Questions on Word Problems: Mixtures answered by real tutors!

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Word Problems: Mixtures

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Question 55253: The quation of 2 times a number and 8 equal 2?
Click here to see answer by tutorcecilia(2042)

Question 55871: A liter of cream contains 9.5 percent butterfat. How much skim milk containing 5.5 percent butterfat must be added to the mixture to obtain one liter of mixture with 6.5 percent butterfat?
Click here to see answer by ankor@dixie-net.com(6693)

Question 55920This question is from textbook Elementary Algebra for College Students

: Can you please help, I am not coming up with the correct solution.
PROBLEM: The label on the listerine is 21.6% alcohol by volume, the Scope is 15% alcohol by volume, Hans mixes 6 oz of Listerine with 4 oz of Scope. What is the percent alcohol content of the mixture?
6(.216)+4(.15)=10x
1.30+.60=10x
1.90=10x WHAT AM I MISSING / DOING WRONG?This question is from textbook Elementary Algebra for College Students

Click here to see answer by stanbon(26262)

Question 56118: Thirty-three kilograms of nickel that was 35% pire were mixed with a nickel alloy that was 21% pure. How many kilograms of each kind were used to produce an alloy that was 27% pure?
Click here to see answer by venugopalramana(3286)

Question 56125: Thirty-three kilograms of nickel that was 35% pire were mixed with a nickel alloy that was 21% pure. How many kilograms of each kind were used to produce an alloy that was 27% pure?
Click here to see answer by venugopalramana(3286)

Question 56331: A coffee merchant has coffee beans that sell for $9 a pound and $12 a pound. The two types are to be mixed to create 100 pounds of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
McGraw Hill 6th edition,8.2, # 60.
Thanky you for your time!!
Click here to see answer by stanbon(26262)

Question 56313: How many liters of a 14% alcohol solution must be mixed with 20 liters of a 50% solution to get a 30% solution?
Thank You
Click here to see answer by venugopalramana(3286)

Question 56392: A clothier sold 90 suits. 1/3 at 40% off and 2/3 at 20% off the usual price. If his total sales for the suits were $4890 and his usual prices was $6750. then how much would have been the sales for the suits sold at 40% off if they had been sold at their usual price?
Click here to see answer by stanbon(26262)

Question 56504: a tank holds 80 liters of a chemical solution. currently, the solution has a strenght of 30%. how much of this solution must be drained and replaced with a 70% solution to get a strenght of 40%?
Click here to see answer by ankor@dixie-net.com(6693)

Question 56699: You wish to mix wine with 25% alcohol and peach schnapps with 50% alcohol to obtain a different drink. How many liters of wine would you need to make 20 liters of the mixture with a 40% alcohol content?
Click here to see answer by funmath(2873)

Question 56766: Thank you very much for all you do to help those who struggle!
8. Determine which two equations represent parallel lines.
(a) y = 7x – 6 (b) y = –7x + 6 (c) y = 7x + 2 (d) y = x – 6

Click here to see answer by stanbon(26262)

Question 56767: 9. Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum.
Thank you very much for all you do to help those who struggle!

Click here to see answer by checkley71(8405)

Question 56794: if the difference of two numbers is 10 and their product is 18,what is the sum of their squares?
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Question 57311This question is from textbook Elementary and Intermediate algebra
: Your assistance is greatly appreciated.
Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of 40% antifreeze solution. How many quarts of each should she use?This question is from textbook Elementary and Intermediate algebra

Click here to see answer by funmath(2873)

Question 57310This question is from textbook Elementary and Intermediate algebra
: Your assistance is greatly appreciated.
Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of 40% antifreeze solution. How many quarts of each should she use?This question is from textbook Elementary and Intermediate algebra

Click here to see answer by aaaaaaaa(138)

Question 57579This question is from textbook Elementary and Intermediate Algebra

: To Whomever can assist... Thank you!
A tank contains 50 gallons of a 40% solution of antifreeze. How much solution needs to be drained out and replaced with pure antifreeze to obtain a 50% solution?This question is from textbook Elementary and Intermediate Algebra

Click here to see answer by funmath(2873)

Question 58020: 38. Write the equation of the line that passes through point (7, 5) with a slope of 0.
A) x = 7
B) x = 5
C) y = 7
D) y = 5
Thanks so much for your help!!!
Click here to see answer by checkley71(8405)

Question 58022: 41. Solve. 4(7x + 10) = 3(9x – 5) + 20
A) –35
B) 5
C) –5
D) 35
Thank you for your time!!!
Click here to see answer by tutorcecilia(2042)

Question 58022: 41. Solve. 4(7x + 10) = 3(9x – 5) + 20
A) –35
B) 5
C) –5
D) 35
Thank you for your time!!!
Click here to see answer by rcmcc(152)

Question 58027: 48. Divide.50p^9q^5/10pq^2

A) 5p8q3
B) 5p9q3
C) 40p8q3
D) 40p9q3
This one gave me a huge headache!!!! Thanks so much for your help!!
Click here to see answer by tutorcecilia(2042)

Question 58274: How many ounces of pure gold must be added to five ounces of something that is 1% gold in order that the mixture is 6% gold?
Click here to see answer by ankor@dixie-net.com(6693)

Question 58274: How many ounces of pure gold must be added to five ounces of something that is 1% gold in order that the mixture is 6% gold?
Click here to see answer by stanbon(26262)

Question 58274: How many ounces of pure gold must be added to five ounces of something that is 1% gold in order that the mixture is 6% gold?
Click here to see answer by ptaylor(1578)

Question 59288: You have 20 stampes that have a total value of $6.62. Some of the stamps are worth $0.24 each and others are worth $0.37 each. How many stamps of each type do you have? Please show how to solve this question.
Click here to see answer by funmath(2873)

Question 59519: The word problem is how to solve if I am given to mixtures with each mixture costing a different amount per pound.
At first I came up with these equations...
rice x 2.75/lb. + peas x $1.25/lb. = rice and peas x $1.75/lb.
I then tried to solve for R (rice).
which left me with R@$2.75/lb. = P&R@$1.75/lb. - P@$1.25/lb.
that's where I'm stuck...
I think if I divide out the rice variable I'll be left with fractions all over the place. What step am I leaving out?

Click here to see answer by tutorcecilia(2042)

Question 60085: Good Evening,
I have several different types of word problems that I don't know how to solve.
Perhaps you could help me with them?
1. A contractor mixes concrete from bags of pre-mix for small jobs. How many bags with 10% cement should he mix with 8 bags of 12.5% cement to produce a mix containing 11% cement?
2. Mardi received an inheritance of $50,000. She invested part at 8% and deposited the remainder in tax-free bonds at 12%. Her total annual income form the investments was $4800. Find the amount invested at 8%
3. Jill is 11 kilometers away form Joe. Both begin to walk toward each other at the same time. Jill walks at 3 kilometers per hour. They meet in 2 hours. How fast is Joe walking?
Thank you
KC
Click here to see answer by greenman(5)

Question 53078: The cooling system of a certain foreign-made car has a capacity of 16 liters. If the system is filled with a mixture that is 35% antifreeze, how much of this mixture should be drained and refilled by pure antifreeze so that the system is filled with a solution that is 50% antifreeze?
Click here to see answer by ptaylor(1578)

Question 53029This question is from textbook
: A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The sterilization tank holds 100 gal. of a solution of 2% ordinary household bleach mixed with pure distilled water.. New research indicates that the concentration of bleach should be 5% for complete sterilization. How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level?This question is from textbook

Click here to see answer by ptaylor(1578)

Question 58629This question is from textbook Glenco Mathematics Algebra 1Indiana Edition
: (Photo reference: carton of 2% milk which has 2% butterfat and picture of carton of whipping cream containing 9% butterfat).
"Refer to the graphic at the right" How much whipping cream and 2% milk should be mixed to obtain 35 gallons of milk with 4% butterfat??This question is from textbook Glenco Mathematics Algebra 1Indiana Edition

Click here to see answer by ptaylor(1578)

Question 60952: Mardi received an inheritance of $50,000. She invested part at 8% and deposited the remainder in tax-free bonds at 12%. Her total annual income from the investments was $4,800. What amount was invested at 8%?
Click here to see answer by checkley71(8405)

Question 60951: If you mix 140 mL of a 60% acid solution with 200 mL of a 30% solution you can get a 350 mL of a _____% solution.
Help!
Click here to see answer by checkley71(8405)

Question 60951: If you mix 140 mL of a 60% acid solution with 200 mL of a 30% solution you can get a 350 mL of a _____% solution.
Help!
Click here to see answer by joyofmath(189)

Question 60955: A contractor mixes concrete from bags of pre-mix. How many bags with 10% cement should he mix with 8 bags of 12.5 cement to produce a mix of 11% cement?
Please help - I'm stuck.
Click here to see answer by ptaylor(1578)

Question 61028: Would someone mind taking a look at this question and see if my answer is correct. I think I am on the right track.
One needs to mix a 30% acid solution with a 50% acid solution to obtain 12 ounces of a 45% acid solution. How many ounces of each of the acid solutions must be used?
Amt. of mix is 12 oz
Amt of 1st acid = x
Amt. of 2nd acid is the rest = 12-x
Amt. of acid in the mixture = .45(12)
Amt. of 1st acid = .30x
Amt. of 2nd acid = .50(12-x)

3 oz of 30% acid
9 oz of 50% acid
Click here to see answer by ankor@dixie-net.com(6693)

Question 61054: What quantity of 60% acid solution must be mixed with 30% acid solution to produce 300mL of a 50% solution?
Click here to see answer by Earlsdon(4900)

Question 61047: How many liters of a 14% alcohol solution must be mixed with 20 liters of a 50% solution to get a 30% solution?
Help
Click here to see answer by checkley71(8405)

Question 52998: Pleas help me with this problem.
Roy has 8 gallons of 40% antifreeze solution. How much 100% antifreeze mus be added to make a solution that is at least 60% antifreeze.
Thanks =)
Click here to see answer by ptaylor(1578)

Question 52233: Adult tickets for a play cost $5 and children tickest cost $2 for 1person. 460 tickets were sold. Recipts for person were $1880. Find the # of adult tcikets sold. You must use the chart.(first colmn in chart is type, than cost,and lastly value) the answer is 320. But I dont know what they plugged into the chart to get this answer. I have the types as Adult, children, and mixture. Cost as 5,2,and 7. And the value as 5x, 2(460-5x) and (460)7. What am I doing wrong?
Click here to see answer by ptaylor(1578)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475