Questions on Word Problems: Mixtures answered by real tutors!

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Question 208028: Hi! I do pretty well in algebra but when it comes to word problems I seem to have the hardest time figuring them out and wanted to if someone can help with this problem I have been stuck on for quite some time. Thanks.
Here is the problem:
A mixture, contains 32 oz. of butter, 48 oz. of sugar, 96 oz. of flour, and 54 oz. of milk. What percent of the total is each of these elements?
Here are the answers to choose from:
A. Butter: 13.9%, Sugar: 20.3%, Flour: 41.8%, Milk: 23.9%
B. Butter: 23.9%, sugar: 20.3%, Flour: 51.8%, Milk: 23.9%
C. Butter: 13.9%, Sugar: 20.3%, Flour; 11.8%, Milk: 53.9%
D. Butter: 33.9%, Sugar: 20.3%, Flour: 41.8%, Milk: 23.9%
Thanks again!

Click here to see answer by Theo(13342) About Me 

Question 208233: This problem is not in a textbook. If I have 18,000 lbs of liquid and I know that in that 18,000 lbs there is 1.60 lbs of ammonia. How much ammonia is in one pound of this liquid?
Thanks.

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Question 208258: The combined cost of one advance ticket and one same-day ticket to a show was $55. It is known that 15 tickets were sold in advance and 30 the same day, for total receipts of $1050 . What was the price of each kind of ticket?



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Question 208325: What quantity of 75 per cent acid solution must be mixed with a 25 solution to produce 480 mL of a 50 per cent solution?

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Question 208658: If tracey bought coffee at $3.00 a cup using a 30-day month,find the total amount
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Question 208659: If max bought coffee at $4.00 a cup on a average using a 30-day month,find the total amount use formulae m=4(30)
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Question 208661: If tracey and max make their own specialty blend of coffee.they estimate that it costs about $1.00 for every 2 cups of coffee. Determine how much they are saving by making their own coffee
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Question 208662: Tracey and Max determined that the vacation they would like to take for their anniversary would cost $2250. If they put the money saved by making their own coffee into a vacation account,would there be enough money in eight months to take their vacations?
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Question 208719: A paint mixture contains 2 parts of green paint and 6 parts of white paint. How many gallons of green paint must be added to 16 gallons of this mixture to obtain a new mixture which has 40% green paint?

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Question 208752: Can you think of one extra expense you could eliminate so you could save money for a vacation? Calculate the savings.
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Question 208984: How many ounces of a metal other than gold must be added to 56 ounces of pure gold to make a composition 70% gold?
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Question 209118: You want 40 liters of 60% solution. How much 80% solution and how much 28% solution must you mix to produce that result? ( Round to the nearest hundredth.)


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Question 209120: Seven curliy fries and four plain fries cost $16.83. Five curlies and 12 plains cost $23.45. How much does one order of curlies cost? One order of plains?
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Question 209176: Find the cost per pound of a coffee mixture made from 8 lb of coffee that costs $9.20 per pound and 12 lb of coffee that costs $5.50 per pound.
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Question 209175: Tickets for a piano concert sold for $4.50 for each adult. Student tickets sold for $2.00 each. The total receipts for 1720 tickets were $5980. Find the number of adult tickets sold.
Click here to see answer by rfer(16322) About Me 

Question 209248: two cyclists start from the same point and ride in opposite directions. One cyclist rides twice as fast as the other. In 3 h, they are 81 mi apart. Find the rate of each cyclist.
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Question 209250: After a sailboat had been on the water for 3h, a change in the wind direction reduced the average speed of the boat by 5 mph. The entire distance sailed was 57 mi. The total time spent sailing was 6 h. How far did the sailboat travel in the first 3 h?
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Question 209217: mike and dan wanted to buy a present for their parents anniversary The anniversary was only one month away
every day i will put one of my coins in this piggy bank and you put one of yours in it toomike said ok said dan." ihave 22 nickels in my wallet" i have 18 dimes in mine" said mike
one day the brothers were surprised to notice dan actually had more money than mike in his wallet. how many days had passed since they had begun putting their coins into the piggy bank?

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Question 209249: A 555-mile, 5-hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. For the remainder of the trip, the average speed was 115 mph. How long did the plane fly at each speed?
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Question 209338: How many quarts of pure antifreeze must be added to 4 quarts of a 20% antifreeze solution to obtain a 30% anitfreeze solution
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Question 208928: How many liters of a 40%-alcohol solution must be mixed with 10 liters of a solution that is 80% alcohol to get a solution that is 60% alcohol?
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Question 209992: the leght of a rectangle is 5 cm greater than its width. the perimeter is 58 cm. find the dimension of the rectangle
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Question 209992: the leght of a rectangle is 5 cm greater than its width. the perimeter is 58 cm. find the dimension of the rectangle
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Question 209991: the leght of a rectangle is 5 cm greater than its width. the perimeter is 58 cm. find the dimension of the rectangle
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Question 184749: how many gallons of pure alcohol should be mixed with 20 gal of a 15% alcohol solution to obtain a mixture that is 25% alcohol.
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Question 209923: Please help... i need to do all these steps for the next word problem:
1st step- write a "let" statement, & express other quantities in terms of x
2nd step- translate to equation
3rd step- solve
4th step- check
5th step- answer question in a complete sentence.
-> The sides of a triangle are in the ratio 5:12:13. What is the lenght of each side of the triangle if the perimeter of the triangle is 15 in.?

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Question 210202: A staff member mixed a 35% solution with a 10% solution. How many liters of each will she need to mix in order to obtain 450 liters of a 20% solution?
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Question 210259: What quantity of 60 per cent acid solution must be mixed with a 25 percent solution to produce 252 mL of a 50 per cent solution?
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Question 210392: how many liters of 9% salt solution and 15% salt solution are needed to make 18 liters of 10% salt solution
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Question 210742: Solve the problem.
In 1998, the population of a given country was 37 million, and the exponential growth rate was 5% per year. Find the exponential growth function.
A)P(t) = 370.05t , where P(t) is in millions and t is the number of years after 1998.

B)P(t) = 37e0.05t, where P(t) is in millions and t is the number of years after 1998.
C)P(t) = 37e5t, where P(t) is in millions and t is the number of years after 1998.
D)P(t) = 37e0.05, where P(t) is in millions and t is the number of years after 1998

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Question 210794: how many liters of a 25% acid solution must be added to 20 liters of a 45% acid solution to get a 35% acid solution?
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Question 210704: If $5000 is invested in a bank that pays 5% interest, how much more must be invested in bonds at 8% to earn 6% on the total investment.
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Question 210927: 1. How much 84 octane gas and 98 octane gas should be blended to make 14 gallons of 92 octane gas?
2. A train leaves a station and travels north at 50 km/h. Two hours later a second train leaves on a parallel track traveling north at 90 km/h. how far from the station will they meet?
3.

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Question 210918: A merchant blends tea that sells for $3.45 a pound with tea that sells for $2.15 a pound to produce an 80 lb mixture that sells for $2.75 a pound. How much of the $3.45 lb tea and how much of the $2.15 lb tea does the mixture contain?
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Question 210703: A mixture of nuts contains almonds worth .50 cents a pound, cashews worth $1.00 per pound, and pecans worth .75 cents per pound. If there are three times as many pounds of almonds as cashews in a 100-pound mixture worth .70 cents per pound, how many pounds of each nut does the mixture contain?
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Question 210988: how many pounds of salted nuts selling for $4.80 should be mixed with 7 lbs of salted nuts selling for $4.20 per pound to obtain a mixture at $4.38 per pound
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Question 211001: How much solution of Hydrochloric acid at 11% concentration should be mixed with 8% concentratrion to produce a solution of 800 milliliters at 10%?
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Question 211039: How much water in gallons should be added to 1 gallon of pure antifreeze to obtain a solution that is %95 antifreeze?
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Question 211309: A goldsmith has 120 grams of a gold alloy (a mixture of gold and one or more metals) containing 75% pure gold. How much pure gold must be added to this alloy to make it 80% pure gold?
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Question 211343: √6/√7 . √14/√3
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Question 211343: √6/√7 . √14/√3
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Question 211425: A pharmacist needs 60 oz of a 30% acid solution. He had available A which is 20% acid and B which is 50% acid. How many oz of each should be mixed to get the desired amount?
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Question 211529: How many grams of silver that is 60% pure must be mixed together with silver that is 35% pure to obtain a mixture of 90 grams of silver that is 45% pure?
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Question 211626: How much pure dye must be added to 4 gal of a 25% dye solution to increase the solution to 40% ?(hint:Pure Dye is 100% dye.)
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Question 207033: A plane flies 500 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 30 mph, what is the speed of the plane in still air?
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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