Questions on Word Problems: Mixtures answered by real tutors!

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Question 950416:
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Question 950462: Fred needs 45 ml of 8% sucrose solution to do his science experiment. He needs to mix a 5% sucrose solution with some 15% sucrose solution to get the 8% solution he wants. How much of each should Fred use? (Include units with your numerical answers.) i need help with this
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Question 950519: Suppose a total of $5000 is borrowed from two different loans. One loan charges 10% simple interest, and the other charges 8% simple interest. How much was borrowed at each rate if $424 in interest is charged at the end of 1 year?
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Question 950649: if the phosphoric acid is 85 percent pure then to make 3 percent how much should be added to 10 ltr water
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Question 950723: suzy pays $9.50 for a 5 pound bag of dog food. the same dog food comes in a 20 pound bag for $42. which bag is a better buy?
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Question 950937: Last year, Goran invested his money in two purchases. He purchased a certificate of deposit for $1000 that paid 2% interest per year and purchased $3000 in corporate bonds paying 7%interest per year.
Answer the questions below. Do not do any rounding.
(a) What was the total interest earned at the end of 1 year?
$ __________________
(b) What was the percent interest for his total investment?
% _________________

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Question 950989: The beaker of 300ml contains a 2 percent saltwater solution. How much water must be boiled a way to increase the concentration of the salt solution from 2% to 3%?
Where on the beaker with the new water level B in milliliters?

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Question 951263: By weight, one fertilizer is 10% potassium, 40% nitrogen, and 50% phosphorus. A second fertilizer has percents of 10, 30, 60, respectively, and a third has percents of 0, 20, 80, respectively. How much of each must be mixed to get 200 pounds with 8, 31, 61 percent?
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Question 951319: how many liters of a 12% salt solution must be mixed with 19 liters of a 30% salt solution to obtain a 15%salt solution

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Question 951413: rosa combines 2 gallons of 2% milk and 6 gallons of 4% milk. How many gallons of 6% milk must she add to obtain a 5% milk mixture?
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Question 951382: Please help!
At the local grocery store, apples are $1.20 per pound and oranges are $1.80 per pound. If the grocer wants to offer a 1.4-pound bag of mixed fruit for $1.62 per pound, how many pounds of apples must he use?

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Question 951363: A chemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a 30% acid solution. The table shows the amount of each solution used.
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Question 951383: Please help !
In Peter's piggy bank, there are 6 times as many dimes as quarters and 8 more nickels than quarters. If Peter has $9.4 in his bank, how many quarters does he have?

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Question 951455: soy bean meal is 14% protein; corn meal is 7% of protein. How many pounds of each should be mixed together in order to make 280 pound mixture that is 13% protein?
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Question 951529: The sum of 3 numbers is 12 and the sum of their squares is 56.Find the numbers

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Question 951522: The spinner on a wheel of fortune can land with an equal chance on any one of ten regions. Three regions are red, four are blue, two are yellow and one is green. A player wins $4 if the spinner stops on red and $2 if it stops on green. The payer loses $2 if it stop on blue and loses $3 of it stop on yellow. What is the expected value of the game? Please help. I'm confused.
Click here to see answer by Theo(13342) About Me 

Question 951661: A researcher has two solutions labeled a and b:
Each has a salt content as follows
Solution a has a 30% salt content
Solution b has a 80% salt content
He wants to obtain 90oz of mixture that is 70% salt. How many oz of each solution should he use.
Solution a____ oz
Solution b____oz

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Question 951647: A chemistry student was asked to make 100 L of 48% alcohol solution by volume by mixing 40% alcohol solution by volume and 60% alcohol solution by volume. How many litres of each must the student use?
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Question 951752: A solution has an alcohol/water ratio of 2 to 3. What is the percentage concentration of alcohol?
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Question 951838: Hello! I've tried this problem a few ways, and cannot seem to arrive at the answer (the answer I already know b/c of the answers listed in the back of the book). Can you please help me with the how/why? (The answers say $13,500 for bonds and $22,500 for stocks).
"Suppose you receive an unexpected inheritance of $36,000. You have decided to invest the money by placing some of the money in stocks and some in bonds. To diversify, you decided that five times the amount invested in bonds should equal three times the amount invested in stocks. How much should be invested in stocks? How much should be invested in bonds?"
I know you have to solve this using a system of equations. I've tried using substitution and process of elimination method to solve this system:
b + s = 36,000
5b + 3s = 36,000 (I have a feeling the 36,000 is the wrong number)
Can someone please help me figure this out? Thanks a million!

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 951838: Hello! I've tried this problem a few ways, and cannot seem to arrive at the answer (the answer I already know b/c of the answers listed in the back of the book). Can you please help me with the how/why? (The answers say $13,500 for bonds and $22,500 for stocks).
"Suppose you receive an unexpected inheritance of $36,000. You have decided to invest the money by placing some of the money in stocks and some in bonds. To diversify, you decided that five times the amount invested in bonds should equal three times the amount invested in stocks. How much should be invested in stocks? How much should be invested in bonds?"
I know you have to solve this using a system of equations. I've tried using substitution and process of elimination method to solve this system:
b + s = 36,000
5b + 3s = 36,000 (I have a feeling the 36,000 is the wrong number)
Can someone please help me figure this out? Thanks a million!

Click here to see answer by MathTherapy(10552) About Me 

Question 951867: how many grams of a pure silver and how many grams of an alloy that is 65% silver should be melted together to produce 56 grams of an alloy that is 80% silver?
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Question 951994: In mixing a weed-killing chemical, a 20% solution of the chemical is mixed with a 75% solution to get 55L of a 55% solution. How much of each solution is needed?
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Question 952085: if you had 2700 grams of flour how many loaves could you make?
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Question 952134: A chemist has 30 ounces of a solution that is 40% alcohol. How many ounces of a second solution containing 75% alcohol must be added to it to form a solution that is 60% alcohol? Please help, I could not figure out how to set up the table to solve! Thanks!!!!





















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Question 952253: Suppose 11 quarts of pure antifreeze is mixed with 5 quarts of a solution that is 16 antifreeze.
Answer the questions below. Do not do any rounding.
(a) How many quarts of antifreeze are in the resulting mixture?
____________quarts
(b) What percentage of the resulting mixture is antifreeze?
____________%

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Question 952093: A solution of iodine and alcohol and alcohol contains 3 ounces of iodine and 21 ounces of alcohol. My question is how much be added to produce a solution that is 25% iodine?
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Question 952385: venus and serena measured a tennis court and found that it was 42 feet longer than it was wide and had a perimeter of 228 feet. what were the length and the width of the tennis court.
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Question 952496: Joe has a lot of juice. He has 10 liters of 80% apple juice. However, he wants to have less sugar so he adds water to his juice. How many liters of water should he add to make it 55% apple juice.
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Question 952509: Cranberries and almonds are mixed to make a 100 pound trail mix. If the cranberries cost $1.90 per pound and almonds cost $1.20 per pound, how many pounds of almonds are needed to make the mix cost $1.48 per pound?
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Question 952517: A chemist has two solutions of H2SO4. One has a 40% concentration and the other has a 25% concentration. How many liters of each solution must be mixed to obtain 125 liters of 31% solution?
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Question 952552: 7 quarts of pure antifreeze is mixed with 9 quarts of a solution that is 12% antifreeze. How many quarts are in the antifreeze solution are in the mixture? What percentage of the final mixture is antifreeze?
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Question 952575: Using the 5 step process solve showing the work for: A dealer has some hard candy worth 45 cents per pound and some worth 70 cents per pound. He wishes to make a mixture of 120 pounds that will be worth 55 cents per pound. How many pounds of each kind should he use?
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Question 952633: A radiator contains 14 quarts of fluid, 35% of which is antifreeze. How much fluid should be drained and replaced with pure antifreeze so that the new mixture is 40% antifreeze?
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Question 952633: A radiator contains 14 quarts of fluid, 35% of which is antifreeze. How much fluid should be drained and replaced with pure antifreeze so that the new mixture is 40% antifreeze?
Click here to see answer by josmiceli(19441) About Me 

Question 952611: A radiator contains 12 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure antifreeze so that the new mixture is 45% antifreeze? (Round your answer to two decimal places.)
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Question 952608: Can you please help me with this word problem: A train leaves New York for Boston, 200 miles away, at 5:00 P.M. and averages 40 mph. Another train leaves Boston for New York on an adjacent set of tracks at 3:00 P.M. and averages 45 mph. At what time will the trains meet? (Round to the nearest minute.)
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Question 952773: How many cups of a 10% acid solution and a 25% solution need to be mixed to make 6 cups of a 15% solution?
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Question 952782: How much is 25% of 10.2 liters of lemonade?
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Question 952820: What is the cost of 5 kg of peanuts at €3.00 per 500 g?

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Question 953049: a certain solution is to be prepared by combining chemicals X Y and Z in the ratio 18 : 3 : 2. how many litres of the solution can be prepared by using 36 litres of X?
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Question 953072: a rope is cut into three pieces in the ratio 1:3:5. given that the length of the longest side is 35m. a) calculate the length of the original rope
b) the length of the shortest side

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Question 953263: If u are selling bags of candy would you want to sell the candy in ounces or pounds explain
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Question 953265: How many pounds of nuts selling for $6 per lb and raisins selling for $3 per lb should a person combine to obtain 90lb of trail mix selling for $4 per lb?
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Question 953265: How many pounds of nuts selling for $6 per lb and raisins selling for $3 per lb should a person combine to obtain 90lb of trail mix selling for $4 per lb?
Click here to see answer by josgarithmetic(39617) About Me 

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