

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Question 136523: How many gallons of a 4% acid solution should be mixed with 20 gallons of a 10% acid solution to obtain a mixture that is 5% acid?
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Question 136597: How many pounds of hamburger that costs $1.10 per pound must be mixed with 50 pounds of hamburger that costs $1.80 per pound to make a mixture that costs $1.30 per pound?
I came up with the answer of 175 pounds but I don't know how to write an equation to come up with this number.

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Question 136750: A solution containing 30% insecticide is to be mixed with a solution containing 50% insecticide to make 200 L of a solutions containing 42% insecticide. How much of each solution should be used?
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Question 136776: Hey, I need help with this problem please. I can't figure it out. Thank you.
A coffeehouse wholesaler wants to blend coffee containing 35% chicory with a coffee containing 15% chicory to produce a 500 pound blend of coffee containing 18% chicory. How much of each type of coffee is required?

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Question 136946: Mr. Johnson has 11 quarts of punch that is 16% lemonade. He wants to makee some punch containing 52% lemonade. How much lemonade should he add?
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Question 136962: How many liters of a 60% alcohol solution must be mixed with 90 liters of a 90% solution to get a 80% solution
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Question 137157: An alloy of silver and gold is to be recast with an addition of silver. The alloy consists of 80 ounces, 10 ounces of which are gold. If the new alloy is to have only one-fifth of an ounce of gold in 5 ounces, how much silver must be added? How would you set up the equation?
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Question 137287: Ninety liters of pure maple syrup that costs $8.00 per liter are mixed with imitation maple syrup that costs $2.80 per liter. How much imitation maple syrup is needed to make a mixture to sell for $5.14 per liter?
This is going to be a 2 steps process:
Pure syrup=90 liter Imitated syrup=x
Cost=8 dollars cost=2.80 dollars
By using direct proportional formala a/b=c/d
a=90 c=x liter of imitated syrup
b=8 d=2.80
90/8=x/2.80
8x=90(2.80)
8x=252
x=252/8
x=31.50 liter of imitated syrup
Step 2
x liter of imitated syrup that can sell for $5.14 per liter
Again use the direct proportional formula a/b=c/d
a=90 liters c=x liter of imitated syrup
b=8 dollars d=5.14 dollars
90/8=x/5.14
8x=90(5.14)
8x=462.60
x=462.60/8
x=57.83 liters of imitated syrup to make a sell for $5.14 per liter

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Question 137341: I need help with this!!! Here is the question.
The purity of gold is measured in karats, with pure gold being 24 karats. Other purities of gold are expressed as proportional parts of pure gold. Thus, 18 karat gold is 18/24, or 75% pure gold; 12 karat gold is 12/24, or 50% pure gold, and so on. How much 12 karat gold should be mixed with pure gold to obtain 60 grams of 16 karat gold?
If I could please get some help on this! Thank you very much!

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Question 137341: I need help with this!!! Here is the question.
The purity of gold is measured in karats, with pure gold being 24 karats. Other purities of gold are expressed as proportional parts of pure gold. Thus, 18 karat gold is 18/24, or 75% pure gold; 12 karat gold is 12/24, or 50% pure gold, and so on. How much 12 karat gold should be mixed with pure gold to obtain 60 grams of 16 karat gold?
If I could please get some help on this! Thank you very much!

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Question 137286: Ninety liters of pure maple syrup that costs $8.00 per liter are mixed with imitation maple syrup that costs $2.80 per liter. How much imitation maple syrup is needed to make a mixture to sell for $5.14 per liter?
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Question 137432: Grain Mixtures for Horses: Brianna is a barn manager at a horse stable. She needs to calculate the correct mix of grain and hay to feed her horse. On the basis of her horse's age, wieght, and workload, she determines that he needs to eat 15 lb of feed per day, with an average protein content of 8%. Hay contains 6%, whereas grain has a 12% protein content. How many pounds of hay and grain should she feed her horse each day?
I've been stuck on this problem for more than a few hours, any help will be appreciated. Thank you.

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Question 137649: Soybean meal is 12% protein; cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240-lb mixture that is 8% protein
I really cant figure out how to get the answer to this problem.
I am not sure where this question came from my instructor wrote it on the board.

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Question 137661: having trouble again. please help. I keep getting the wrong answer for a word problem, I think I am setting the problem up wrong, could someone help me. the question is a bank teller has 25 more $5 dollar bills than $10 dollar bills. If the total value of the money is $200, how many of each does she have?
Click here to see answer by scott8148(6628) About Me 
Question 137661: having trouble again. please help. I keep getting the wrong answer for a word problem, I think I am setting the problem up wrong, could someone help me. the question is a bank teller has 25 more $5 dollar bills than $10 dollar bills. If the total value of the money is $200, how many of each does she have?
Click here to see answer by edjones(8007) About Me 

Question 137837: Determine whether or not the following points are collinear.
(-2,-1),(5,5), and (7,9)

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Question 137832: if y varies inversely as x^2 and y=2 when x=4, what is the constant of variation?
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Question 137859: I need help understanding this, Please help. P Varies Directly as R and inversly as the square of S. If P = 175 and R = 252, and S = 6, Find P When R = 196 and S = 7
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Question 138056: A rocket is launched from atop a 102-foot cliff with an initial velocity of 158 ft/s. Substitute the values into the vertical motion formula h = -16t2 + vt + c. Let h = 0. Use the quadratic formula to find out how long after the rocket is launched it will hit the ground. Round to the nearest tenth of a second.

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Question 138220: How much 5% maple syrup and water mixture must be added to 100% maple syrup to produce 5 quarts of syrup that is 10% maple syrup?
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Question 138734: Hi, I am having a problem setting up the correct equation for this problem.
How much silver and lead should be added to 100 lbs of a mixture containing 15% silver and 30% lead to obtain an alloy containing 25% silver and 50% lead.
I believe the answer is 40lbs silver and 80lbs lead.
Thank you for your help.

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Question 138828: 1 ounce of the mixture containing 6% salt is to be mixed with 2 ounces of a mixture which is 15% salt, in order to obtain a solution which is 12% salt. What is the percentage of salt in the resulting solution?
when i try to do it on this website, it gives a syntax error on the last step so i can't see the answer spmebody please tell me the answer please.

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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