# Questions on Word Problems: Mixtures answered by real tutors!

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 Word Problems: Mixtures Solvers Lessons Answers archive Quiz In Depth

 Question 108400: Aaron, Beth Candance, John and Pat ran around a track as part of a fundraiser for their school Aaron ran first and then when he was tired, Beth ran. When Beth got tired, Candace ran, and so on. By the end of the fundraiser, they had run a total of 30 miles. Aaron and Beth combined ran 40% of the total distance. Beth and Candace combined ran 34% of the total distance. Candace and John combined ran 40% of the total distance. And John and Pat combined ran 41% of the total distance. How far did each person run? Click here to see answer by stanbon(57953)

 Question 108189: how many liters of a 30% solution must be added to 25 liters of 15% solution to make a solution that is 25% salt? Click here to see answer by edjones(7569)

 Question 108543: Nature's Best wants to combine nuts they sell for \$3.60 a pound with dried fruit they sell for \$2.40 a pound to create a trail mix. How much of each snack should they use to make 10 pounds of trail mix that would sell for \$3.30 a pound? We know the answer is 7.5 pounds of nuts and 2.5 pounds of dried fruit but we cannot come up with the algebraic equation to solve it. Thanks! Click here to see answer by stanbon(57953)

 Question 108929: The Quick Mart has two kinds of nuts. Pecans sell for \$1.55 per pound and walnuts sell for \$1.95 per pound. How many pounds of walnuts must be added to 15 pounds of pecans to make a mixture that sells for \$1.75 per pound? Click here to see answer by stanbon(57953)

 Question 109152: A 5- pound mixture of peanuts and almonds sells for \$15. If the peanuts sell for \$1.50 a pound and the almonds sell for \$4/pound, how many pounds of each type of nut are in the mix. I know that x +y =15 and 1.50x + 4y = 15. But I am unsure of substitution or elimination. I can solve by elimination, but it's not my strongest point, and I am not sure how to even set it up. Click here to see answer by scott8148(6628)

 Question 109296: A researcher orders a broth of 0.3% glucose for her lab. However she needs a stronger broth,one that is 26.4% glucose. Fortunately, she has 69.6 liters of 34.8% glucose broth in the stock room. How much 26.4% glucose broth can she make? I need help with this problem, I believe it is solving for a percent mixture problem. Thanks. Click here to see answer by ankor@dixie-net.com(15746)

 Question 110138: A chemist has 300 millileters (mL) of solution that is 18% acid. How many millileters of acid are in the solution? I am stuck on this one, getting confused with the Millileters and percents. Click here to see answer by stanbon(57953)

 Question 110288: Hi I ran across a problem the other day and I need help to solve it. I need to know the methods, equations and whatever else applies while ansering this question. Well here is the question: A lab assistant needed 20 ounces of a 10% solution of sulfuric acid. If he has 20 ounces of a 15% solution, how much must he draw off and carefully replace with distilled water in order to reduce it to a 10% solution? This is what I need help on and other problems similar to this. Your help would be greatly appreiciated thank you Click here to see answer by scott8148(6628)

 Question 110304: I really need help with this. The radiatr of a jeep that has a capacity of 8 gallons is full with a solution of 10% antifreeze. How much must be drained and replaced by pure antifreeze to obtain a 25% solution? Click here to see answer by wgunther(43)

 Question 111343: Can you please help me with this problem If it is not too much to ask can you please walk me through each step so that I can complete the actual assigned problems. Thank you so much!!!! 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? Thanks again for everything!!! Click here to see answer by scott8148(6628)

 Question 111426: How many quarts of milk containing 4% of butterfat and how many quarts of cream containing 24% of butterfat must be mixed to make 200 quarts of milk containing 12% of butterfat? Click here to see answer by scott8148(6628)

 Question 111511: I am completely clueless to even where I begin. Please help! Solve: George Lucas pioneered the use of digital movie cameras. Assume that his camera has a swappable 80GB hard drive, that it records each pixel in x-bit color, that there are 26 frames recorded per second, and that each frame recorded is in 1600x1200 resolution. a. Create a polynomial function that gives the number of minutes of video that can be recordeed before swapping hard drives as a function of x (the number of bits used to encode the color of each pixel) b. Evaluate this function for x=32 (32-bit true color Click here to see answer by solver91311(17072)

 Question 111609: In a bottling company, a machine can fill a 2-liter (L) bottle in 0.5 second (s) and move the next bottle into place in 0.1 s. How many 2-L bottles can be filled by the machine in 2 h? Click here to see answer by wgunther(43)

 Question 111614: A goldsmith has two alloys that are different purities of gold. The first is three-fourths pure gold and the second is five-twelths pure gold. How many ounces of each should be melted and mixed in order to obtain a 6-oz mixture that is two-thirds pure gold? Click here to see answer by ptaylor(2052)

 Question 112002: The directions on a concentrated cleaner state that 3 tablespoons of concentrate make 345 ounces of cleaning fluid. How many ounces of cleaning fluid will 2 tablespoons of cleaner make? Click here to see answer by BrittanyM(80)

 Question 112017: Estimate: 25.78 + 240.22 + 800.36 + 4.322 + 0.9142 Click here to see answer by checkley71(8403)

 Question 112016: Find a counterexample to the statement “The square of am integer added to the sum of the integer and five is a prime number” Click here to see answer by Edwin McCravy(8999)

 Question 111937: pointing to a man in a photograph,margie said,"his mother's only dughter is my mother".how is margie related to that man. the options are: a]niece b]sister c]nephew d]none of these also justify your answer. Click here to see answer by ankor@dixie-net.com(15746)

 Question 112096: A bricklayer and an eectrician together 90 hours working on a new house. If the bricklayer earns \$12 per hour, the electrician earns \$16 per hour, and the wner pays them a total of \$1350 for their work, how many hours does each worker spend on the house? Click here to see answer by Earlsdon(6294)

 Question 112283: I'm having a problem. Can you help me step by step please.I don't know where to begin. Two cyclists start from the same point and ride in opposite directions. One cyclist rides 4mph faster than the other. In 3 hours the cyclists are 60 miles apart. Find the rate of speed of the slower cyclist. Thankyou Laurie This problem is from a handout and is not from a book Click here to see answer by checkley71(8403)

 Question 112094: A shopper buys 3 oranges and 5 lemons for \$10.26. A second shopper buys 6 oranges and 4 lemons for \$11.16. What is the price of each fruit? Click here to see answer by bucky(2189)

 Question 112275: I'm having a problem with word problems.I don't like them.I get confused on where to start .Can you help me on this one? Please Find the selling price per kilo of a grated cheese mixture made from 6kg og cheese that cost \$10.50 per kilogram and a 15 kilograms of cheese thats \$7.00 per kilogram. Thanks in advance for your help This problem is from a homework handout , its not in the book. Laurie Click here to see answer by ptaylor(2052)

 Question 112478: A merchant mixed 30 lb. of peanuts with 20 lbs of cashews. The 50 lb mixture sells for \$203. A second mixture included 40lb of peanuts and 60 lbs of cashews. The 100 lb mixture sells for \$484. Find the cost per pound of cashews. Click here to see answer by ptaylor(2052)

 Question 112653: Aimee calhoun invested \$12500 part at 7% simple interest and part at 6% simple interest for a period of 1 year. how much was invested at each rate if each account earned the same interest? Click here to see answer by josmiceli(9817)
 Question 112653: Aimee calhoun invested \$12500 part at 7% simple interest and part at 6% simple interest for a period of 1 year. how much was invested at each rate if each account earned the same interest? Click here to see answer by chitra(359)

 Question 113028: i have no idea how to solve this, can someone please help me? a silversmith has two alloys. the first alloy is 28% silver and the second is 60% silver. how many grams of each should be mixed to produce 80 grams of an alloy that is 52% silver? So i should have came up with 2 answers right? stumped! Click here to see answer by Earlsdon(6294)
 Question 113028: i have no idea how to solve this, can someone please help me? a silversmith has two alloys. the first alloy is 28% silver and the second is 60% silver. how many grams of each should be mixed to produce 80 grams of an alloy that is 52% silver? So i should have came up with 2 answers right? stumped! Click here to see answer by josmiceli(9817)

 Question 112735: A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities. Click here to see answer by ankor@dixie-net.com(15746)

 Question 113369: 1.If you add pure alcohol to a 15%alcohol solution, what percent alcohol are you adding, and how do you represent the percentage in decimal form? 2. If 4 gallons of alcohol is added to 2 gallons of a 15% percent solution, what percentage of alcohol is in the mixture? Click here to see answer by checkley71(8403)

 Question 113550: Write each of the following ratios in simplest form: The ratio of 5 3/5 to 2 1/10. My final answer is: 280/50 28/5 = 21/10 then i flip the second fraction to times the first one. 28/5 x 10/21 = 280/50 Is that the right way to do it? Click here to see answer by elima(1433)

 Question 114007: Suppose that one solution is 50% alcohol and another solution is 80% alcohol. HOw many liters of each solution should be mixed to make 10.5 liters of a 70% alcohol solution? Click here to see answer by checkley71(8403)

 Question 114405: Jonathan needs a mixture of 86% oats and 14% corn. He currently has 21 pounds of a mixture of 32% oats. How many pounds of oats should be added to the mixture Click here to see answer by ankor@dixie-net.com(15746)
 Question 114405: Jonathan needs a mixture of 86% oats and 14% corn. He currently has 21 pounds of a mixture of 32% oats. How many pounds of oats should be added to the mixture Click here to see answer by josmiceli(9817)

 Question 114391: A chemist wishes to mix a 10% salt solution with a 2% salt solution to obtain 6 liters of a 4% salt solution. How many liters of each should be added? Click here to see answer by ptaylor(2052)

 Question 114537: Mix a solution that is 70% acid with a solution that is 90% water to make 9L of a solution that is 30% acid. How much of each solution should you use? Click here to see answer by stanbon(57953)

 Question 114508: The perimeter of a rectangular window is 14 ft., and its length is 2 ft. less than twice the width. What are the dimensions of the window? Click here to see answer by checkley71(8403)

 Question 114510: The length of a piece of sheet metal is twice the width. The difference in length and width is 20 in. What are the dimensions? Click here to see answer by checkley71(8403)

 Question 114654: Vectors: The resultant of two forces, one vertical and the other horizontal, is 423 lb. and makes an angle of 34.7 degrees with the horizontal force. Find the component forces. Click here to see answer by stanbon(57953)

 Question 114700: Two cards are drawn at random from a pack of 52 cards.The probability of getting at least a spade and an ace is? Click here to see answer by Edwin McCravy(8999)

 Question 114732: An airplane is flying at 340 mph with a heading of 210 degrees. If a 50 mph wind is blowing from the west, find the actual ground speed and course of the airplane. Click here to see answer by Fombitz(13828)

 Question 114901: How many gallons each of 25% alcohol and 35% alcohol should be mixed to obtain 20 gallons of 32% alcohol? Click here to see answer by checkley71(8403)

 Question 114741: A nurse wants to add water to 30 ounces of a 10% solution of benzalkonium chloride to dilute it to an 8% solution. How much water must she add? Click here to see answer by ankor@dixie-net.com(15746)

 Question 114743: How many liters of 80% alcohol must be added to 10 liters of a 50% solution to obtain a 70% solution? Click here to see answer by ankor@dixie-net.com(15746)

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