Questions on Word Problems: Mixtures answered by real tutors!

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Question 434985: 1) Diana has a total of 100 dimes and quarters.If the total value of the coins is $13.75, how many quarters does she have?
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Question 435215: PLEASEEEEEE HELPPPPP
If paul takes 10hours to paint a house , and wiliam takes 5 hours to paint the same house. how much time it will take them to paint the house if they work together ???

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Question 435711: Forty pounds of an alloy of copper and tin contain 8 pounds of copper. How many pounds of tin must be added to make a new alloy that is 10% copper?

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Question 435925:
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Question 435925:
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Question 436044: How many gallons of a solution of 20% acid must be blended with a solution of 5% acid to obtain 80 gallons of a solution of 12% acid

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Question 436044: How many gallons of a solution of 20% acid must be blended with a solution of 5% acid to obtain 80 gallons of a solution of 12% acid

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Question 436124: how do you sove this equation step by step (11-y)+ 0.5y=7.7 I need to solve for y.
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Question 436345: I have the next problem, and I need some help.
Emily mixed together 9 gal. of brand A fruit drink which contains 48% fruit juice. Find the percent of fruit juice in brand A if the mixture contained 30% fruit juice.
Thanks

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Question 436358: I need some help... please!!!!
Emily mixed 9 gal. of brand A fruit drink and 8 gal. of brand B fruit juice which contains 48% fruit juice. find the percent of fruit juice in brand A if the mixture contained 30% fruit juice.
Thanks

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Question 436889: 1. Alberto’s salary was $2000 greater than 4 times Nick’s salary. Write an equation stating Alberto’s and Nick’s salaries in terms of x and y.
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Question 436891: I have 2.6 oz. of 2 cycle oil. I want to make a 32:1 gas:oil mixture. How much gas do I add to the 2.6 oz. of oil to get this ratio?
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Question 437644: a number is divided by 5
4 is subtracted from the quotient
then 6 is added to the difference
the result is 10
what is the number?

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Question 437660: How much water should be added to 4 liters of (pure) antifreeze to make a solution that is 60% antifreeze?
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Question 437844: Oscar wants to mix 500 grams of peanuts with some cashews to create a nut mix that is 20% cashews. How many grams of cashews should Oscar add?
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Question 437844: Oscar wants to mix 500 grams of peanuts with some cashews to create a nut mix that is 20% cashews. How many grams of cashews should Oscar add?
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Question 438068: How many liter of pure hydrochloric acid must be added to 60 liters of solution that is 10% hydrochloric acid to get a solution that is 15% hydrochloric acid?
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Question 438592: It takes one pipe 10 min to fill a certain tank with water. It takes a second pipe 15 min. With both pipes open and the tank empty how long would it take to fill the tank?
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Question 438791: If sam can do a job in 4 days that Lisa can do in 6 days, and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom work together to complete it?
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Question 438825: There were 34,000 people at a ballgame in Los Angeles. The day's receipts from $13 reserved seats and $6 general-admission seats were $239,000. How many of each type of seat were sold?
what equations would I use too?

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Question 438820: I need help with this problem... The manager of a bulk foods establishment sells a trail mix for $8 per pound and the premium cashews for $15 per pound. The manager wishes to make a 105-pound trail mix cashew mixture that will sell for $12 per pound. How many pounds of each should be used?
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Question 438856: Serena wants to make 15 fluid oz. of a 35% alcohol solution by mixing together a 90% alcohol solution and a 10% alcohol solution. How much of each solution must she use?
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Question 438988: Mix a solution that is 40% alcohol with a solution that is 10% alcohol to make 225 mL of a solution that is 20% alcohol. How much of each solution should you use?

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Question 438983: how many mg of a metal containing 45% nickel must be combined with 6 mg of pure nickel to form an alloy containing 78% nickel?
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Question 439004: a solution is 45% hydrochloric acid. how much water should be added to 1000 milliliters of this solution to dilute it to a 15% solution?
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Question 439311: How much water must you add to 250.0mL of orange juice concentrate if you want the final juice to be 15.0% of the strength of the original?

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Question 439311: How much water must you add to 250.0mL of orange juice concentrate if you want the final juice to be 15.0% of the strength of the original?

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Question 438171: A customer has asked a caterer to provide 60 lbs of nuts, 60% of which are to be cashews. The caterer has available mixtures of 70% cashews and 45% cashews. How many pounds of each mixture should be used?
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Question 439343: What quantity of 80 per cent acid solution must be mixed with a 30 per cent solution to produce 1050 mL of a 50 per cent solution?
mL of acid solution =

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Question 439531: On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school.
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Question 439563: A 4-liter mixture of milk and coffee is 20% milk. A liter of pure coffee is added to this mixture. What percent if the new mixture is milk?
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Question 439540: Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have?
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Question 439652: if a man mixes 12 lbs. of peanuts thats $1.25 a lbs. with a pound of cashews at $1.80 a lbs. how many pounds of cashew do you need to make a $1.50 a lbs. mixture

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Question 439829: All together, is a mixture of 3L of Brand A fruit punch and 2L of apple juice. If brand A contains 30% fruit juice then what percent of the final mixture is fruit juice?
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Question 440000: How many gallons of a 25% acid solution must be mixed with 100 gallons of a 6% acid solution to obtain a mixture that is 20% acid?
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Question 440177: the coffee shoppe sells a coffee blend made from two coffees, one costing $5/lbs and the other costing $6/lbs. If the blended coffee sells for $5.60/lb find how much of each coffee is used to obtain the desired blend. Assume that the weight of the blended coffee is 100lbs.
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Question 440161: A.Find the equation of the quadratic function in standard form
vertex (0, 18) ; passing through (-3, 0)
A. y = -2x2 + 18
B. y = -2x2 - 18
C. y = x2 + 18
D. y = 18x2 + 18
B. 6. Write the quadratic function in the vertex form.
y = -3x^2 - 30x - 71
A. y = 3(x + 5) 2 + 4
B. y = -3(x - 5) 2 + 4
C. y = (x + 5) 2 + 4
D. y = -3(x + 5) 2 + 4



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Question 440157: Find the domain and the range of the given function.
f(x) = -x^2 + 6x
A. domain: {x|x≤ -3}; range: {y|y ≤ 9}
B. domain: all real numbers; range: {y|y ≤ 9}
C. domain: {x|x ≤ 3}; range: {y|y ≤ 9}
D. domain: all real numbers;range: {y|y ≤ -9}


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Question 440190: Steve owns a hotdog stand. He has found that sales of hot dogs average 42,000 hot dogs a year when the hot dogs sell for $2.50 each. For each 50 cent increase in the price, the number of hotdogs sold drop by 5000. What price per hot dog should Steve charge to realize the maximum revenue?
A. $1.70
B. $4.20
C. $3.35
D. $3.60

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Question 440479: How many liters of a 10% alcohol solution must be mixed with 20 litres of a 90% solution to get a 60% solution?
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Question 440450: Hello,
Could you explain to me how to solve the following word problem on mixtures?
How many liters of a 25% antifreeze solution should be added to 5 liters of 10% solution to obtain a 15% solution?
Thank you for you help.

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Question 440712: Please help me solve this equation:
A fence around a square garden has a perimeter of 20 feet. Find the length of the diagonal of the garden to the nearest foot.

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Question 440976: I have 20 ml of clove oil. Using all of it, I want to make a 2% solution in water. If there are 3785 milliliters to a gallon, how much water do I add to the 20 ml? Also, can you convert the added water amount to ounces?
Thanks very much!

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Question 440992: in a chemistry class, 7 litters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution. how many liters of the 10% solution are needed?
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Question 441219: A chemist has two alcohol solutions, one is 20% and one is 50% alcohol solution. He needs 12 liters of a solution that is 45% alcohol, how much of each does he mix?
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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