Questions on Word Problems: Mixtures answered by real tutors!

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Question 1156046: Birdseed costs ​$0.69 a pound and sunflower seeds cost ​$0.99 a pound. Angela​ Leinenbachs' pet store wishes to make a 40​-pound mixture of birdseed and sunflower seeds that sells for ​$0.92 per a pound. How many pounds of each type of seed should she​ use?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1156048: Sarah Meeham blends coffee for​ Tasti-Delight. She needs to prepare 150 pounds of blended coffee beans selling for ​$5.00 per pound. She plans to do this by blending together a​ high-quality bean costing ​$6.25 per pound and a cheaper bean at ​$2.50 per pound. To the nearest​ pound, find how much​ high-quality coffee bean and how much cheaper coffee bean she should blend.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1156045: Aleksandra Tomich invested $ 6,162, part at 8 % simple interest and part at 4 % simple interest for a period of 1 year. How much did she invest at each rate if each account earned the same​ interest?
Click here to see answer by Boreal(15235) About Me 

Question 1156044: You invested $ 4000 between two accounts paying 2 % and 7 % annual​ interest, respectively. If the total interest earned for the year was $ 230, how much was invested at each​ rate?
Click here to see answer by greenestamps(13200) About Me 

Question 1156158: solve f´(2) if f(x) = x^3 - 6x^2 + 9x + 3
Determine the largest and smallest value of the function in the interval 0 ≤ x ≤ 5 with
derivatives.

Click here to see answer by MathLover1(20849) About Me 

Question 1156272: Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $55. For one performance, 15 advance tickets and 40 same-day tickets were sold. The total amount paid for the tickets was $1325. What was the price of each kind of ticket?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1156270: A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is $17. For 9 pounds of jelly beans and 7 pounds of trail mix, the total cost is $37. Find the cost for each pound of jelly beans and each pound of trail mix.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1156276: A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 2 pounds of jelly beans, the total cost is $12. For 3 pounds of trail mix and 8 pounds of jelly beans, the total cost is $31. Find the cost for each pound of trail mix and each pound of jelly beans.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1156281: Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 - x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
mL
How much of the 15% alcohol solution should Bruce use?
mL

Click here to see answer by josgarithmetic(39617) About Me 
Question 1156281: Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 - x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
mL
How much of the 15% alcohol solution should Bruce use?
mL

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

Question 1156306: $14,700 is invested, part at 3% and the rest at 2%. If the interest earned from the amount invested at 3% exceeds the interest earned from the amount invested at 2% by $359.00, how much is invested at each rate? (Round to two decimal places if necessary.)
Define variables x and y and set up a system of two linear equations that represents the information given in the problem.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1156543: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 30% salt and Solution B is 55% salt. She wants to obtain 170 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?

Click here to see answer by josgarithmetic(39617) About Me 

Question 1156558: How many gallons of 20% alcohol solution and 50% alcohol solution must be mixed to get 9 gallons of 30% alcohol solution?

Click here to see answer by josgarithmetic(39617) About Me 
Question 1156558: How many gallons of 20% alcohol solution and 50% alcohol solution must be mixed to get 9 gallons of 30% alcohol solution?

Click here to see answer by ikleyn(52781) About Me 
Question 1156558: How many gallons of 20% alcohol solution and 50% alcohol solution must be mixed to get 9 gallons of 30% alcohol solution?

Click here to see answer by greenestamps(13200) About Me 
Question 1156558: How many gallons of 20% alcohol solution and 50% alcohol solution must be mixed to get 9 gallons of 30% alcohol solution?

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

Question 1156586: Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original price of $ 11.50 ​each, but later decreased the price of each by ​$3.00. If they sold all 88 pieces and took in $ 823.00​, find how many they sold at the original price and how many they sold at the reduced price.
Click here to see answer by josmiceli(19441) About Me 

Question 1156588: How many ounces of a 20 % alcohol solution must be mixed with 13 ounces of a 25 % alcohol solution to make a 21 % alcohol​ solution?
Click here to see answer by josmiceli(19441) About Me 

Question 1156587: Doreen Schmidt is a chemist. She needs to prepare 28 ounces of a 10​% hydrochloric acid solution. Find the amount of 14​% solution and the amount of 7​% solution she should mix to get this solution.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1156630: Hello! I have a word problem that I am having trouble with on my algebra homework If you would help that would be awesome!
Here it is:
The speed of the wind is 20 miles per hour. If it takes a plane 7 hours to fly 2368 miles round trip, determine the plane's speed in still air.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1156789: how much of a 15 vinegar solution should be added to a 35% vinegar soultion to make 12 liters of a 20% vinegar soultion?
Click here to see answer by josgarithmetic(39617) About Me 

Question 960751: The radiator of a truck contains 12 gallons of water. We draw off 3 gallons and replace it by alcohol, then draw off 3 gallons of the mixture and replace it by alcohol,etc., until 8 drawings and replacement have been made. How much alcohol is in the final mixture?
Click here to see answer by BustaKnuckle(1) About Me 
Question 960751: The radiator of a truck contains 12 gallons of water. We draw off 3 gallons and replace it by alcohol, then draw off 3 gallons of the mixture and replace it by alcohol,etc., until 8 drawings and replacement have been made. How much alcohol is in the final mixture?
Click here to see answer by greenestamps(13200) About Me 
Question 960751: The radiator of a truck contains 12 gallons of water. We draw off 3 gallons and replace it by alcohol, then draw off 3 gallons of the mixture and replace it by alcohol,etc., until 8 drawings and replacement have been made. How much alcohol is in the final mixture?
Click here to see answer by ikleyn(52781) About Me 

Question 1156869: A metal recycling plant has some scrap metal that is 53% copper. It also has some other scrap metal that is 33% copper. The scrap metal is melted together and produces 1420 g of metal that is 47% copper. How many grams of the 33% copper metal was mixed with the 53% copper metal?
[A] 469 g [B] 426 g [C] 994 g [D] 1420 g

Click here to see answer by josgarithmetic(39617) About Me 
Question 1156869: A metal recycling plant has some scrap metal that is 53% copper. It also has some other scrap metal that is 33% copper. The scrap metal is melted together and produces 1420 g of metal that is 47% copper. How many grams of the 33% copper metal was mixed with the 53% copper metal?
[A] 469 g [B] 426 g [C] 994 g [D] 1420 g

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

Question 1156867: Mr. Rosoff works in the lab at a pharmaceutical company. He needs to make 44 liters of a 32% acid solution to test a new product. His supplier only ships a 48% and a 26% solution. Mr. Rosoff decides to make the 32% solution by mixing the 48% solution with the 26% solution. How much of the 48% solution will Mr. Rosoff need to use?
[A] 12 L [B] 44 L [C] 21 L [D] 32 L

Click here to see answer by josgarithmetic(39617) About Me 

Question 1156868: Anika is making a nut mixture to sell at the local farmers’ market. She mixes 3 pounds of peanuts with a nut mixture that is 40% peanuts. The resulting mixture is 58% peanuts. How many pounds of nut mixture does Anika make?
[A] 12 lb [B] 7 lb [C] 3 lb [D] 10 lb

Click here to see answer by josgarithmetic(39617) About Me 

Question 1156880: Birdseed costs ​$0.62 a pound and sunflower seeds cost ​$0.92 a pound. Angela​ Leinenbachs' pet store wishes to make a 50​-pound mixture of birdseed and sunflower seeds that sells for ​$0.85 per a pound. How many pounds of each type of seed should she​ use?
Click here to see answer by ikleyn(52781) About Me 
Question 1156880: Birdseed costs ​$0.62 a pound and sunflower seeds cost ​$0.92 a pound. Angela​ Leinenbachs' pet store wishes to make a 50​-pound mixture of birdseed and sunflower seeds that sells for ​$0.85 per a pound. How many pounds of each type of seed should she​ use?
Click here to see answer by josmiceli(19441) About Me 

Question 1156882: There were 490 tickets purchased for a major league baseball game. The lower box  tickets cost ​$12.50 and the upper reserved tickets cost ​$8.00. The total amount of money spent was ​$4343.00. How many of each kind of ticket were​ purchased?
Click here to see answer by ikleyn(52781) About Me 

Question 1156884: Sarah Meeham blends coffee for​ Tasti-Delight. She needs to prepare 120 pounds of blended coffee beans selling for ​$4.46 per pound. She plans to do this by blending together a​ high-quality bean costing ​$5.50 per pound and a cheaper bean at ​$3.00 per pound. To the nearest​ pound, find how much​ high-quality coffee bean and how much cheaper coffee bean she should blend.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1156885: Birdseed costs ​$0.56 a pound and sunflower seeds cost ​$0.86 a pound. Angela​ Leinenbachs' pet store wishes to make a 50​-pound mixture of birdseed and sunflower seeds that sells for ​$0.72 per a pound. How many pounds of each type of seed should she​ use?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1156885: Birdseed costs ​$0.56 a pound and sunflower seeds cost ​$0.86 a pound. Angela​ Leinenbachs' pet store wishes to make a 50​-pound mixture of birdseed and sunflower seeds that sells for ​$0.72 per a pound. How many pounds of each type of seed should she​ use?
Click here to see answer by ikleyn(52781) About Me 

Question 1156892: During a science experiment, Claire created an 18% alcohol solution by mixing 4 fluid ounces of a 28% alcohol solution with a certain amount of a 14% alcohol solution. How many fluid ounces of the 18% alcohol solution did she create?
[A] 12 fl oz [B] 14 fl oz [C] 10 fl oz [D] 18 fl oz

Click here to see answer by Boreal(15235) About Me 

Question 1156894: Mr. Costa is filling planter boxes with soil. He has soil that is 23% sand, and he buys 6 pounds of a commercial potting soil that is 39% sand. He mixes some of his soil with the 6 pounds of commercial potting soil. The resulting soil mixture is 35% sand. How many pounds of his soil did Mr. Costa use?
[A] 4 lb [B] 2 lb [C] 6 lb [D] 8 lb

Click here to see answer by josgarithmetic(39617) About Me 
Question 1156894: Mr. Costa is filling planter boxes with soil. He has soil that is 23% sand, and he buys 6 pounds of a commercial potting soil that is 39% sand. He mixes some of his soil with the 6 pounds of commercial potting soil. The resulting soil mixture is 35% sand. How many pounds of his soil did Mr. Costa use?
[A] 4 lb [B] 2 lb [C] 6 lb [D] 8 lb

Click here to see answer by ikleyn(52781) About Me 
Question 1156894: Mr. Costa is filling planter boxes with soil. He has soil that is 23% sand, and he buys 6 pounds of a commercial potting soil that is 39% sand. He mixes some of his soil with the 6 pounds of commercial potting soil. The resulting soil mixture is 35% sand. How many pounds of his soil did Mr. Costa use?
[A] 4 lb [B] 2 lb [C] 6 lb [D] 8 lb

Click here to see answer by greenestamps(13200) About Me 

Question 1157076: How much pure gold (24K) must be mixed with 70% gold to get 30 grams (g) of 80% gold? Express in decimal form rounded to one decimal place.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1157076: How much pure gold (24K) must be mixed with 70% gold to get 30 grams (g) of 80% gold? Express in decimal form rounded to one decimal place.
Click here to see answer by MathTherapy(10552) About Me 

Question 1157107: How many gallons of cottonseed oil must be added to 45 gallons of a solution of
olive oil which is 90% olive oil in order to make the resulting solution 80% olive oil?

Click here to see answer by josgarithmetic(39617) About Me 

Question 1157108: Tea worth $4.10 per pound is to be mixed with tea worth $4.90 per pound.
How many pounds of each should be used to obtain 25lb of a blend worth
$4.40 per pound?

Click here to see answer by josgarithmetic(39617) About Me 

Question 1157175: How many liters each of a 40​% antifreeze solution and a 80​% antifreeze solution must be mixed to make 8 liters of a 50​% antifreeze​ solution?
Click here to see answer by VFBundy(438) About Me 

Question 1157206: A chemist has three different acid solutions. The first acid solution contains 20% acid, the second contains 40% and the third contains 60%. He wants to use all three solutions to obtain a mixture of 84 liters containing 50% acid, using 3 times as much of the 60% solution as the 40% solution. How many liters of each solution should be used?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1157201: How much of Brand A fruit punch (40% fruit juice) must be mixed with 2 L of
grape juice to create a mixture containing 64% fruit juice?

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