Questions on Word Problems: Mixtures answered by real tutors!

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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 Paul(988)

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(8403)

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 33651: 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?
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(507)

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(6294)

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 35083: 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?
Click here to see answer by stanbon(75887)

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(8403)

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 35368: 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 higher
Click here to see answer by stanbon(75887)

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(8403)

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(8403)

Question 37345: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1.5 hours. How quickly can all three fill the pool together?
I think this is a mixture problem. I cannot get a handle on how to set this bad boy up.
Click here to see answer by AnlytcPhil(1806)

Question 38138: Dr. Mento has a class of 80 students. For a group project, she wants to divide the students into groups of 6, 8, or 10. Is this possible? Explain your answer.
Click here to see answer by stanbon(75887)

Question 38074: Domenica invests $200 each quarter in a fixed interest mutual fund paying an annual of 7% compounded quarterly. How much will her account have in it at the end of ten yrs?
Click here to see answer by Nate(3500)

Question 38154: A chemist has 800 grams of a dye solution that is 20% of it original strength. How much dye must be added to increase the strength to 50%?
Click here to see answer by checkley71(8403)

Question 38170: How do you change to a mixed or whole number
58
___
7

Click here to see answer by checkley71(8403)

Question 38175: How do you change to a mixed or whole number
58
___
7

Click here to see answer by Cintchr(481)

Question 38831: how many liters of water must be added to 8 liters of a 40 percent acid solution to obtain a 10 percent acid solution?
Click here to see answer by checkley71(8403)

Question 38833: how much pure acid must be added to 6 milliliters of a 5% acid solution to produce a 40% acid solution?
Click here to see answer by checkley71(8403)

Question 38834: how much water must be added to 12 grams of 90% iodine solution to produce a 25% iodine solution?
Click here to see answer by checkley71(8403)

Question 38832: how many kilograms of pure salt must be added to 20 kilograms of a 10 percent salt solution to obtain a 25 percent salt solution?
Click here to see answer by checkley71(8403)

Question 38885: One machine in a print shop can produce a certain number of pages twice as fast as another machine. Operating together, these machines can produce this number of pages in 8 minutes. How long would it take each machine, working alone to produce this number of pages.
Click here to see answer by Paul(988)

Question 38951: Mr. Turner invested a sum of money at 7% and twice that sum at 3%. His yearly return was $390. How much did Mr. Turner invest at each rate?
(This problem is not from a textbook). Please help, Thank You
Click here to see answer by fractalier(6550)

Question 38954: One sum is invested at 5% and three times as much at 8%. The total annual interest is $580. How large is each sum?
(this is not from a text) I have a problem with both answers.
Please help, Thank You.
Click here to see answer by fractalier(6550)

Question 39107: The time required to complete a job varies inversely as the number of people working. It too 4 hours for 7 electricians to wire a buikding. How long would it have taken 3 electricians to have done the job?
Click here to see answer by fractalier(6550)

Question 39206: I'm having difficulties with this problem:
"A chemist has a 30% acid solution and a 60% solution already prepared. How much of each of the two solutions should be mixed to form 300 milliliters (mL) of a 50% soltuion?
i have the first set of the 2 equation method - at least from what it sounds like i'd be doing that as .3x + .6y = 300mL

Click here to see answer by Paul(988)

Question 39386: I hope I put this under the correct topic.
One recipe calls for 1/4 teaspoon vanilla. A second recipe requires for 1/2 teaspoon vanilla, and a third recipe calls for 1/8 teaspoon vanilla. How much vanilla is required to make all three recipes?
Click here to see answer by checkley71(8403)

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