Questions on Word Problems: Mixtures answered by real tutors!

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Question 200259: I have the hardest time setting up word problems! I can solve them without setting them up but I must show my work.
The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 4cm on a side is 192g find the weight of the liquid in a cubical container 3cm on a side.

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Question 200342: Tom had $7500 to invest for 1 year. He invested equal parts (let each be x) at 6% and 5.5% with the remainder at 4%. If he earned $370. how much did he invest at each rate? Set up and solve mixture equation.
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Question 200387: jack bought 3 slices of cheese pizza and 4 slice of mushroom pizza for a total cost of 12.50. grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a totla cost of $8.50. what is the cost of one slice of mushroom pizza?
can you explain to me how to start the equation and then how to solve it

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Question 200566: How would you solve a mixture problem, for example. John wants to make a 100 ml of 5% alcohol solution mixing a quantity of a 2% alcohol solution with a 7% alcohol solution. What are the quantities of each of the two solutions (2% and 7%) he has to use?
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Question 200622: Dried bannanas sell for .80 per quarter pound and dried apricots sell for 1.00 per quarter pound. How many pounds of apricots should be mixed iwht 6 lbs of bannanas to create a mixture worth .95 per lb?
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Question 200641: Find x if shaded are is 90. By developing and solving by factoring quadratic equation. The rectangle width is 2x-2, length is 3x, and there are 3 holes cut out with the width of x and length of x-1.
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Question 200681: Please I need help with this. Find x if shaded area is 90.the (whole rectangle is shaded except for the holes) By developing and solving by factoring quadratic equation. The rectangle width is 2x-2, length is 3x, and there are 3 holes cut out with the width of x and length of x-1. I know l*w=A but how do you take out the hole squares?
Click here to see answer by nerdybill(7384) About Me 

Question 200791: IF CARLA EATS 182 GRAINS OF RICE EVERT DAY, BUT EVERY THIRD DAY SHE EATS TWICE AS MANY. HOW MANY WILL SHE EAT IN 18 DAYS?
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Question 200644: Find x if shaded area of a rectangle is 90(the whole rectangle is shaded except for the 3 holes). By developing and solving by factoring quadratic equation. The rectangle width is 2x-2, length is 3x, and there are 3 holes cut out with the width of x and length of x-1.
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Question 201312: Sam found a number of nickels, dimes, and quarters in his room. He found 6 more dimes than nickels but 3 times as many quarters as dimes. The total value of the coins was $11.40. How many coins of each type did Sam find?
6y=11.40
y=1.90
3z=11.40
z=3.80
3.80 + 1.90=5.70
11.40-5.70=5.70

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Question 201312: Sam found a number of nickels, dimes, and quarters in his room. He found 6 more dimes than nickels but 3 times as many quarters as dimes. The total value of the coins was $11.40. How many coins of each type did Sam find?
6y=11.40
y=1.90
3z=11.40
z=3.80
3.80 + 1.90=5.70
11.40-5.70=5.70

Click here to see answer by josmiceli(19441) About Me 

Question 201441: A goldsmith combined pure gold that cost $400 per ounce with an alloy of gold that costs $150 per ounce. How many ounces of each were used to make 50 oz of gold alloy that that costs $250 per ounce?
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Question 201462: A druggist mixed 100 cc of a 15% alcohol solution with 50 cc of pure alcohol. Find the percent concentration of the resulting mixture. Round to the nearest tenth of a percent.
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Question 201458: How many quarts of water must be added to 5 qt of an 80% antifreeze solution to make a 50% antifreeze solution?
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Question 201459: How much water must be evaporated from 8 gal of an 8% salt solution in order to obtain a 12% salt solution?
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Question 189730: Bob wants to have concrete driveway in front of his house. The driveway will measure 58 2/3 feet long and 18 1/2 feet wide; and will be 3/4 foot thick. How many cubic yards of cement will be needed for the driveway? Round your answer to the nearest cubic yard. [1 cubic yd = 27 cubic feet]
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Question 201532: How many milligrams of pure water must be added to 6 mg of a 40% solution to obtain a 25% solution?
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Question 201532: How many milligrams of pure water must be added to 6 mg of a 40% solution to obtain a 25% solution?
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Question 201949: I can't figure out the formula to use for this problem, I have the answer in the back of the book, but I don't understand how to get there. Can you please show me the step by step process on how to get there? Thank you
Erica

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Question 201950: I can't figure out the formula to use for this problem, I have the answer in the back of the book, but I don't understand how to get there. Can you please show me the step by step process on how to get there?
mixing candy:
lemon drops are to be mixed with jelly beans to make 100 lbs of mixture. How many pounds of each candy should be used?
lemon drops/ $1.90 lb. jelly beans/ $1.20 lb. mixture/ $1.48 lb
Thank you
Erica

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Question 201890: A mixture contains alcohol and water in the ratio 4:3. If 7 litres of water is added to the mixture, the ratio of alcohol and water becomes 3:4. Find the quantity of alcohol in the mixture ?
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Question 201972: Example 4: Mixing Cleaning Solutions.
King’s Service Station uses two kinds of cleaning solution containing acid and water. “Attack” is 2% acid and “Blast” is 6% acid. They want to mix the two to get 60 qt of a solution that is 5% acid. How many quarts of each should they use?
Thank you!!!

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Question 202006: The sum of two numbers is 22 when the larger number is subtracted from three times the smaller the difference is 6 what are the two numbers
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Question 202006: The sum of two numbers is 22 when the larger number is subtracted from three times the smaller the difference is 6 what are the two numbers
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Question 202003: The fussy Foods deli serves a simple fruit salad with strawberries and bannanas if strawberries cost $2.30 per lb and nanners cost $.30 per lb how many lbs of both should be used to make 5 lb blend that costs $1.70 per lb.

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Question 202003: The fussy Foods deli serves a simple fruit salad with strawberries and bannanas if strawberries cost $2.30 per lb and nanners cost $.30 per lb how many lbs of both should be used to make 5 lb blend that costs $1.70 per lb.

Click here to see answer by Alan3354(69443) About Me 

Question 202147: I need to see the complete work of problem I know the answer
A silversmith mixed 25g of a 70% silver alloy with 50g of a 15% silver alloy. What is the percent concentration of the resulting mixture?
I have set up .70(25) + .15(50) but I know I am missing part of the equation.
Thanks

Click here to see answer by Alan3354(69443) About Me 

Question 202248: a pharmacist wishes to mix solution that is 3% Minoxidil. She has on hand 70 ml of 2% solution and wishes to add some 5% solution to obtain the desired 3% solution. How much 5% solution should she add?
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Question 202296: Express the follwing in set-builder notation: M = {3,4,5,6,7}
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Question 202297: A drug company is considering manufacturing a new product that has two different flavors, orange and cherry. They surveyed 150 people. The results are as follows:
75 liked cherry flavor
94 liked orange flavor
22 liked both flavors.
Construct a Venn diagram and answer the following:
a) How many liked only orange flavor?
b) How many liked only cherry flavor?
c) How many liked either one or the other or both?
d) How many liked neither?

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Question 202298: In a survey of 75 resorts, it was reported that:
45 provided refrigerators in the guest rooms
37 provided laundry services
44 provided business centers
23 provided refrigerators in the guest rooms and laundry services
29 provided refrigerators in the guest rooms and business centers
21 provided laundry services and business centers
12 provided all three features
Construct a Venn diagram and use it to answer the following questions:
(a) How many of the resorts provided only refrigerators in the guest rooms?
(b) How many of the resorts provided exactly one of the features?
(c) How many of the resorts provided at least one of the features?
(d) How many of the resorts provided exactly two of the features?
(e) How many of the resorts provided none of the features?

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Question 202294: Write the following in roster form:
set N is the set of natural numbers between two and nime.

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Question 202126: The voltage V in an electric circuit is a funcion of time in milliseconds and is given by V(t)=400e^-t/10. What is the approximate voltage after 15 milliseconds? PLEASE HELP. thank-you.
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Question 202397: State whether set A and B are equal, equivalent, both, or neither.
A = {9, 8, 7} B = {8, 9, 10}

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Question 202396: Given U = {All letters of the alphabet}, A = {c, d, e, f}, and B = {e, f, g, h, k}. List the elements of set
(a) A U B
(b) A ∩ B
(c) A′ ∩ B′
(d) A′ U B′
(e) A U B′
(f) (A U B′) ∩ B
(g) (A U B) ∩ (A U B′)

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Question 202395: Without writing them down, what are the number of subsets of the set A = {a, b, c, d, e}? Of set B = {a, b, c, d, e, f, g, h, i}?
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Question 202388: Scott wants to make 15 L of a 68% acid solution by mixing together a 75% acid solution and a 60% acid solution. How much of each solution must be used?
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Question 202476: Joseph 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? To earn credit, you MUST construct an algebraic equation with a variable and solve using algebra steps.
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Question 202474: The sum of two consecutive even integers is 250. Identify BOTH of the numbers. To earn credit, you MUST construct an algebraic equation with a variable and solve using algebra steps.
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Question 202479: The sum of two consecutive even integers is 250. Identify BOTH of the numbers. To earn credit, you MUST construct an algebraic equation with a variable and solve using algebra steps
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Question 202295: State whether set A and B are equal, equivalent, both, or neither.
A={9,8,7} B={8,9,10}

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Question 202486: Please if someone can help me solve this problem! thank you!




Anthony invested a certain amount of money into a savings account, and invested 3 times that amount into a mutual fund. If after one year the savings account earned 5% interest and the mutual fund earned 11% interest, and the total interest earned from the two investments was $152, how much did Anthony initially invest in each? To earn credit, you MUST construct an algebraic equation with a variable and solve using algebra steps.

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Question 202478: Christina purchased a new car and paid $12,880 after a price reduction of 8% was applied to the original price. What was the original price of the vehicle before the discount was applied? To earn credit, you MUST construct an algebraic equation with a variable and solve using algebra steps.
Click here to see answer by Theo(13342) About Me 

Question 202678: Rachael hands in her 4th exam. The scores on her first three exams were 75, 95, and 97. What does she need to earn on the 4th exam to average at least a 90 on the four exams? Construct an inequality with the variable x representing her 4th exam score, then solve the inequality for x.
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Question 202652: Jake owns a health food store. He sells a cereal mixture that is 60 parts oatmeal, 25 parts bran, and 15 parts wheat germ. Each batch of cereal weights 80 kilograms. Jake’s problem is that customers are requesting more bran in the mix. They would like the batch he just prepared to have 30 parts bran out of the total 100 parts.
How many kilograms of the original mix of cereal should be removed and replaced with bran so that his customers will be satisfied?

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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