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Question 30035: A man tels another, "Get your checkboard and place one grain of wheat on the first square. Then place two on the next, then place four on the third square. Continue this until all 64 squares are covered with grains of wheat" As he had just harvested his wheat, the man did not consider this much, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would the man need to have put on the 24nd square? (show work)
b) How much total grains would the traveling salesman receive if the checkboard only had 24 squares?
Click here to see answer by Fermat(136)

Question 30192: Pure acid is to be added to a 10% acid solution to obtain 54L of a 20% acid solution. What amounts of each should be used?
Click here to see answer by longjonsilver(2297)

Question 30424: Dennis can eat a pie in 6 min. David can eat a pie in 12 min. Robert can eat a pie in 14.639145073927682623334797247841 min. If they share the same pie, how lomg will it take the three guys to scarf down the whole thing. (Hint: First figure out how many pies each guy can eat in an hour)
Click here to see answer by venugopalramana(3286)

Question 30391: Hello
I need help with a solution problem. I can not seem to put this thing together.

A pharmacist is to prepare 15 milliliters of special eye drops for a glaucoma patient. The eye-drop solution must have a 2% active ingredient, but the pharmacist only has 10% solution and 1% solution in stock. How much of each type of solution should be used to fill the prescription.

Help with this will be greatly appreciated, I am lost on this one.
Thanks
Terry
Click here to see answer by longjonsilver(2297)

Question 30587: The amount (by weight) of gold, silver and lead in three alloys of these metals are in ratios:
4:3:2 - Alloy 1
3:5:1 - Alloy 2
2:2:5 - Alloy 3
It is desired to make a fourth alloy containing equal amounts of gold, silver and lead. How many grams each alloy should be used for every 10 grams of the new alloy?
Click here to see answer by venugopalramana(3286)

Question 30723: Please help me with this problem. Caroline needs a 3% solution. How many liters of a 1% solution should she add to 2 liters of a 32% solution to get a 3% solution?
Click here to see answer by Paul(988)

Question 30727: How many gallons of 16% alcohol solution should be added to 30 gal of a 45% alcohol solution to make a 21% solution? Please help me set this up.
Click here to see answer by Paul(988)

Question 30725: How many gallons of pure alcohol solution should be added to 63 gal of 32% alcohol solution to make a 37% solution? Thank you.
Click here to see answer by checkley71(8403)

Question 30725: How many gallons of pure alcohol solution should be added to 63 gal of 32% alcohol solution to make a 37% solution? Thank you.
Click here to see answer by venugopalramana(3286)

Question 30788: Please help me with this. Marion wants to dilute 2 gal of a 28% soap solution to make a 8% solution. How much pure water should she add to make the 8% solution?
Click here to see answer by Fermat(136)

Question 30787: How many gallons of 51% alcohol solution should be added to some of a 57% alcohol solution to make a 438 gal of a 55% solution? Thank you.
Click here to see answer by checkley71(8403)

Question 30839: If a salesman earns 8 1/2% commission on all sales above $500,how much commission does he earn on all sales of $1490?
Click here to see answer by josmiceli(19441)

Question 30840: Express 10cm as a percent of 2km.
Click here to see answer by acerX(62)

Question 30878: The driver of a car with a leaking radiator found it necessary to add water twice on a trip. The radiator held 120 liters and was filled with 30% alcohol solution at the start. At the end of the trip, the radiator was again filled with water and the solution was tested and found out to be 25% alcohol. Find the total amount of water used.
Click here to see answer by Paul(988)

Question 30903: How many ounces of a 22% alcohol solution mixed with how many ounces of pure alcohol would form 60 ounces of a 35% solution?
Click here to see answer by Paul(988)

Question 30978: Coffee Company blends coffee type A worth $0.93 per pound with coffee type B worth $1.20 per pound to get 30 pounds of a coffee blen worth $1.02 per pound. How many pounds of each type of coffee does the company use?
Click here to see answer by Paul(988)

Question 30979: How many ounces of a 22% alcohol solution mixed with how many ounces of pure alcohol would form 60 ounces of a 35% solution?
Click here to see answer by venugopalramana(3286)

Question 31091: A farmer has bought 100 animals for $100. He has bought cows, pigs and chickens. If the cows are $10 and the pigs are $3 dollars and the chickens are 50 cents how many of each animal did the farmer buy?
Click here to see answer by Paul(988)

Question 28955: Maple Syrup worth $6 a gallon and corn syrup worth 80 cents a gallon are used to make a mixture worth $2.36 a gallon. How many gallons of each kind of syrup are needed to make 50 gallons of the mixture?
I have to find out how much of each is in the mixtured solution that costs $2.36 and then multiply those numbers by 50, right? I think what's confusing me most is the 2 variables.
Thank you!
Click here to see answer by checkley71(8403)

Question 31373: okay... the teacher wants to know why this problem does NOT have a solution...
How many gallons of a 10% and a 20% solution should be mixed to obtain a 30% solution?
Click here to see answer by Fermat(136)

Question 31374: How many ounces of a 22% alcohol solution mixed with how many ounces of pure alcohol would form 60 ounces of a 35% solution?
Click here to see answer by Paul(988)

Question 31391: tara made x/y dollars for babysitting.joe made x-y/y and lynn made 2/3 as much as tara.if they all pool their money.how much will they have?
Click here to see answer by josmiceli(19441)

Question 31566: A coffee merchant sells a customer 3 lb of Hawaiian Kona at $6.50 per pound. His scale is accurate to within +-0.03 lb. By how much could the customer have been overcharged or undercharged because of possible inaccuracy in the scale?
Thank you very much!
Click here to see answer by josmiceli(19441)

Question 29500: a vat contain 100L of a 40% acid solution. how much acid must be added to increase the acidity to 60% ?
Click here to see answer by checkley71(8403)

Question 32041: I would have tried to answer this question if I knew where to start.
Marvelous Marilyn wants to combine a 30% alcohol solution with a 50% alcohol solution to get 500 mg of an 80% alcohol solution. Please help her accomplish this task.
Please help!
Shakema
Click here to see answer by Fermat(136)

Question 32042: A customer has asked a caterer for 60LB of nuts, 60% of which are to be cashews. The caterer has available mixtures of 70% cashews and 45% cashews. How many pounds of each mixture should be used?
Click here to see answer by Earlsdon(6294)

Question 32058: 60 fluid ounces of a 15% muriatic acid solution is needed to kill algae in a pool. If the technician has a 5% solution and a pure solution on hand, how many ounces of each must be combined to create a 15% solution?
Click here to see answer by stanbon(75887)

Question 32051: At a "paint swap", Gayle found large supplies of Skylite Pink (12.5% red pigment)but only 3 gallons of MacIntosh Red (20% red). How many gallons of Skylite Pink should Gayle pick in order to mix Summer Rose (17% Red)?
Click here to see answer by Paul(988)

Question 32239: Cindy had $6.05 in quarters and nickels. How many of each coin does she have if there are 53 coins in all?
Click here to see answer by stanbon(75887)

Question 32243: A chemist has two solutions of boric acid, one 11 percent boric acid and the other 19 percent boric acid. How much of each must he use to obtain 25 liters of a solution that is 17 percent of boric acid?
Click here to see answer by stanbon(75887)

Question 32250: A total of 1096 tickets were sold for an important math lecture. Math club members paid $29.50 each and non-members paid $35.40
If a total of $37,642 was collected, how many members of the math club attended the lecture?
How many non-memebers attended?
Click here to see answer by Cintchr(481)

Question 32256: Pauline is 2 years younger than Shirley. Four years from now the sum of their ages will be 36. Find their present ages.
Click here to see answer by Cintchr(481)

Question 32252: Roberto saves only pennies and Masheeka saves only dimes. Together they saved 305 coins worth $11.60. How many coins has each saved?
Click here to see answer by Cintchr(481)

Question 32257: Mr. Rahami invested $15,000, a part at 8% and the rest at 11%. If his yearly income from these investments is $1335, how muchdid he invest at each rate ( assuming simple interest)?
Click here to see answer by ikdeep(226)

Question 32255: Two kilograms of Columbian coffee are mixed with 1 kilogram of Brazilian coffee to produce a mixture selling for $7.00 a kilogram. If 3 kilograms of Columbian coffee were mixed with 2 kilograms of Brazilian coffee, the mixture would sell for $6.90 a kilogram. What is the value of a kilogram of each type of cofee?
Click here to see answer by venugopalramana(3286)

Question 32251: Two kilograms of Columbian coffee are mixed with 1 kilogram of Brazilian coffee to produce a mixture selling for $7.00 a kilogram. If 3 kilograms of Columbian coffee were mixed with 2 kilograms of Brazilian coffee, the mixture would sell for $6.90 a kilogram. What is the value of a kilogram of each type of cofee?
Click here to see answer by venugopalramana(3286)

Question 32908: The half-life of Bismuth is 5 days. Then 75% of an original amount will cease to be radioactive in 10 days. I believe that this one is true. Am I right?
Click here to see answer by stanbon(75887)

Question 33148: The amount of tax is directly proportional to the cost of an item. If the tax on a $12,300 car is $738, find the tax on a $9,450 car.
Click here to see answer by sarah_adam(201)

Question 33147: i know the answer but can't seem to make out an equation! out of my teacher's own problem packet. it reads...
For a Kindergarten party, Mrs. Tully bought four more bags of jellybeans selling at 35 cents a bag than lemon drops selling at 45 cents a bag. She spent $3.00 for the candy. How many bags of jellybeans did she buy???
i know Mr.s Tully bought six bags of jelly beans and two bags of lemon drops but i can't figure out how to write it in a "teacher acceptable" equation.
thanks a ton!!!
~misguided mathmatitian
Click here to see answer by mukhopadhyay(490)

Question 33157: A pharmacists needs to obtain a 70% alcohol solution. How many ounces of a 30% alcohol solution must be mixed with 40 ounces of an 80% alcohol solution to obtain a 70% alcohol solution?
Click here to see answer by checkley71(8403)

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