Questions on Word Problems: Mixtures answered by real tutors!

Tutors Answer Your Questions about Mixture Word Problems (FREE)

Question 138913: how many gallons of pure alcohol must be added to 5 gallons of 20% alcohol solustion to make a 50% alcohol solution?
Click here to see answer by edjones(8007)

Question 139080: One brine solution contains 6% salt and another brine solution contains 2% salt. How many pints of each solution should be mixed to produce 48 pints of brine solution that is 5% salt?
Click here to see answer by ankor@dixie-net.com(22740)

Question 139119: A chainsaw runs on fuel that is 10% oil and 90% gas. How much oil will have to be added to 3 gallons of fuel that is 5% oil and 95% gas in order to use the chainsaw?
Click here to see answer by scott8148(6628)

Question 139118: Robin's company invested its profits of $52,700, part at 13.5% and part at 15%. the total annual yield on this investment was $7432.50. How much was invested at each rate?
Click here to see answer by checkley77(12844)

Question 139198: A garden hose can fill a swimming pool in 3 days, a larger hose can fill the pool in 2 days, how long will it take if both hoses are used?
Click here to see answer by solver91311(24713)

Question 139116: A dairy has 50 Gallons of milk that is 7.8 % butterfat. how much skim milk (no butterfat) should be mixed with it to make milk that is 2% butterfat?
Click here to see answer by ankor@dixie-net.com(22740)

Question 139634: here is the question
three workers are to accomplish a job.the first worker can finish a job in 4 hours.the second worker can finish a job in 2 hours working together find the amount of time it would take the third worker to do the job on him own.

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

Question 139566: Dr. Bennington took an alloy containing 10% silver and mixed it with an alloy containing 40% silver to get a 60 ounce alloy containing 30% silver. How many ounces of the 10% alloy did he use?
Click here to see answer by ankor@dixie-net.com(22740)

Question 139784: While John is driving his car, he notices that the odometer reads 13931 miles. The mileage is a palindrome, a number that reads the same forward as it does backward. Exactly 2 hours later, John notices that the odometer displays a different palindrome. What is the most likely average speed at which the car has been traveling?

Click here to see answer by solver91311(24713)

Question 139781: One-sixth of a steel beam of a bridge is in cement below the bed of a river. Two-fifths of the beam is in the water, and 78 feet of the beam are above the water. How long is the steel beam?
Click here to see answer by solver91311(24713)

Question 139780: A carpenter goes to a hardware store to buy a specific number of pounds of nails for his business. The first store he enters sells his favorite size nails at 9 cents per pound. At this price, the carpenter realized that he would be short $7.15 if he tried to buy the nails. The carpenter goes to a competing hardware store and finds that the nails sell for 6 cents a pound. He realizes that after paying for the nails, he would have $2.45 left over. How many pounds of nails is he trying to buy?
Click here to see answer by ankor@dixie-net.com(22740)

Question 139932: One eighth of the square root of 7 less than a number is 2. What is the number?
Click here to see answer by edjones(8007)

Question 139930: Indicate which of the following sets of lines are parallel, perpendicular, or neither.
y=2x-5
y=2x+5

3x+y=5
-x+3y=6

3x+y=5
x+y=3

Click here to see answer by edjones(8007)

Question 139929: Determine whether or not the following points are collinear.
(1,9),(7,3), and (10,0)
Click here to see answer by rapaljer(4671)

Question 139928: The amount of money that a salesperson makes varies directly as the total amount of sales made. If the salesperson receives $7,500 for selling a house for $120,000, how much will he or she make if he or she sells a house for $150,000?
Click here to see answer by ankor@dixie-net.com(22740)

Question 140508: Soybean meal is 12% protein; cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240-lb mixture that is 7% protein?
Click here to see answer by stanbon(75887)

Question 140581: How much pure water must be mixed with 9 pints of %60 developer to produce a mixture that is %19 developer?
Click here to see answer by checkley77(12844)

Question 140580: How much pure water must be mixed with 9 pints of %60 developer to produce a mixture that is %19 developer?
Click here to see answer by checkley77(12844)

Question 141043: The rectangular part of the field below is 140 yards long, and the diameter of each semicircle is 40 yards. Find the cost of reseeding the field at .70 per square yard.
Click here to see answer by ankor@dixie-net.com(22740)

Question 141344: how to find a solution???
Click here to see answer by solver91311(24713)

Question 141339: slice turkey costs $3.20 per pound. Roast beef costs twice as much, and ground beef costs half as much as the turkey. The science club ordered 5 pounds of each for its annual picnic. What was the total cost?

Click here to see answer by nabla(475)

Question 141523: A chef is using a mixture of two brands of italian dressing. the first brand contains 9% vinegar, and the second brand contains 14% vinegar. The chef wants to make 230 milimeters of a dressing that is 13% vinegar. How much of each brand should she use?
Click here to see answer by checkley77(12844)

Question 141629: A solution of 68% fertilizer is to be mixed with a solution of 32% fertilizer to form 108 liters of a 40% solution. How many liters of the 68% solution must be used?
Click here to see answer by checkley77(12844)

Question 141628: How much pure water must be mixed with 4 pints of 90% developer to produce a mixture that is 19% developer?
Click here to see answer by checkley77(12844)

Question 141627: How much pure water must be mixed with 7 pints of 50% developer to produce a mixture that is 23% developer?
Click here to see answer by checkley77(12844)

Question 141660: Your math teacher says you have an 86.5% test average after 8 tests. You will be taking 4 more tests and hope to raise your overall test average to 90%. What do you need to average on the next 4 tests in order to reach that goal?
Click here to see answer by Fombitz(32388)

Question 141796: The sum of two numbers is 152. If four times the smaller number is subtracted from the larger number the result is 12. Find the two numbers.
Thank you in advance for your help!
Click here to see answer by jojo14344(1513)

Question 143340: Brand X sells 21 oz bags of mixed nuts that contain 29% peanuts. To make their product they combine Brand A mixed nuts which contain 35% peanuts and Brand B mixed nuts which contain 25% peanuts. How much of each do they need to use?
Click here to see answer by ptaylor(2198)

Question 143346: Working together, Jenny and Natalie can mop a warehouse in 5.14 hours. Had she done it alone it would have taken Natalie 12 hours. How long would it take Jenny to do it alone?
Click here to see answer by ankor@dixie-net.com(22740)

Question 143316: A fertilizer is to be diluted with water so that the fertilizer is just 1% of the solution. How much water should be mixed with 5cm^3 of fertilizer?
Click here to see answer by ptaylor(2198)

Question 143320: Can you please help me solve this px
11. (10 pts) A survey of residents in a small town showed the following:
29 ate beef 13 ate both beef and fish 6 ate all types
26 ate fish 11 ate both fish and poultry 7 ate none of them
25 ate poultry 18 ate both beef and poultry
Draw a Venn diagram. Label your diagram clearly. Use your diagram to answer the following questions:
(a) How many ate fish, but not poultry or beef?
(b) How many ate poultry and fish, but not beef?
(c) How many ate only beef?
(d) How many ate nothing or only poultry?

Click here to see answer by stanbon(75887)

Question 143620: If it takes 5 people 7 hours to clean an office building, how long would it take 4 people to clean the same building.
Click here to see answer by scott8148(6628)

Question 143643: Hi, I have the answers to the problems but I don't know the steps to get the answer here are a few of my word problems and answers. If someone could help me out with the formula to answer the problem it would be greatly appreciated.
Six hundred people attened the premiere of a motion picture. Adult tickets cost $9, and chilren were admitted for $6. If box office reciepts totaled $4800, how many chilren attended the premiere?

Click here to see answer by jim_thompson5910(35256)

Question 143667: I am having a lot of trouble with word problem questions. If someone could help me that would be great. If you could show your work so that I can understand how you got the answer would be apprectiated. Thanks so much!
*In a certain medical test designed to measure carbohydrate tolerance, and adult drinks 7 ounces of a 30% glucose solution. When the test is administered to a child, the glucose concentration must be decreased to 20%. How much 30% glucose solution and how much water should be used to prepare 7 ounces of 20% glucose solution?
*Theophylline, is prepared from an elixir with a drug concentration of 5 mg/ml and a cherry-flavored syrup that is to be added to hide the taste of the drug. How much of each must be used tp prepare 100 mililiters of solution with a drug concentratio of 2 mg/ml?
*Two children who are 224 meters apart, start walking toward each other at the same instant at rates of 1.5m/sec and 2 m/sec, respectively.
(a) When will they meet?
(b) How far will each have walked?
*A wafer cone is to hold 8 in^3 of ice cream when filled to the bottom. The diameter of the cone is 2 inches, and the top of the ice cream has the shape of a hemisphere. Find the height (h) of the cone.
*A runner starts at the beginning of a runners' path and runs at a constant rate of 6 mi/hr. Five minutes later a second runner begins at the same point, running at a rate of 8 mi/hr and following the same course. How long will it take the second runner to reach the first?
Click here to see answer by ankor@dixie-net.com(22740)

Question 143723: I am having a lot of trouble with word problem questions. If someone could help me that would be great. If you could show your work so that I can understand how you got the answer would be apprectiated. Thanks so much!
1. (4pts) Let p, q, and r be the following statements:
p: Roses are red
q: The sky is blue
r: The grass is green
Translate the following statements into English
The symbols cames thru as squares so I tried to explain them
(a) p  q (Square box is the letter v reversed)
(b) p  (q  r) (1st Square is the letter v reveresd; 2nd square is a v)
(c) q  (p  r) (1st Square is an arrow pointing to the right; 2nd square is the letter v reversed.)
(d) (  r   q)   p (1st box is ~ 2nd box is reversed v 3rd box is ~ 4th box is an arrow pointing to the right, the 5th box is ~)

Click here to see answer by Edwin McCravy(20054)

Question 143727: I am having a lot of trouble with word problem questions. If someone could help me that would be great. If you could show your work so that I can understand how you got the answer would be apprectiated. Thanks so much!
4. (4 pts) For each of the following conditionals, identify the antecedent and the consequent. Form the converse, inverse, and contrapositive.
(a) If I don�t go to the movie, I�ll study my math.
(b) Your car won�t start if you don�t have gasoline in the tank.

Click here to see answer by Edwin McCravy(20054)

Question 143822: a sltwater solution of 40 cups is 30%salt.Approximately how many cups of another saltwater solution of 65% salt mixture need to be added to obtain a 50% salt solution ?
Click here to see answer by ptaylor(2198)

Question 143892: How much pure water must be mixed with 6 pints of 90% developer to produce a mixture that is 17% developer?
Click here to see answer by stanbon(75887)

Question 143892: How much pure water must be mixed with 6 pints of 90% developer to produce a mixture that is 17% developer?
Click here to see answer by scott8148(6628)

Question 143924: The formula 0.85x + 0.50(a-x) = 0.70a expresses the number of gallons x of a fungicide that is85% detergent and will be mixed with a 50% detergent solution to achieve a 70% detergent solution. The 70% solution will fill a 10-gallon tank. What is the value of "a" in the equation?
A. 0.7
B. 0.35
C. 1.40
D. 10
Click here to see answer by ptaylor(2198)

Question 144406: This is not algebra but here is my question......hoping to get an answer.
How energy from the sun becomes transformed into energy to power the human body ?
Click here to see answer by nabla(475)

Question 144560: I need help with the following problem...I have NO idea what to do!! Thanks in advance for your help!!!
Anne and Nancy use a metal alloy that is 15.9% copper to make jewelry. How many ounces of an alloy that is 15% copper must be mixed with an alloy that is 18% copper to form 90 ounces of the desired alloy?
Click here to see answer by checkley77(12844)

Question 144559: I need help with the following problem...I have NO idea what to do!! Thanks in advance for your help!!!
A merchant has coffee worth $2 a pound that she wishes to mix with 8 pounds of coffee worth $8 a pound to get a mixture that can be sold for $3 a pound. How many pounds of the $2 coffee should be used?
Click here to see answer by checkley77(12844)

Question 145031: 1. if four coins are flipped at once, what is the probability that exactly 3 tails will come up?
2.What is 6x+6y/x-y
____________
18/5x-5y
3. What is the probability of rolling two number cubes and getting the sum that is odd or a multiple of 3?

Click here to see answer by Edwin McCravy(20054)

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