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Glossy Furniture International wishes to produce three types of arm chair; Delia, Duresta and Sophie. In order to manufacture these chairs, a Delia chair requires 3 hours on Department A, I hour on Department B and 2 hours on Department C. A Duresta sofa requires I hour on Department A and 2 hours on Department B. A Sophie chair requires 2 hours on Department A, I hour on Department B and I hour on Department C. There are 850 hours available in Department A, 1200 hours available on Department B and 550 hours available on Department C. How many chairs of each type should Glossy Furniture International produce in order to use all the available time? (Hint: Let x be Delia chair, y be Duresta chair and z be Sophie chair).

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Abu bought two pencils and three erasers for RM 2.90. The next day, he bought five pencils and nine erasers for RM 8.00. Let x be the price for a pencil and y an eraser respectively. Solve the system of linear equations.

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Mr. X invested a par of his investment in 10% bond A and a part in 15% bond B. His interest income during the first year is Rs 4,000. If he invests 20% more in10% bond A and 10 % more in 15% bond B, his income during the second year increases by Rs 500. Find his initial investment and the new investment in bonds A and B using matrix method

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The Waputi Indians make woven blankets, rugs and skirts. Each blanket requires 24 hours for spinning the yarn, 4 hours for dyeing and 15 hours for weaving. Rugs require 30,5 and 18 hours and skirts 12,3 and 9 hours, respectively. If there are 306, 59 and 201 hours available for spinning, dyeing and weaving, respectively, how many of each item can be made?

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Lawnco produces three grades of commercial fertilizers. A 100-lb bag of grade-A fertilizer contains 18 lbs of nitrogen, 4 lbs of phosphate, and 5 lbs of potassium. A 100-lb bag of grade-B fertilizer contains 20 lbs of nitrogen and 4 lbs each of phosphate and potassium. A 100-lb bag of grade-C fertilizer contains 24 lbs of nitrogen, 3 lbs of phosphate, and 6 lbs of potassium. How many 100-lb bags of each of the three grades of fertilizers should Lawnco produce if 26,400 lbs of nitrogen, 4900 lbs of phosphate, and 6200 lbs of potassium are available and all the nutrients are used?

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The management of Hartman
Rent-A-Car has allocated $1.5 million to buy a fleet of new automobiles consisting of compact, intermediate-size, and full-size cars. Compacts cost $12,000 each, intermediate size cars cost $18,000 each, and full-size cars cost $24,000 each. If Hartman purchases twice as many compacts as intermediate-size cars and the total number of cars to be purchased is 100, determine how many cars of each type will be purchased.
(Assume that the entire budget will be used.)

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On the semester break and holiday, many people celebrate the great time with their families or friends to watch a local movie in cinema. The ticket’s price divided into 2 groups based on ages which are RM16 cost for age of (13 or above) and RM13 cost for age of (under 13). At one performance of a comedy movie was attended by 500 people, with the total revenue represented RM7.790. How many tickets of each groups of age were sold?

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Wildcat Oil Company has two refineries, one located in Houston and the other in Tulsa. The Houston refinery ships 60% of its petroleum to a Chicago
distributor and 40% of its petroleum to a Los Angeles distributor. The Tulsa refinery ships 30% of its petroleum to
the Chicago distributor and 70% of its petroleum to the Los
Angeles distributor. Assume that, over the year, the
Chicago distributor received 240,000 gal of petroleum and
the Los Angeles distributor received 460,000 gal of petroleum. Find the amount of petroleum produced at each of
Wildcat’s refineries

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A total of $6,300 is invested in two accounts. Some are invested in CDs with an annual interest rate of 4.5%, and some are invested in money market funds with an annual interest rate of 3.7%. If the total simple interest for a year is 267.75 USD, how much is invested in each account?

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The cost of a ticket to the circus is $25.00 for children and $50.00 for adults. On a certain day, attendance at the circus is 2,000 and the total gate revenue is $70,000. How many children and how many adults bought tickets?

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A nut distributor wants to know the nutritional content of various mixtures of almonds and cashews. Her supplier has provided the following nutrition information: Almonds contain 26.2(g/cup) protein, 40.2(g/cup) carbs and 71.9 (g/cup)fat .Cashews has 21(g/cup) protein, 44.8(g/cup) carb and 63.5 (g/cup)fat. Her first mixture, Mixture 1, consists of 6 cups of almonds and 3 cups of cashews.  Mixture 2, consists of 3 cups of almonds and 6 cups of cashews. Determine the amount of protein, carbs, and fats in a 1 cup serving of each of the mixtures

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In a rectangle, the length is increased and breadth reduced each by 2 units, the area is reduced by 28 square units. However, the length is reduced by 1 unit and the breadth increased by 2 units, the area increases by 33 square unis. Find the area of the rectangle.

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Ace Novelty wishes to produce three types of souvenirs: types A, B, and C. To manufacture a type-A souvenir requires 2 minutes on machine I, 1 minute on machine II, and 2 minutes on machine III. A type-B souvenir requires 1 minute on machine I, 3 minutes on machine II, and 1 minute on machine III. A type-C souvenir requires 1 minute on machine I and 2 minutes each on machines II and III. There are 3 hours available on machine I, 5 hours available on machine II, and 4 hours available on machine III for processing the order. How many souvenirs of each type should Ace Novelty make in order to use all of the available time?

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Jasmine wants to use milk and orange juice to increase
the amount of calcium and vitamin A in her daily diet. An ounce of milk contains 37 milligrams of calcium and 57 micrograms* of vitamin A. An ounce of orange juice contains 5 milligrams of calcium and 65 micrograms of vitamin A. How
many ounces of milk and orange juice should Jasmine drink each day to provide exactly 500 milligrams of calcium and 1,200 micrograms of vitamin A?