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Tutors Answer Your Questions about Mixture Word Problems (FREE)


Question 68761: 1. How many liters of a 50% solution should be added to a 80% solution to obtain a 60% solution?

2. Raymond takes a road trip from Sacramento, CA to South Lake Tahoe, CA. He follows the highway, driving a distance of 100 miles each way. On the drive to South Lake Tahoe he averages 40 mph and on the return trip averages 50 mph. What was his average speed for the entire trip?
3. A course consits of four 100 point exams. A student scores 60 points on the first exam. What average must be obtained on the next three exams to obtain an overall average of 75%?
4. There are only two operations that can be done to expressions that will not change their value. What are they?

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Question 69159: What method of data collection would you use to collect data for a study where you would like to determine the chance getting three girls in a family of three children?
a. take a census
b. use a simulation
c. perform a experiment
d. use sampling

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Question 69161: The birth weights for twins are normally distributed with a mean of 2353 grams and a standard deviation of 647 grams. Use z-scores to determine which birth weight could be considered unusual.
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Question 69160: A placement exam for entrance into a math class yields a mean of 80 and a standard deviation of 10. The distribution of the scores is roughly bell-shaped. Use the Empirical Rule to find the percentage of scores that lie between 60 and 80.

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Question 69155: A researcher randomly selects and interviews fifty male and fifty female teachers. What sampling technique is used?
a. cluster
b. stratified
c. random
d. systematic
e. convenience

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Question 69171: How much water must be added to 100ml of 50 % acid/water solution to obtain a 30% solution.
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Question 69382: Two chemical plants are releasing toxic wastes into the atmosphere. Plant I releases a certain amount twie as fast as Plant II. Together they release that amount in 3 hours. How long does it take the slower plant to release that same amount.
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Question 69302: Translate the following phrase into an algebraic equation: The cost per orange when x oranges cost $5. I am new at this. I came up with y=5/x.
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Question 69818: 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?

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Question 69848: A chemist needs 120 milliliters of a 59% solution but has only 32% and 68% solutions available. Find how many milliliters of each that should be mixed to get the disired solution.

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Question 69848: A chemist needs 120 milliliters of a 59% solution but has only 32% and 68% solutions available. Find how many milliliters of each that should be mixed to get the disired solution.

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Question 69981: A weed killer is to be diluted with water so that the weed killer is just 1% of the solution. How much water should be mixed with 5 cm³ of weed killer?
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Question 69882: An elixir has a concentration of 15 milligrams per milliliter. If the dosage order is for 75 milligrams, how many milliliters should be administrated.
I know the answere but I don't know how to set up the formula.

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Question 70297: A total of $9000 is invested in two funds paying 5% and 6% annual interest. The combined interst is $510. How much of the $9000 is invested in each fund?
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Question 70297: A total of $9000 is invested in two funds paying 5% and 6% annual interest. The combined interst is $510. How much of the $9000 is invested in each fund?
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Question 70296: When Frank and Mark finished milking, they found that they had 900 pounds of milk that was 2 percent butterfat. How much butterfat did they have to add to raise the butterfat content to 10 percent?
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Question 70296: When Frank and Mark finished milking, they found that they had 900 pounds of milk that was 2 percent butterfat. How much butterfat did they have to add to raise the butterfat content to 10 percent?
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Question 70305: A total of $25,000 is invested in two funds paying 5% and 6% annual interest. The combined interest is $510. How much of the $25,000 is invested in each fund?

I posted a similar problem but I'm not sure how to set it up the way my teacher requires us too. We do 3x3 charts and put the information that way. like there would be a column for the amount, rate(or percentage) and total.

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Question 70313: I wrote the problem i wrote before wrong. This is what it really is.

A total of $25,000 is inested in two funds paying 5% and 6% annual interest. The combined annual interest is $1400. How much of te $25,000 is invested in each fund?

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Question 70665: A coffee merchant has coffee beens 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?
Click here to see answer by ankor@dixie-net.com(15625) About Me 

Question 70706: Ten gallons of a 25% salt solution are to be obtained by mixing solutions that are 13% salt and 33% salt respectively. How many gallons of each are needed?
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Question 71073: How many quarts of water does one add to 6 quarts of a 60% alcohol solution to create a 40% alcohol solution?
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Question 71088: Star Cups, a specialty coffee store, creates a special mix of two coffees at two different prices $6.42 and $7.28 per pound each. How many pounds of the $7.28 coffee should be mixed with 7 pounds of $6.42 coffee to sell the mixture for $7.20 per pound?
x+7 pounds = total quanity of mixture.
6.42(7) + 7.28x = 7.20 (x+7)
642(7)+728=720 (x+7)
4494 + 728x = 720x +5040
4494 +728x=720x + 5040
4494 +728x-720x=720x-720=5040
28x =546
7x/7x=546/7
x=72

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Question 71265: How many parts of glacial acetic acid (99.5% acetic acid) must be added to 100 parts of a 10% solution of acetic acid to give a 28% solution? (Round your answer to the nearest whole part)
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Question 71528: a ground meat mixture is formed by combining meat that cost $2.20 per pound with meat that cost $4.20 per pound. How many pounds of each were used to make a 50lb mixture that cost $3.00 per pound?
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Question 71527: how many pounds of tea that cost $4.20 per pound must be mixed with 12lb of tea that cost $2.25 per pound to make a mixture that cost $3.40 per pound?
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Question 71660: A tea mixture was made from 40lbs of tea costing $5.00 per pound and 10lbs of tea costing $3.50 per pound. Find the cost of the tea mixture per pound.
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Question 71686: How many gallons of water must be mixed with 5 gal of a 20% sal solution to make a 16% salt solution?
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Question 71685: A butcher combines 100 lb of hamburger that costs $2.40 per pound with 60 lb of hamburger that costs $3.20 per pound. Find the cost of the hamburger mixture.
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Question 73014: If a couple plans to have ten children, how many gender sequences are possible?

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Question 73015: A company ships computer components in boxes that contain 30 items. Assume that the probability of a defective computer component is 0.2. Use the geometric variance to find the variance of the defective parts.
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Question 73016: You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places.
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Question 73016: You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places.
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Question 73047: How many liters of a 20% alcohol solution and a 10% alcohol solution should be mixed to obtain 50 liters of a 12% alcohol solution?
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Question 73130: Decide whether the experiment is a binomial experiment. If it is not, explain why. Each week, a lottery player plays the Daily Three in the California lottery. The random variable is the number of times per year the player wins.
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Question 73127: How many versions of a test are required to cover all possible question arrangements if there are nine open-ended questions on the test?
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Question 73141: How many kg of water must be evaporated from 50kg of a 10% salt solution to obtain a 15% salt solution?
This was given to me out of a GEPA math tutorial book.

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Question 73318: Elementary & Intermediate Algebra: Angela needs 20 quarts of 50% antifreeze solutioin in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of a 40% antifreeze solution. How many quarts of each should she use?
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Question 73299: Mr.Nelson lost one of his students test papers. He knos thar thre other 4 students scored as follows: 12,20,21,12. He know that the average score is 19.4.What the score on the missing paper.
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Question 73366: jackie's average mark on her 3 tests was 78.the makrk on test one was 86. her averge mark on the fist two was 3 more thn her mark on the third.what marks did she recieve on her second and third test?
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Question 73444: 9)Northern Maywood voted 60% to 40% in favor of a water project. Southern Maywood voted 90% to 10% against the project. The project passed 55% to 45%. If 5900 people voted, how many were from Southern Maywood? The percentages confused me. I didn't know how to set up the equation.
10) An employer has a daily payroll of $1950 when employing some workers at $120 per day and others at $150 per day. When the number of $120 workers is increased by %50 and the number of $150 workers is decreased 1/5, th new daily payroll is $2400. Find how many workers were originally employed at each rate.

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Question 73623: You observe the gender of the next 100 babies born at a local hospital. You count the number of girls born. Identify the n, p, and q, and list the possible values of the random variable x.
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Question 73622: The random variable x represents the number of boys in a family of three children. Assuming the boys and girls are equally likely, (a) construct a probability distribution, and (b) graph the distribution.
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Question 73688: There are 850 Douglas Fir and Ponderosa Pine trees in a section of forest bought by Sawz Logging Co. The company paid an average of $300 for each Douglas Fir and $225 for each Ponderosa Pine. If the company paid $217,500 for the trees, how many of each kind did the company buy?
I've worked it out and come up with x = 37,500 but this is more than the amount of trees they had (850). What am I doing wrong?
This came from MAT 106, Algebra 1A class Ch. 2 of Beginning Algebra (6th ed.)

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Question 73871: How many gallons of a 40% alcohol solution must be mixed with 70 gallons of a 21% slution to obtain a solution that is 30% alcohol
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