Questions on Word Problems: Mixtures answered by real tutors!

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Question 67408: A recipe calls for 12 ounces of cottage chees and 6 ounces of cream cheese. If there are 216 calories in 8 ounces of cottage cheese and 106 calories in 1 ounce of cream chees, how many calories are there in 36 ounces of the mixture?
Click here to see answer by ptaylor(2198)

Question 66481: This is for a work seminar I'm involed in. I have solved half the problem....but can't get the last question. My brain is tired....help:)
The Facts: There are five houses.Each house is a different color.Each house is inhabited by people of different nationalities.Each house has a different pet, and the people in each house drink different drinks and smoke different cigarettes.
The clues: 1. The english man lives in the red house.
2. The spaniard owns the dog.
3. Coffee is drunk in the green house.
4. The ukrainia drinks tea.
5. The green house is immediately to the right of the ivory house.
6. The camel smoker owns snails.
7. Kools are smoked in the yellow house.
8. Milk is drunk in the middle house.
9. The norwegian lives in the first house on the left.
10. The man who smokes marlboroughs lives in the house next
to the man with the fox.
11. The lucky strike smoker drinks orange juice.
12. Kools are smoked in the house next to the house where the
horse is kept.
13. The japanese smokes parliaments.
14. The noewegian lives next to the blue house.
The two questions are: Who owns the zebra?
Who drinks water? The answer is the Norwegian
So my question is who of these upstanding, heavy smoking neighbors, keeps a zebra in his yard.......cause I mean...WHO wouldn't want a zebra?:)
Click here to see answer by 303795(602)

Question 67578: A chemist has 300 milliliters (mL) of solution that is 18%
acid. How many milliliters of acid are in the solution?
Click here to see answer by tutorcecilia(2152)

Question 67717: Here is the problem. A parts person has to spend exactly $100 and must buy 100 parts. Good parts cost 5$, regular parts cost 1$, and cheap parts cost 25 cents. He has to buy 100 parts for $100 and have some of each part. I tried the trial and error method and got an answer, but wanted to get an anwer algebraically, (sp?)
I tried: 5x + y + .25z = $100
x + y + z = 100 and substituting variables but could not get it to work. I appreciate your help.
George
Click here to see answer by ankor@dixie-net.com(22740)

Question 67768: At a local community college, five statistics classes are randomly selected and all of the students from each class are interviewed. What sampling tecnique is used?
a. stratified
b. cluster
c. convenience
d. random
e. systematic
Click here to see answer by stanbon(75887)

Question 67819: A liter of cream has 9.2% butterfat. How much skim milk containing 2% butterfat should be added to the cream to obtain a maxture of 6.4% butterfat?
Click here to see answer by checkley71(8403)

Question 67898: How many gallons of a 5% acid solution must be mixed with 5 gal of a 10% solution to obtain a 7% solution?
Click here to see answer by Earlsdon(6294)

Question 68002: Dimitruis skipped lunch today to get some sun in the school courtyard. Lying on the grass and looking up at an angle of 22 he could see the top of the flagpole which was about 100 ft away. How tall is the flagpole?

Click here to see answer by Nate(3500)

Question 68112: Bob needs to buy 5 pounds of candy. one kind costs 1.75 per pound and the second kind costs 2.35 per pound. How much of each will he need if he spends 10.00?
Click here to see answer by ankor@dixie-net.com(22740)

Question 68196: An 800 g solution of acid and water contains 128 g of acid. What percent of the solution is acid?
Click here to see answer by ptaylor(2198)

Question 68320: An oil company wants to mix two grades of rocket fuel costing $3 and $4 per gallon,respectively with purified ethanol costing $8 per gallon to obtain 140 gallons of hybrid fuel costing NASA $6 per gallon. If the oil company also wants the amount of lower grade fuel to be twice that of higher-grade rocket fuel,how many gallons of each variety of fueling product should be mixed?
- define your unknowns in terms of x,y etc.
-write down a linear function of equations representing the information given

Click here to see answer by stanbon(75887)

Question 68521: How many pounds of peanuts costing $2.00 a pound should be mixed with a 4 pounds of cashews costing $4.50 a pound to obtain a mixture costing $3.00 a pound?
Click here to see answer by checkley71(8403)

Question 68592: Please help to solve
One solution was 10% alcohol and the other was 30% alcohol. HOw much of each should be used to get 200 gallons of a solution that is 17% alcohol?
Click here to see answer by ptaylor(2198)

Question 68704: one grade of oil has 0.50% of an additive, and a higher grade has .75% of the additive. How many liters of each must be used to have 1000L of a mixture with 0.65% of the additive?

I tried to set up a chart but I'm having problems figuring out how to set up this problem.
Click here to see answer by stanbon(75887)

Question 68762: 1. How many liters of a 50% solution should be added to a 80% solution to obtain a 60% solution?
Click here to see answer by josmiceli(19441)

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?
Click here to see answer by ankor@dixie-net.com(22740)

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
Click here to see answer by stanbon(75887)

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.
Click here to see answer by stanbon(75887)

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.

Click here to see answer by stanbon(75887)

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
Click here to see answer by stanbon(75887)

Question 69171: How much water must be added to 100ml of 50 % acid/water solution to obtain a 30% solution.
Click here to see answer by Nate(3500)

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.
Click here to see answer by ptaylor(2198)

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.
Click here to see answer by ptaylor(2198)

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?

Click here to see answer by ptaylor(2198)

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.

Click here to see answer by checkley75(3666)

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 cm� of weed killer?
Click here to see answer by Edwin McCravy(20055)

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.
Click here to see answer by ankor@dixie-net.com(22740)

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?
Click here to see answer by checkley75(3666)

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?
Click here to see answer by checkley75(3666)

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.
Click here to see answer by checkley75(3666)

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?
Click here to see answer by ankor@dixie-net.com(22740)

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(22740)

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?
Click here to see answer by stanbon(75887)

Question 71073: How many quarts of water does one add to 6 quarts of a 60% alcohol solution to create a 40% alcohol solution?
Click here to see answer by ptaylor(2198)

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

Click here to see answer by checkley75(3666)

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)
Click here to see answer by ptaylor(2198)

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?
Click here to see answer by ptaylor(2198)

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?
Click here to see answer by ptaylor(2198)

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.
Click here to see answer by checkley75(3666)

Question 71686: How many gallons of water must be mixed with 5 gal of a 20% sal solution to make a 16% salt solution?
Click here to see answer by ptaylor(2198)

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.
Click here to see answer by ptaylor(2198)

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