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Word Problems: Mixtures

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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(127)

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(4898)

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(26252)

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(26252)

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(26252)

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(475)

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(475)

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(475)

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(182)

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(26252)

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(8405)

Question 33294: Lindsey has a delicious recipe for party punch. The recipe requires twice as much orange juice than pineapple juice, and 8 times as much Sprite as pineapple juice. Lindsey plans on making 176 ounces of punch for her party, how much of each ingredient should she use?
I thought the problem should be set up as such x = pineapple juice
2x + x = orange juice and 8x + x = Sprite
x + (2x + x) + (8x + x)=176 but how do I find each ingredient?
Click here to see answer by checkley71(8405)

Question 33524: The madison local high school marching band sold gift wrap. The gift wrap in solid color sold for $4.00 per roll,and the print wrap sod for $6.00 per roll.The total number of rolls sold was 480,and the total amount of money collected was $2340.00.How many rolls of each kind of gift wrap were sold? I am a parent of a child that brought this problem to me for math help. I have never been that great in math.I really hope that you can help her and also me to understand this thank you for your time.
Click here to see answer by mukhopadhyay(490)

Question 33651This question is from textbook Algebra and Trigonometry Structure and Method

: Cheryl has 20 coins worth $3.15. If the coins are dimes and quarters only, how many of each type of coin does she have?This question is from textbook Algebra and Trigonometry Structure and Method

Click here to see answer by mukhopadhyay(490)

Question 33682: in a chem class, 7 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution. How many liters are needed?
I tried : to make a chart
or .10x + .04{7 + X}= .06
I got a neg. number. Please help.

Click here to see answer by Paul(988)

Question 33732: A chemist wants to mix a 75% acid solution with a 35% acid solution to produxe 400 ml of a 50% acid solution. How many ml of each solution should he use? Could someone show me how to do this problem? Thank you.
Click here to see answer by venugopalramana(3286)

Question 33733: Pump A can fill a tank in 6 hours. Pump A and B together can fill the same tank in 3.5 hours. How long will it take to pump B to fill the tank alone? Can you show me how to do this problem? Thank you.
Click here to see answer by venugopalramana(3286)

Question 33817: Pump A can fill a tank in 6 hours. Pump A and B together can fill the same tank in 3.5 hours. How long will it take to pump B to fill the tank alone? Can you show me how to do this problem? Thank you.

Click here to see answer by venugopalramana(3286)

Question 33812: A chemist mixes two solutions. Solution A is 24% acid (the rest is water), and solution B is 41% acid. Some of each of the solutions are mixed to produce 50 gallons of a solution that is 31% acid. Find the difference between the quantity of solution A and the quantity of solution B used. Write your answer as a simplified fraction.
Click here to see answer by venugopalramana(3286)

Question 33853: A pharmacist mixed some 10%-saline solution with some 15%-saline solution to obtain 100 mL of a 12%-saline solution. How much of the 10%-saline solution did the pharmacist use in the mixture?
Click here to see answer by venugopalramana(3286)

Question 34182: A chemist wants to mix a 75% acid solution with a 35% acid solution to produxe 400 ml of a 50% acid solution. How many ml of each solution should he use? Could someone show me how to do this problem? Thank you.
Click here to see answer by venugopalramana(3286)

Question 34225: How many oz. of pure chocolate must be added to 150 oz that is 60% chocolate to make a topping that is 75% chocolate?
Click here to see answer by venugopalramana(3286)

Question 34226:
solve to find X (there maybe 1 answer or 2)
Click here to see answer by ichudov(404)

Question 34435: I am trying to work a problem that my teacher gave me on a worksheet. We have worked other problems but none like this one. Could you please help. thanks!!
An industrial chemist has a solution that is 60% alcohol. After she draws off 5L and replaces it with 5L of alcohol the resulting solution is 85% alcohol. How many liters does she have?
Click here to see answer by Earlsdon(4898)

Question 34579: This exercise is solving applied problems: three equations.
Sally works at Starbucks a 10-oz cup of coffee costs $1.09, a 14-oz cup costs $1.29 and a 20-oz cup costs $1.49. During a busy period, Sally served 34 cups of coffee, emptying five 96-oz pots while collecting $43.46. How many cups of each size did Sally fill?
I know the answer is 8 10-oz, 20 14-oz, and 6 20-oz but how do you get those answers?
Click here to see answer by Paul(988)

Question 35037: How many ounces each of a 12% alcohol solution and a 30% alcohol solution must be combined to obtain 60 ounces of an 18% solution?
Click here to see answer by Paul(988)

Question 35037: How many ounces each of a 12% alcohol solution and a 30% alcohol solution must be combined to obtain 60 ounces of an 18% solution?
Click here to see answer by Prithwis(166)

Question 35083This question is from textbook

: I don't get this. Shouldn't she just make the mixture using the 60% solution?
Here's the problem: Susan Staples, a pharmacist, has a 60% solution of the drug sodium iodite. She also has a 25% solution of the same drug. She gets a prescription calling for a 40% solution of the drug. How much of each solution should she mix to make 0.5 liter of the 40% solution?This question is from textbook

Click here to see answer by stanbon(26252)

Question 35169: .O6X+160An investor decides at the beginning of the year to invest some of his cash in an account paying 8% annual interest, and to put the rest in a stock fund that ends up earning 15%over the course of the year. He puts $2000 more in the first account than in the stock fund, and at the end of the year he finds he has earned $1,310 in interest. How much money was invested at each of the two rates?

Click here to see answer by checkley71(8405)

Question 35168: Melissa's mother is 20 years older than Melissa, but 3 years younger than Melissa's father. Melissa's father is 7 years younger then three times Melissa's age. How old is Melissa?

Click here to see answer by Paul(988)

Question 35331: If my first calculation is right, my second doesn't seem to make sense. Can anyone help?
A virus is released on 100 computers. The virus grows according to

P(t)=(100)2t/2 where t represents the # of hours from the time of
introduction.
1. What is the doubling time for this virus?

My calculation:
4. P(t) = (100)2t/2
200=(100)2t/2
2=2t/2
2=t
Answer: 2 hours
2. How long will it take for the virus to infect 2,000 computers according to
this model?
My calculation:
5. 2000=(100)2t/2
20=2t/2
4=t
Answer: 4 hours

Click here to see answer by narayaba(40)

Question 35360: A private jet flies the same distance in 6 hours as a commercial jet flies in 4hrs. If the speed of the commercial jet was 148 mph less than 2 times the speed of the private jet, find the speed of each jet.
Click here to see answer by Paul(988)

Question 35368This question is from textbook

: The population of a city is given by P=5000e^kt where t is time in years, with t=0 coresponding in year to 2000. In 1990 the population was 34,500. Find the value of k and predict the population in 2030.
I come up with 123,608 if I use the negative in my problem
34,500 =5000e^k(-10)
6.9 = e^k(-10)
ln6.9 = k(-10)
P= 5000e^(-.193152141)(30)
P= 123,608 population in 2030
Is this correct??? Thinking it should be higherThis question is from textbook

Click here to see answer by stanbon(26252)

Question 36747: Pipe A can fill a tank in 8 hours. When pipe A and pipe B are used, the tank is filled in 5 hours. How long, in hours, would it take pipe B alone to fill the tank?
This is not from a book; it is from a handout.
Thank you for any help. I appreciate it.
Click here to see answer by venugopalramana(3286)

Question 36887: Flying against the jetstream, a jet travels 6390 km in 9 hours. Flying with the jetstream, the same jet travels 5150 km in 5 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?

Click here to see answer by checkley71(8405)

Question 36889: The combined cost of one advance ticket to a show and one same-day ticket was $55 . It is known that 30 tickets were sold in advance and 25 the same day, for total receipts of $1575 . What was the price of each kind of ticket?

Click here to see answer by checkley71(8405)

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