Questions on Word Problems: Mixtures answered by real tutors!

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Question 540697: Johnny left his office and took the elvator down 4 floors to the cafeteria. He then went up 21 floors to the meeting on the 28th floor. Where is Johnny's office located ?
Click here to see answer by josmiceli(19441)

Question 540941: A store has 20 pounds of trail mix that is 3 part raisins to 2 part nuts. They have available another mix that is 1 part raisin to 3 part nuts. How much of this second mix should be added to the 20 pounds to give a mix that is equal parts of raisins and nuts?
I tried to add both ratios. (3:2)+ (1:3) = (4:5)
Then I added another (3:2) to (4:5) to get (7:7)
I just don't understand how I got this. HELP!!
Click here to see answer by stanbon(75887)

Question 541055: Hello can someone please assist me with the correct approach to solving this problem? I would greatly appreciate it. Thanks in advance.
Candy Mixtures - Someone wants to mix some candy that is worth 45 cents per pound. Some is worth 80 cents per pound to make 350 lb of a mixture worth 65 cents per pound. How much of each type of candy should be used?

Click here to see answer by oberobic(2304)

Question 541069: How many liters of 7% acid must be mixed with how many liters of 12% acid solution by a chemist to obtian 6 liters of 10% acid?
Click here to see answer by scott8148(6628)

Question 541069: How many liters of 7% acid must be mixed with how many liters of 12% acid solution by a chemist to obtian 6 liters of 10% acid?
Click here to see answer by Alan3354(69443)

Question 541136: how many gallons of 20% alcohol soultion and 50% alcohol soultion must be mixed together to get 9 gallons of 30% alcohol solution?

Click here to see answer by mananth(16946)

Question 541198: please help me solve these questions that i don't know with proper steps:-
1)a vessel contains 20kg of diluted milk of which 2/3 is pure and the rest is water.what amount of it is water?
2)to make a miniature car,you need tyres,with a diameter between 1.465cm and 1.472cm.will a tyre that is 1.4691cm in diameter work?explain why or why not.
3)in a certain class, the ratio of passing grades to failing grades is 7 to 5.how many of the 36 students failed in thee course?
4)the fourth proportional to 5,8,15 is____________
5)in a bag,there are coins of 25p,10p,5p in the ratio of 1:2:3.if there is Rs 30 in all,how many 5p coins are there?
Click here to see answer by stanbon(75887)

Question 541310: Matt has twice as many quarters as dimes in his coin collection. if dimes and quarters together total $9.00 how many of each kind of coin does he have?
Click here to see answer by josmiceli(19441)

Question 541397: how many kilograms of salt must be added to 35kg of a 15% salt solution to make a 25% salt solution?
Click here to see answer by josmiceli(19441)

Question 541402: How many ounces of a 14% alcohol solution and a 28% alcohol solution must be combined to obtain 68 ounces of a 21% solution?
Click here to see answer by Alan3354(69443)

Question 541630: An investment of $140,000 was made by a business club. The investment was split into three parts and lasted for 1 year. The first part of the invesment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $10440. The interest from the first investment was 2 times the interest from the second. Find the amount of the three parts of the investment. What is the amount of the first part of the investment?
Click here to see answer by mananth(16946)

Question 542684: Cashews cost $4 per pound and peanuts cost $1 per pound. How many pounds of peanuts should be used with the cashews to get a mixture of 24 pounds that will cost $2 per pound?
Click here to see answer by ankor@dixie-net.com(22740)

Question 542945: Hello, I am stuck on a mixture word problem. We have to use 2 unknowns (i.e., Let x=___ & Let y=____) and use the 6 step approach. Here is the question:
A biologist has two brine solutions, one containing 5% salt and another containing 20% salt. How many milliliters of each should she mix to obtain 1L of a solution that contains 14% salt?
Click here to see answer by scott8148(6628)

Question 543131: How many ounces of a 35% alcohol solution and a 38% alcohol solution must be combined to obtain 63 ounces of a 36% solution?
Click here to see answer by mananth(16946)

Question 543301: How much water should be added to 38 ounces of a 25% solution of alcohol to dilute it to a 19% alcohol solution?
Click here to see answer by richwmiller(17219)

Question 543533: susan wants to mix 10 pounds of virginia peanuts that costs $3.50 a pound with spanish peanuts that cost $3.00 a pound to obtain a mixture that costs $3.40 a pound. how many pounds of spanish peanuts should she use?
Click here to see answer by josmiceli(19441)

Question 543445: How much water should be added to 2.2 L of pure acid in order to obtain a solution that is 55% acid? I know the answer, but I don't know how to get to it.
Click here to see answer by ankor@dixie-net.com(22740)

Question 543932: The electrical resistance of a wire is directly proportional to its length. If a 36 foot long wire has a resistance of 9 ohm(s) find the resistance of a 48-foot long wire.
Click here to see answer by Alan3354(69443)

Question 543958: The current I in an electrical conductor varies inversely as the resistnace R of the conductor. The current is 7 amperes when the resistance is 990 ohms. What is the current when the resistance is 510 ohms?
Click here to see answer by Alan3354(69443)

Question 544050: you have a 70% alcohol solution and a 20% alcohol solution and want to make 20 ounces of a 50% soultion by mixing the two. How many ounces of the 70% soultion would u use?
Click here to see answer by josmiceli(19441)

Question 544061: i need help understanding solving word problems and how to read it and write it out in expression formula
one snack mix contains nuts, candy and cereal and 10% of the weight of the mix is cereal. in nother similar mix, 40% of the weight mix is cereal. if you were to make 40 pounds of mix with 25% cereal by combinding some of each of these, how many pounds of the 10% cereal mix would you need?
i need help
Click here to see answer by josmiceli(19441)

Question 544062: Please help me with the following word problem (I am pretty certain that it has to do with system of equations): A mechanic has 351 gallons of gasoline and 18 gallons of oil to make gas/oil mixtures. He wants one mixture to be 6% oil and the other mixture to be 2.5% oil. If he wants to use all of the gas and oil, how many gallons of gas and oil are in each of the resulting mixtures?
I have tried putting it into two equations .06x+.025y=18 and .94x+.975y=351 and then using the substitution method to solve for x and y. Yet my answers only become true for the first equation
Click here to see answer by stanbon(75887)

Question 544445: how many ounces of a 35% alcohol solution must be mixed with 18 ounces of a 40% alcohol solution to make a 37% alcohol solution?
Click here to see answer by fcabanski(1391)

Question 544527: how much of a 20% solution of nitric acid should be added to 3 L of 12% solution to produce a 15% solution?
Click here to see answer by mananth(16946)

Question 544528: Two solutions of salt water contain 0.04% and 0.19% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.13% salt. How much of each solution should she use?
Click here to see answer by mananth(16946)

Question 544949: A light bulb consumes 960 watt-hours per day. How many watt-hours does it consume in 3 days and 12 hours?
Can some one help me solve this?
Click here to see answer by mananth(16946)

Question 545052: You need to pick up your older sister from college which is 436 miles away. She is able to get a ride part way home. You agree to meet her at a point where both of you travel 4 hours, but you are a faster driver and are going 15 mph faster than her ride. How fast are each of you driving?
Click here to see answer by josmiceli(19441)

Question 545113: The word problems is as follows:
The owners of a candy store wants to sell, for $5 a pound, a mixture of chocolate covered raisins, which usually sells for $3 per pound, and chocolate covered nuts, which usually sells for $8 per pound. They have a 50 pound barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that they hit their target value of $5 per pound for the mixture?
Please help me I just think that I'm over thinking it.
Click here to see answer by saifoo.khan(162)

Question 545201: a tank contains 105 liters of water when 70 percent full .How many liters does it contain when full?
Click here to see answer by josmiceli(19441)

Question 545041: A mechanic has 341 gallons of gasoline and 18 gallons of oil to make gas/oil mixtures. He wants one mixture to be 8% oil and the other mixture to be 3.5% oil. If he wants to use all of the gas and oil, how many gallons of gas and oil are in each of the resulting mixtures?
i know that:
mixture A = oil/(oil+gas)=.08
mixture B = oil/(oil+gas)=.035
if i mix all the gas and oil together i get a 5.013% soulution.
it's supposed to be a system of equations problem.. but my answer document has four blanks to fill in because there are two mixtures, but i cannot figure out how i would even go about this problem.
Click here to see answer by ankor@dixie-net.com(22740)

Question 545682: George decides to mix grades of gasoline in his truck. He puts in 8 gallons of regular and 12 gallons of premium for a total cost of $55.80. If premium gasoline costs $0.15 more per gallon than regular, what was the price of each grade of gasoline.
Click here to see answer by Alan3354(69443)

Question 545690: George decides to mix grades of gasoline in his truck. He puts in 8 gallons of regular and 12 gallons of premium for a total cost of $55.80. If premium gasoline costs $0.15 more per gallon than regular, what was the price of each grade of gasoline.
Click here to see answer by stanbon(75887)

Question 545691: Salt is to be added to a 4% salt solution. How many ounces of salt and how many ounces of the 4% solution should be mixed together to get 60 ounces of a 20% salt solution?
Click here to see answer by oberobic(2304)

Question 545764: a chemist mixes a 10% saline solution with a 20% saline solution to make 500 mililiters of a 16% solution. How many mililiters of each solution does the chemist mix together?
Click here to see answer by mananth(16946)

Question 545910: Please help me figure out the answer: How much of a 70% alcohol solution and how much of a 30% alcohol solution should be mixed to make 5 liters of a 50% alcohol solution?
Click here to see answer by josmiceli(19441)

Question 545938: 5. A merchant has coffee worth $40 a pound that she wishes to mix with 60 pounds of coffee worth $90 a pound to get a mixture that can be sold for $70 a pound. How many pounds of the $40 coffee should be used?
how do i solve this
Click here to see answer by Edwin McCravy(20055)

Question 545971: The manager of a coffee shop has one type of coffee that sells for $5 per pound and one type that sells for $10 per pound. The manager wishes to mix 60 pounds of the $10 coffee to get a mixture that will sell for $8 per pound. How many pounds of the $5 coffee should be used?
Click here to see answer by stanbon(75887)

Question 546036: A local restaurant is hosting a chili cook-off. The restaurant is making award ribbons for the first, second, and third place winners. Each ribbon consists of a rectangle and an isosceles triangle. How many square inches of material will the restaurant need to make each ribbon?

Click here to see answer by stanbon(75887)

Question 546266: To fill a prescription for an antibiotic, a pharmacist mixed a 50% amoxicillin concentrate with pure water to produce 200 millitliters of a 10% solution? How much water and how much of the concentrate did he use?
This isn't actually a homework question, but we have math exams of Thursday, and I can never remember how to do mixture problems. Thanks for the help!
Click here to see answer by KMST(5328)

Question 546393: Write the indicated expression. You will need to select the variable to use.
4. For two consecutive odd integers, the sum of 3 times the smaller and the larger is 14.

Click here to see answer by KMST(5328)

Question 546488: A chemistry student need 15L of a 32% acid solution. The laboratory has ample amounts of 30% and 40% acid solutions. How many liters of each solution should the student mix?
Click here to see answer by mananth(16946)

Question 547076: how many pounds of peanuts at php 80.00 per pound should be added to 200 pounds of cashew nuts at php 200.00 per pound of the mixture is to be worth php 120.00 per pound?
Click here to see answer by mananth(16946)

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