Questions on Word Problems: Mixtures answered by real tutors!

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Question 328834: a point with coordinates (x,y) is randomly selected such that 0 <= x <=10 and 0<=y <=10. what is the probability that the coordinates of the point will satisfy 4X + 5Y >=20?
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Question 328908: four line segments are chosen at random from a collection of six line segments having lengths 2,3,5,6,13 and 21 units. what is the probability that the four segments chosen could form a quadrilateral?
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Question 328920: the sum of the first twenty-one terms of an arithmetic series is 273. The fifth term is 7. What is the 49th term?
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Question 328911: A chef is using a mixture of two brands of Italian dressing. The first brand contains 9% vinegar, and the second brand contains 14% vinegar. The chef wants to make 380 milliliters of a dressing that is 10% vinegar. How much of each brand should she use?
I have set up the equation as a system of linear equations, but am not sure if I did it correctly.

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Question 328910: a circular target has scoring regions of 5 and 7 points. what is the largest score that cannot be obtained by throwing any number of darts that land on the target?
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Question 329227: number of real solutions?
discriminant?
-5x^(2)+5x+2=0

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Question 329353: By weight, an alloy of brass is 60% copper and 40% zinc. Another alloy of brass is 30% copper and 70% zinc. How many grams of each of these alloys must be melted and combined to obtain 300 grams of a brass with equal concentration of copper and zinc?
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Question 328739: Cashews cost $5 per pound and peanuts cost $1.50 per pound. How many pounds of cashews should be mixed with peanuts to get a mixture of 32 pounds that will cost $4 per pound? Round to the nearest tenth.
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Question 329459: ok this is the problem... AT A CERTAIN FACTORY, PRODUCTS ARE MADE IN VATS THAT HAVE THE CAPACITY TO HOLD 50 QUARTS. IF EACH BOTTLE OF A PRODUCT CONTAINS 10/26 QUART, HOW MANY BOTTLES CAN BE MADE FROM EACH VAT?
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Question 329828: Solution A is 10% sugar while Solution B is 30% sugar.A chemist wants to have a 60-liter mixture of solutions A and B with 18% sugar.How many liters of each solution should he use?
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Question 330094: in high school auditorium the number of rows of seats is double the number of seats in each row. if there are the same number of seats in each row and 1352 seats in total, how many rows are there?
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Question 330094: in high school auditorium the number of rows of seats is double the number of seats in each row. if there are the same number of seats in each row and 1352 seats in total, how many rows are there?
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Question 330094: in high school auditorium the number of rows of seats is double the number of seats in each row. if there are the same number of seats in each row and 1352 seats in total, how many rows are there?
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Question 330094: in high school auditorium the number of rows of seats is double the number of seats in each row. if there are the same number of seats in each row and 1352 seats in total, how many rows are there?
Click here to see answer by Alan3354(69443) About Me 

Question 330153: a mixture of acid and water is 35% acid. if the mixture contains a total of 40 liters.how many liters of pure water in the mixture? how many liters of pure acid in the mixture?
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Question 330157: Two glasses are each filled half-way with soda. One with cola and the other with lemon-lime. A small amount of the lemon-lime is completely mixed into the cola. The glass is stirred so they are completely mixed. Then the same amount of the mixture is removed from the cola glass and put back into the glass with the lemon-lime. After the exchange, is there more cola in the lemon-lime glass or more lemon-lime in the cola glass?
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Question 330203: How many kilograms (kg) of a 15% copper alloy must be melted with a 45% copper alloy to obtain 60 kilograms of a 32% copper alloy?

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Question 330882: How do you calculate how many cubic inches of wood will be needed for rectangular door?
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Question 331082: What quantity of 75 per cent acid solution must be mixed with a 30 per cent solution to produce 810 mL of a 50 per cent solution?

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Question 331275: A regular milk that is 10% fat mix with non-fat milk to obtain a lowfat milk that is 3%. How many pounds of regular milk and how many pound of non-fat milk should be mixed to obtain 80 pounds of lowfat milk?
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Question 331353: Solution is 2 parts of water and 3 parts of detergent. How many gallons do you need to make 15 gallons?
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Question 331350: If I paid $220.00 per kg how much is the cost per ounce
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Question 331277: Albert buys and sells books, and always purchase it at the same price. He then sells the books for $5 more than what he paid for. Two months before, he broke even after buying 56 books and selling 49. What is his buying price and selling price?
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Question 331418: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
I started off by:
(x/5) + (x/10) + (x/15) = 1
Need a common denominator in order to add:
which is 30.
(6x/30) + (3x/30) + (2x/30) = 1
= (6x + 3x + 2x)/ 30
= 11x/ 30
= x = 30/11 = 2.72 which is 2 mintues and 7 seconds
However, the answer is not correct according to the solution. Am I missing a step? Or is the solution incorrect?

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Question 331476: If Sylvia works overtime, she is paid 1 1/2 times as much per hour as usual. After working her usual 40 h last week, she worked an additional 4 h over-time. If she made $552 last week, find her usual hourly wage.
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Question 331642: What quantity of 60 per cent acid solution must be mixed with a 20 percent solution to produce 720 mL of a 50 per cent solution?
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Question 332483: A mixture of 40 litres of milk and water contains 10% water.How muah water must be added to make 20% in the new mixture?
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Question 332967: A solution containing 30% juice is mixed with a solution containing 10% juice to make a 100 gallon solution of 12% juice. How much of the 30% solution was used?
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Question 332968: Retail Sales. Mountainside Fleece sold
40 neckwarmers. Solid-color neckwarmers sold for
$9.90 each and print ones sold for $12.75 each. In all,
$421.65 was taken in for the neckwarmers. How many
of each type were sold?

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Question 333235: How would you calculate the following question?
A 25 ounce solution is 20% alcohol. If 50 ounces of water are added to it, what percent of the new solution is alcohol?

Thank you.

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Question 333237: How do you calculate this question?
A student finishes the first half of an exam in 2/3 the time it takes him to finish the second half. If the entire exam takes him an hour, how many minutes does he spend on the first half of the exam?

Thank you.

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Question 333304: The Coffee Counter charges $9.00 per pound for Kenyan French Roast coffee and $8.00 per pound for Sumatran coffee. How much of each type should be used to make a 20-lb blend that sells for $8.40 per pound?
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Question 333323: A store mixes coffee A worth $10. per kilogram and coffee B worth $12. per kilogram. The mixture is to sell for $11. per kilogram. Find how much should be used to make a 480 kilogram mixture.
How many kilograms of coffee A should be in the mix?
How many kilograms of coffee B should be in the mix?

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Question 333345: A chemist has 35% NaCl solution and 50% NaCl solution. How many liters of each should he mix to get 10L of NaCl solution with 40% base concentration?
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Question 333345: A chemist has 35% NaCl solution and 50% NaCl solution. How many liters of each should he mix to get 10L of NaCl solution with 40% base concentration?
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Question 333417: Jodie bicycles 8 km/h faster than Carlos. In the same time it takes Carlos to bicycle 60 km, Jodie can bicycle 84 km. How fast does each bicyclist travel?
Carlos travels ____ km/h
Jodie travels ____ km/h

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Question 333609: Beau Glaser wishes to strengthen a mixture from 10% alcohol to 30% alcohol. How much pure alcohol should be added to 7 L of 10% mixture?
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Question 333567: A chemist needs 5 liters of a 70% alcohol solution. If she mixes a 90% alcohol solution and a 40% alcohol solution, how much of the 40% solution should she use?
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Question 333851: a chem lab keeps 2 acids solutions on hand. one is 20% acid and the other is 35% acid. How much 20% and how much 35% acid solution should be used to prepare 25 liters of a 26% acid solution?
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Question 333939: Janice can mow the lawn in 2 hours. her friend can mow the same lawn in 2 hours. How long would it take them to mow the lawn if they had two lawn mowers and worked for the same length of time?
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Question 334016: 12 oz of mixed nuts was made by combining 4 oz of walnuts which cost $4/oz with 8 oz of peanuts which cost $10/oz. Find the cost per oz of the mixture.
The answer is $8/oz (I looked at the answer sheet! Shhh!), but I need to know how to solve it! And i have to show all of my work!
Help? Thank you so MUCH!!!

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Question 334078: A 100-kilogram salt solution originally 4% by weight. Salt in water is boiled to reduce water content until the concentration is 5% by weight salt. How much water is evaporated?
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Question 334124: How much water should be added to 500 l of a 14% syrup solution to get a 10% syrup solution?
.14x + X + .10x = 500
1.24x = 500
x=403.22

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Question 334199: how many ounces of pure water should be added to 20 ounces of a 40% solution of acid to obtain a 30% solution of muriatic acid?
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Question 334336: How much pure hydrocloric acid must be added to 40 milliliters of a 50% solution to obtain a 75% acid solution?
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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