For the following exercises, set up the augmented matrix that describes the situation, and solve for the desired solution.
60. A bag of mixed nuts contains cashews, pistachios, and almonds. There are 1,000 total nuts in the bag, and there are 100 less almonds than pistachios. The cashews weigh 3 g, pistachios weigh 4 g, and almonds weigh 5 g. If the bag weighs 3.7 kg, find out how many of each type of nut is in the bag.
Trending nowThis is a popular solution!
Chapter 7 Solutions
College Algebra By Openstax
Additional Math Textbook Solutions
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
Algebra and Trigonometry
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
Algebra and Trigonometry (6th Edition)
College Algebra (5th Edition)
Elementary Algebra: Concepts and Applications (10th Edition)
- For the following exercises, set up the augmented matrix that describes the situation, and solve for the desired solution. 61. A bag of mixed nuts contains cashews, pistachios, and almonds. Originally there were 900 nuts in the bag. 30% of the almonds, 20% of the cashews, and 10% of the pistachios were eaten, and now there are 770 nuts left in the bag. Originally, there were 100 more cashews than almonds. Figure out how many of each type of nut was in the bag to begin with.arrow_forwardFor the following exercises, set up the augmented matrix that describes the situation, and solve for the desired solution. 58. The three most popular ice cream flavors are chocolate, strawberry, and vanilla, comprising 83% of the flavors sold at an ice cream shop. If vanilla sells 1% more than twice strawberry, and chocolate sells 11% more than vanilla, how much of the total ice cream consumption are the vanilla, chocolate, and strawberry flavors?arrow_forwardFor the following exercises, set up the augmented matrix that describes the situation, and solve for the desired solution. 53. At a competing cupcake store, $4,520 worth of cupcakes are sold daily. The chocolate cupcakes cost $2.25 and the red velvet cupcakes cost $1.75. If the total number of cupcakes sold per day is 2,200, how many of each flavor are sold each day?arrow_forward
- For the following exercises, set up the augmented matrix that describes the situation, and solve for the desired solution. 59. At an ice cream shop, three flavors are increasing in demand. Last year, banana, pumpkin, and rocky road ice cream made up 12% of total ice cream sales. This year, the same three ice creams made up 16.9% of ice cream sales. The rocky road sales doubled, the banana sales increased by 50%, and the pumpkin sales increased by 20%. If the rocky road ice cream had one less percent of sales than the banana ice cream, find out the percentage of ice cream sales each individual ice cream made last year.arrow_forwardFor the following exercises, set up the augmented matrix that describes the situation, and solve for the desired solution. 52. Every day, a cupcake store sells 5,000 cupcakes in chocolate and vanilla flavors. If the chocolate flavor is 3 times as popular as the vanilla flavor, how many of each cupcake sell per day?arrow_forwardWrite the system of equations that that corresponds to the augmented matrix. 200. [2113|42]arrow_forward
- What is a system of linear equations in the variables x, y, and z?arrow_forwardFor the following exercises, set up the augmented matrix that describes the situation, and solve for the desired solution. 57. A major appliance store is considering purchasing vacuums from a small manufacturer. The store would be able to purchase the vacuums for $86 each, with a delivery fee of $9,200, regardless of how many vacuums are sold. If the store needs to start seeing a profit after 230 units are sold, how much should they charge for the vacuums?arrow_forwardFor the following exercises, write the augmented matrix from the system of linear equations. 4x+2y3z=1412x+3y+z=1009x6y+2z=31arrow_forward
- For the following exercises, set up the augmented matrix that describes the situation, and solve for the desired solution. 55. You invested $2,300 into account 1, and $2,700 into account 2. If the total amount of interest after one year is $254, and account 2 has 1.5 times the interest rate of account 1, what are the interest rates? Assume simple interest rates.arrow_forwardSolve for x and y in the matrix equation 2AB=I, given A=[1123] and B=[x2y5].arrow_forwardFor the following exercises, write a system of equations that represents the situation. Then, solve the system using the inverse of a matrix. 54. A food drive collected two different types of canned goods, green beans and kidney beans. The total number of collected cans was 350 and the total weight of all donated food was 348 1b, 12 oz. If the green bean cans weigh 2 oz less than the kidney bean cans, how many of each can was donated?arrow_forward
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning