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Question 163757: Diaphantos, a famous mathematician spent 1/6 of his life as child, 1/12 as adolescent, 1/7 as bachelor. Five years after he was maried , he had son who died before 4 years before his father at half his father's final age. How long did Diaphantos live?
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Question 163788: A metallurgit needs to make 3 oz of an alloy containing 76%platinum. She isgoing to melt and combine one metal that is 90% platinum and one that is 70% platinum. How much of each should she use?
Click here to see answer by jojo14344(1512)

Question 163917: A tank contains 50 gallons of a 40% solution of antifreeze. How much solution needs to be drained out and replaced with pure antifreeze to obtain a 50% solution.
I really don't know to do this. This is what I think.
100%=x 50 gallons=x 40% solution=X 50% solution=x
Let x= amount of pure antifreeze
x+0.4 (100)= .05(100+x)
x+4=50+0.5
x+4=.50(100)+0.4
I'm lost after this.

Click here to see answer by ankor@dixie-net.com(15661)

Question 164110: How many kilograms of water must be evapotated from 10 kg of an 8% salt solution to produce a 25% salt solution?
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Question 164109: How many kilograms of water must be added to 10 kg of a 75% antifreeze solution in order to produce a 50% solution?
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Question 164102: A grocer has 2 kinds of nuts, one that costs $5 per kilogram and another that costs $5.40 per kilogram. How many kilograms of each type o fnut should be mixed in order to have 40 kg of a mixture worth $5.25 per kilogram?
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Question 164101: A grocer has 2 kinds of nuts, one that costs $5 per kilogram and another that costs $5.40 per kilogram. How many kilograms of each type o fnut should be mixed in order to have 40 kg of a mixture worth $5.25 per kilogram?
Click here to see answer by checkley77(12569)

Question 164107: How many kilograms of pure alcohol must be added to 40 kg of a 70% alcohol solution to produce an 85% alcohol solution?
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Question 164158: The sum of two consecutive odd integers is 56. Idenify Both of the numbers?
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Question 164161: Anita invested a certain amount of money into a savings account, and invested twice that amount into a mutal fund. If after one year of time the savings account earned 5% interest and the mutual fund earned 8% interest, and total earned from the two investments in that year was $105, how much did Anita initially invest into both?
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Question 164159: The perimeter of a rectangular basketball court blocked off by students on a playground is 300 feet. If the length of the court is two feet more than triple the width, find the length and the width of the blacked off court.
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Question 164157: Write the perimeter formula of a rectangle, and then substitute the following conditions into the formula: The perimeter of a rectangluar garden is 100 feet, and the lengh of the garden in 12 feet more than the width. use x to represent the width.
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Question 164156: Write an expression for the following (use x for the unknown number). 2 more than 3 times an unknown number is equal to one half of the difference between the unknown number and ten.
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Question 164154: the volume of a rectangular box is 20 cubic inches. If the top is 2inches by 2.5 inches, what is the height?
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Question 164167: A=1/2h(a+b) solve for b
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Question 164167: A=1/2h(a+b) solve for b
Click here to see answer by ankor@dixie-net.com(15661)

Question 164155: Jeb has 15 coins. They are all quarters and dimes. He has a total of $2.10. How many dimes does he have?
Click here to see answer by Alan3354(30993)

Question 164106: How many kilograms of pure alcohol must be added to 40 kg of a 70% alcohol solution to produce an 85% alcohol solution?
Click here to see answer by alicealc(281)

Question 164163: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^2+8x+12, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
Click here to see answer by aka042(26)

Question 164105: A chemist has 60 g of a solution that is 70% acid. How much water should be added to make a solution that is 40% acid?
Click here to see answer by ptaylor(2048)

Question 164100: An owner of a gourmet food store has two varieties of herbal teas, one that costs $4 per kilogram and another that costs $5 per kilogram. How many kilograms of each type are needed to make 20 kg of a blend worth $4.60 per kilogram?
Click here to see answer by ptaylor(2048)

Question 164348: Please help me solve this problem. I do not understanding the problem at all.
A forester mixes gasoline and oil to make 2 gallons of mixture for his two-cycle chain-saw engine. This mixture is 32 parts gasoline and 1 part two-cycle oil. How much gasoline must be added to bring the mixture to 40 parts gasoline and 1 part oil?
Click here to see answer by ankor@dixie-net.com(15661)

Question 164341: A SIX LITER MIXTURE OF ALCOHOL AND WATER IS 75% ALCOHOL.HOW MUCH ALCOHOL MUST BE ADDED TO THE EXISTING MIXTURE TO PRODUCE A MIXTURE THAT IS 80% ALCOHOL?

Click here to see answer by checkley77(12569)

Question 164392: A 12-quart cooling system is checked and found to be filled with a solution that is 40% antifreeze. The desired strength of the solution is 60% antifreeze. How many quarts of solution need to be drained and replaced with pure antifreeze to reach the desired strength?
Click here to see answer by ptaylor(2048)

Question 164388: Mix a solution that is 30% alcohol with a solution that is 80% alcohol to make 800mL of a solution that is 60% alcohol. How much of each solution should you use?
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Question 164274: Melissa is watching a group of birds in a feeder. A noise startles the birds and 1/4 of the birds fly away. Of the birds remaining 2 fly to a nearby feeder. 3 fly to a nearby tree. 4 remain at the feeder. How many birds were at the feeder before the noise startled them?
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Question 164325: 90.) solve each problem
Barn Painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fractions of the barn that they complete in one day by working together. Evaluate the expression for x = 5.
Click here to see answer by ankor@dixie-net.com(15661)

Question 164480: Fifty gallons of a 90% alcohol solution is obtained by mixing a 100% solution with a 75% solution. How many gallons of each solution must be used to obtain the desired mixture?
Click here to see answer by checkley77(12569)

Question 164484: A Chemist has a solution that is 20 % acid and 80 % water. He adds 5 liters of water to make a solution that is 15 % acid. What is the volume of the original solution.

answer:The original
solution had 15 liters of water

need a break down of how my text book got: the original solution had 15 liters of water
Click here to see answer by nerdybill(6963)

Question 164886: an oil tanker can be filled in 10 hours from one pipe. It can be filled by another pipe in 8 hours. how long would it take to fill the tanker using both pipes.

answer : it will take 4 4/9 hours to fill the tanker with both pipes
need a break down of how my book got 4 4/9 as an answer
Click here to see answer by edjones(7569)

Question 164965: Weighted Averages.

A car radiator has a capacity of 14 quarts and is filled with a 20% antifreeze solution. How much must be drained off and replaced with pure antifreeze to obtain a 40% antifreeze solution?
Click here to see answer by nerdybill(6963)

Question 164971: Please help me solve this problem.
An alloy of metals is 25% copper. ANother alloy is 50% copper. how much of each alloy should be used to make 1000 grams of an alloy that is 45% copper?
Click here to see answer by midwood_trail(310)

Question 165409: How many pounds of lima beans that cost $.90/lb must be mixed with 16 pounds of corn that costs $.50/lb to make a mixture of vegetables that costs $.65/lb?
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Question 165423: a pharmacist wishes to make 1.8 liters of a 10% solution of boric acid by mixing 7.5% and 12% solutions. How much a each type should be used?
Click here to see answer by stanbon(57407)

Question 165460: How much 7% color paint would I need to add to white paint to get a 3% color?
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Question 165564: almonds cost $1.60 per pound. Walnuts cost $1.10 per pound. how many pounds of each shuold be mixed to produce a 40 pound mixture at $1.25 per pound?

x=12 , there are 12 pounds of almonds and 28 pounds of walnuts

need a break down of how x=12, and that there are 12 pounds of almonds and 28 pounds of walnuts.
Click here to see answer by josmiceli(9697)

Question 165565: City bank charges $2.60 a month plus 6 cents per check. How many checks may be written in a month for a total of $5?
x=40, forty checks can be written

need a break down for why x=40
Click here to see answer by jojo14344(1512)

Question 165563: almonds cost $1.60 per pound. Walnuts cost $1.10 per pound. how many pounds of each shuold be mixed to produce a 40 pound mixture at $1.25 per pound?

x=12 , there are 12 pounds of almonds and 28 pounds of walnuts

need a break down of how x=12, and that there are 12 pounds of almonds and 28 pounds of walnuts.
Click here to see answer by ptaylor(2048)

Question 165650: Please help me solve this equation:

A merchant wishes to mix two grades of coffee, one of which sells for $0.80 per pound and one of which sells for $1.20 per pound. He wants to sell the mixture $1.10 per pound. If he has 25 pounds of the $0.80 coffee, how much of the $1.20 per pound coffee must he add so that the value of the final mixture is equal to the total value of the other two?
Click here to see answer by stanbon(57407)

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