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Tutors Answer Your Questions about Mixture Word Problems (FREE)


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?

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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.

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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.
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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?
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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%?
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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%?
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Question 38162: At lunch, 5 people out of a group of 9 had hamburgers. What fraction names the part of the group who had hamburgers? What fraction names the part who did not have hamburgers?
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Question 38170: How do you change to a mixed or whole number
58
___
7

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

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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?
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Question 38833: how much pure acid must be added to 6 milliliters of a 5% acid solution to produce a 40% acid solution?
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Question 38834: how much water must be added to 12 grams of 90% iodine solution to produce a 25% iodine solution?
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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?
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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.
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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

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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.

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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?
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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

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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?

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Question 39679: Yuri has a board that is 98 in. long. He wishes to cut the board into two pieces so that one piece will be 10 in. longer than the other.What should the lenght of each piece be?
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Question 39731: A chemical solution contains 4% salt. How much salt is in 0.5 ml of solution? Round your answer to three decimal places, if necessary.
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Question 39730: Suppose that the blood alcohol concentration (BAC) of a person who has been drinking is given by the following:
Find the BAC for a 255-lb man who, in 2 hours, has drunk 13 beers. (Assume that each beer is 12 oz with a 4.5% alcohol content.) Round your answer to the nearest thousandth.

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Question 40301: The average number of red blood cells in 1mm(cube) of human blood is about 4500000. In order to perform a blood test, a lab tech dilute one part blood with 300 part salin solution. How many red bleed cells would you expect to find in 0.25mm(cube) of the solution?
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Question 40300: The average number of red blood cells in 1mm(cube) of human blood is about 4500000. In order to perform a blood test, a lab tech dilute one part blood with 300 part salin solution. How many red bleed cells would you expect to find in 0.25mm(cube) of the solution?
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Question 40193: Business and finance. A coffee merchant has coffee beans that sell for $9 per
pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
Thank You

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Question 40611: A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 18 marbles in it. At least how many green marbles does it have?
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Question 40700: Finance Example – Time Value of Money.
The future value of an amount of money is said to be the value of the amount of money that
is allowed at an interest rate over time, and is given by the formula:

where:
FV = future value
PV = present value
i = the interest rate
n = the number of years (periods)
Find the present value that will have produced $15,000 ten years from now if that present
value will earns 10% annual interest (commonly referred to as the discount rate) for the next
ten years.

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Question 40897: In a lab experiment, 3 grams of acid were produced in 32 minutes and 9 grams in 48 minutes.
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Question 41096: A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup ?
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Question 41399: How many liters (L) of a 10% silver iodide solution must be mixed with 7 L of a 4% silver iodide solution to get a 6% solution?
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Question 41508This question is from textbook
: During a lesson on factoring natural number, Marcia said, "I think when you factor an odd number, you always get odd factor."
a, Is Marcia correct?
b, How could you convince Marcia and the rest of the class that Marcia is or is not correct.
This question is from textbook

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Question 41835This question is from textbook
: Planter's Peantut Co. wants to mix 20 lbs of peanuts worth $3 a pound with cashews worth $5 a pound in order to make an experimental mix worth $3.50 a pound. How many pounds of cashews should be added to the peanuts?This question is from textbook

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Question 41832This question is from textbook
: How much pure acid should be mixed with 2 gallons of a 40% acid solution in order to get a 70% acid solution?This question is from textbook

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Question 41976: My question is below, I feel kind of dumb asking it, but it has me puzzled.
A rectangular swimming pool is surrounded by a concrete border. The swimming pool is 50 meters long and,25 meters wide,and the concrete border is 3 meters all around the pool.
A. Find the perimeter
I did this by adding all 4 sides
50+ 25+50+ 25= 150 meters.
I get lost with the next two questions:
b. Find the perimeter of the rectangle formed by the border around the pool
Will I add all sides by 3
c. Find the area of the concrete border.
do I multiply 3 * 4?

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Question 41976: My question is below, I feel kind of dumb asking it, but it has me puzzled.
A rectangular swimming pool is surrounded by a concrete border. The swimming pool is 50 meters long and,25 meters wide,and the concrete border is 3 meters all around the pool.
A. Find the perimeter
I did this by adding all 4 sides
50+ 25+50+ 25= 150 meters.
I get lost with the next two questions:
b. Find the perimeter of the rectangle formed by the border around the pool
Will I add all sides by 3
c. Find the area of the concrete border.
do I multiply 3 * 4?

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Question 42055: Express 1994 as a sum of coonsecutive positive integers and show this is the only way to do it.
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Question 42256This question is from textbook
: Joan is the owner of Starbucks. She has many varieties of coffee in the shop including a Kona variety that sells for $6.20 per pound and an amaretto coffee that sells for $5.80 a pound. She finds that by mixing these two blends she creates a coffee that sells well. If she uses 18 pounds of amaretto coffee in the blend and wishes to sell the mixture at $6.10 per pound, how many pounds of the Kona coffee should she mix with the amaretto coffee?This question is from textbook

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Question 42269: How many Liters of a 60% acid solution must be mixed with a 75% acic solution to get 20 Liters of a 72% solution?
Here is what I have tried. But it does not make sense.
x=60% y=75%
x+y=20L
60%x+75%y=72%
I then tried to solve for x and y and the answers were x=19.04 y=.96 I do not know what units.
I use to be good at stuff like this, but I have not done it since a year ago. Please help me.

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Question 42250This question is from textbook
: Herb Garrett has an 80% methyl alcohol solution. He wishes to make a gallon of windshield washer solution by mixing his methyl alcohol solution with water. If 128 ounces or a gallon of windshield washer fluid contain 6% methyl alcohol, how much of the 80% methyl alcohol solution and how much water must be mixed?This question is from textbook

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Question 42300: Suppose that the blood alcohol concentration (BAC) of a person who has been drinking is given by the following:
ounces consumed times % alcohol times 0.075 divided by body weight in pounds minus hours of drinking times 0.015
Find the BAC for a 255-lb man who, in 2 hours, has drunk 13 beers. (Assume that each beer is 12 oz with a 4.5% alcohol content.) Round your answer to the nearest thousandth.

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Question 42127: Suppose that the blood alcohol concentration (BAC) of a person who has been drinking is given by the following:
ounces consumed times % alcohol times 0.075 divided by body weight in pounds minus hours of drinking times 0.015
Find the BAC for a 255-lb man who, in 2 hours, has drunk 13 beers. (Assume that each beer is 12 oz with a 4.5% alcohol content.) Round your answer to the nearest thousandth.

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Question 40232: Suppose that the blood alcohol concentration (BAC) of a person who has been drinking is given by the following:
ounces consumed times % alcohol times 0.075 divided by body weight in pounds minus hours of drinking times 0.015
Find the BAC for a 255-lb man who, in 2 hours, has drunk 13 beers. (Assume that each beer is 12 oz with a 4.5% alcohol content.) Round your answer to the nearest thousandth.

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Question 25566: Use the same units of measure in the numerator and denominator to express 30 minutes to 4 hours as a fraction in reduced form.
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Question 42572: How many liters of water must be added to 5 liters of a 30% acid solution to obtain a 20% acid solution?
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Question 42572: How many liters of water must be added to 5 liters of a 30% acid solution to obtain a 20% acid solution?
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