Tutors Answer Your Questions about Mixture Word Problems (FREE)
Question 181371: MX Labs needs to make 500 gallons of a 34% acid solution. The only solutions available are a 25% acid solution and a 50% acid solution. How may gallons of each solution should be mixed to make the 34% solution?
Click here to see answer by Mathtut(3670) |
Question 181372: At the end of the 2000 baseball season, the New York Yankees and the Cincinnati Reds had won a total of 31 World Series. The Yankees had won 5.2 times as many World Series as the Reds. How many World Series did each team win?
Click here to see answer by Mathtut(3670) |
Question 181368: The School is making a healthy trail mix to sell to students during lunch. The mix will have three times the number of pounds of raisins as sunflower seeds. Sunflower seeds cost $4.00 per pound, and raisins cost $1.50 per pound. If the group has $34.00 to spend on the raisins and sunflower seeds, how many pounds of each should they buy?
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 181369: Supplementary angles are two angles whose measures have the sum of 180 degrees. Angles X and Y are supplementary, and the measure of angle X is 24 degrees greater than the measure of angle Y. Find the measures of angles X and Y.
Click here to see answer by edjones(7569)  |
Question 181644: Darla is building a new desk. To make sure she had made a square corner, she measures 9ft. from the corner along one edge and 3 ft. fro mthe corner along the other edge. How long should the diagonal be between those two points if the corner is a right angle? I want to say 12 ft, but I think that is wrong, please help.
Click here to see answer by eperette(173) |
Question 181673: USA Today reported in 1997 that the median starting salary of graduates of Stanford University's business school was $85,000, which was 11% more than it was the year before. What was the median starting salary of the 1996 graduates of Stanford University's business school? Round your answer to the nearest dollar.
Click here to see answer by Mathtut(3670) |
Question 182236: Shelby has two types of iodine in her lab. She has brand 238 iodine, which costs 53 cents per ounce. She also has brand 691 iodine which costs $2.35 an ounce. How many ounces of brand 238 should she use if she has 55 ounces of brand 691 and wants to make a mixture that costs approximately $0.77 per ounce.
Click here to see answer by josmiceli(9697)  |
Question 182196: In the right triangle, find the length of the side not given. Give an exact answer and an approximation to three decimals places. a=14 b=14. What is the exact value of c? What is the value of c approximated to 3 decimal places?
Click here to see answer by Fombitz(13828)  |
Question 182195: Television sets. What does it mean to refer to a 20 in TV st or a 25 in TV set? Such units refer to the diagnal of the screen. A 30 in TV set also has a width of 24 inches. What is its height? The hight of a 30 in TV would be?????? Please help me with this. I understand the measurment of the screen but don't understand how to get the height.
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 182380: Television Sets. What does it mean to refer to a 20-in TV set or a 25-in TV set? Such units refer to the diagonal of the screen. A 30-in TV set also has a width of 24 inches. What is its height?
I understand how to get the diagonal piece, but can’t figure out the height part. I want to say the height would be 24 inches, as most screens are square, but I think that is wrong. Can you please help?
Click here to see answer by nerdybill(6962)  |
Question 182524: Sergio found two jars of lemonade in the refrigerator. The first jar contained 8% lemon juice and was to sour. The second jar contained 4% lemon juice and was not sour enough. To make 4 cups of lemonade with 5% lemon juice, how many cups of lemonade did he take from each jar?
How is there a easy way to figure these type of problems. I just can't understand how to get the second equation other than x+y=? or .08x+.04y=.05
Click here to see answer by stanbon(57384) |
Question 182524: Sergio found two jars of lemonade in the refrigerator. The first jar contained 8% lemon juice and was to sour. The second jar contained 4% lemon juice and was not sour enough. To make 4 cups of lemonade with 5% lemon juice, how many cups of lemonade did he take from each jar?
How is there a easy way to figure these type of problems. I just can't understand how to get the second equation other than x+y=? or .08x+.04y=.05
Click here to see answer by josmiceli(9697)  |
Question 182520: Tim and Judy mix two kinds of feed for pedigree dogs. They wish to make 17 pounds of feed worth $0.22 pound by mixing one kind worth $0.11 per pound with another worth $0.50 per pound. How many pounds of the cheaper kind should they use in the mix?
Click here to see answer by Mathtut(3670) |
Question 182531: Tim and Judy mix two kinds of feed for pedigree dogs. They wish to make 17 pounds of feed worth $0.22 pound by mixing one kind worth $0.11 per pound with another worth $0.50 per pound. How many pounds of the cheaper kind should they use in the mix?
Click here to see answer by Mathtut(3670) |
Question 182725: Soybean meal is 16% protein; cornmeal is 8%. How many pounds of each should be mixed together in order to get 320-lb mixture that is 13% protein?
How many pounds of the cornmeal should be in the mixture?
How many pounds of the soybean meal should be in the mixture?
Click here to see answer by Mathtut(3670) |
Question 182906: A local company makes pigments used to color fabrics, plastics and paints. To ensure the finished product matches the customer’s expectations, pigments of varying strength are blended to obtain what is called a “100% strength” commercial standard. The plant has 5000 pounds of Pigment Red 1 with strength of 123% of the standard, and they also have 17,890 pounds of Pigment Red 1 at 87% strength versus the same commercial standard.
Your boss wants to know how much of the 87% material is needed to blend with the 5000 pounds of the 123% material so that the final strength of the blended material is 100% strength. What do you tell him?
Sometimes he asks you how much of the low strength material is needed to mix with a known amount of high strength pigment, sometimes its how much high to blend with some low. You are tired of him asking you to answer this question for different amounts of material. How could you make it easier for yourself?
Click here to see answer by stanbon(57384) |
Question 182970: In a Mathematics contest, a contestant was awarded 6 points for each correct answer but had 4 points deducted for each incorrect answer.After answering 20 questions, Meina earned 40 points. How many questions did she answer correctly?
(algebra method / Guess and check is not allow)
Click here to see answer by nerdybill(6962)  |
Question 183089: 1.moonshine has 50 liters of a 70% alcohol solution.how many liters of pure alcohol must be added to obtain an 80% alcohol solution
2.how many kg of pure salt must be added to 20 kg of a 10% salt solution to obtain a 25% salt solution
3. how much pure acid must be added to 6 ml of a 5% acid solution to produce a 40% acid solution?
Click here to see answer by stanbon(57384) |
Question 183532: Car rental agency A will rent a compact car for $35 per day and an additional charge of $.24 per mile. Car rental agency B will charge only $.16 per mile but charges $41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agancy B a beter bargain?
Click here to see answer by checkley77(12569) |
Question 183534: The problem I am stuck on is the one listed below:
Find a counter example to the statement " the square of a number added to the sum of the number and five is a prime number".
Please help me to understand and work out this problem correctly.
Click here to see answer by stanbon(57384) |
Question 183884: A landscaper wants to combine golden landscape rock with rust-colored landscape rock to make a mix. The golden rock costs $0.59 per pound and the rust-colored rock cost $0.49 per pound. If the landscaper buys 90 pounds of the mixture costing a total of $48.60, how much of the golden rock did he buy?
Click here to see answer by tvandenberg(45) |
Question 183924: An empty swimming pool can be filled in 10 hours with the Honda engine, and the other engine will fill the same swimming pool in 19 hours. How long will it take to fill the pool if both engines are left open?
Click here to see answer by edjones(7569)  |
Question 184025: I have a word problem that I cannot figure out.
Problem is:
The Nature Center sells bird seed for 75 cents per pound and sunflower seed for $1.10 per pound. To the nearest pound, how many pounds of sunflower seed should be used to create a 50-pound mixture that sells for $0.90 per pound.
I have tried the following: 1.10x+.75x = .90(50) and 1.10x+.75x = .90(50+2x).
The first one came close to the answer but still not the answer.
Thank you,
Rodney Clifton
Click here to see answer by stanbon(57384) |
Question 184199: This is a teacher generated question.
How many liters of a 30% alcohol solution must be mixed with 80 liters of a 80% solution to get a 40% solution.
I've tried the following, but I'm not sure it's right at all.
a+b=80L
30a+80b=3200
Multiply by -30 to use the elimination format, this give you:
-30a - 30b = -2400L
30a + 80b = 3200L
50b = 800
b=16L, which makes a = 64L
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 184199: This is a teacher generated question.
How many liters of a 30% alcohol solution must be mixed with 80 liters of a 80% solution to get a 40% solution.
I've tried the following, but I'm not sure it's right at all.
a+b=80L
30a+80b=3200
Multiply by -30 to use the elimination format, this give you:
-30a - 30b = -2400L
30a + 80b = 3200L
50b = 800
b=16L, which makes a = 64L
Click here to see answer by ptaylor(2048)  |
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