For the following exercise, create a system of linear equations to describe the behavior. Then, solve the system for all solutions using Cramer’s Rule.
57. You decide to paint your kitchen green. You create the color of paint by mixing yellow and blue paints. You cannot remember how many gallons of each color went into your mix, but you know there were 10 gal total. Additionally, you kept your receipt, and know the total amount spent was $29.50. If each gallon of yellow costs $2.59, and each gallon of blue costs $3.19, how many gallons of each color go into your green mix?
Want to see the full answer?
Check out a sample textbook solutionChapter 11 Solutions
Algebra and Trigonometry
Additional Math Textbook Solutions
Introductory Statistics
University Calculus: Early Transcendentals (4th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Calculus: Early Transcendentals (2nd Edition)
- For the following exercise, determine whether the ordered pair is a solution to the system of equations. 3xy=4 x+4y=3 and (1,1)arrow_forwardFor the following exercise, create a system of linear equations to describe the behavior. Then, solve the system for all solutions using Cramer’s Rule. 56. A concert venue sells single tickets for $40 each and couple's tickets for $65. If the total revenue was $18,090 and the 321 tickets were sold, how many single tickets and how many couple's tickets were sold?arrow_forwardFor the following exercise, create a system of linear equations to describe the behavior. Then, solve the system for all solutions using Cramer’s Rule. 58. You sold two types of scarves at a farmers' market and would like to know which one was more popular. The total number of scarves sold was 56, the yellow scarf cost $10, and the purple scarf cost $11. If you had total revenue of $583, how many yellow scarves and how many purple scarves were sold?arrow_forward
- For the following exercise, create a system of linear equations to describe the behavior. Then, solve the system for all solutions using Cramer’s Rule. 55. A movie theater needs to know how many adult tickets and children tickets were sold out of the 1,200 total tickets. If children's tickets are $5.95, adult tickets are $11.15, and the total amount of revenue was $12,756, how many children's tickets and adult tickets were sold?arrow_forwardFor the following exercises, use a system of linear equations with two variables and two equations to solve. 72. If an investor invests a total of $25,000 into two bonds, one that pays 3% simple interest, and the other that pays 278 interest, and the investor earns $737.50 annual interest, how much was invested in each account?arrow_forwardFor the following exercise, create a system of linear equations to describe the behavior. Then, solve the system for all solutions using Cramer’s Rule. 61. At the same market, the three most popular fruits make up 37% of the total fruit sold. Strawberries sell twice as much as oranges, and kiwis sell one more percentage point than oranges. For each fruit, find the percentage of total fruit sold.arrow_forward
- For the following exercises, use a system of linear equations with two variables and two equations to solve. 73. If an investor invests $23,000 into two bonds, one that pays 4% in simple interest, and the other paying 2% simple interest, and the investor earns $710.00 annual interest, how much was invested in each account?arrow_forwardFor the following exercises, use a system of linear equations with two variables and two equations to solve. 77. Admission into an amusement park for 4 children and 2 adults is $116.90. For 6 children and 3 adults, the admission is $175.35. Assuming a different price for children and adults, what is the price of the child's ticket and the price of the adult ticket?arrow_forwardFor the following exercise, create a system of linear equations to describe the behavior. Then, solve the system for all solutions using Cramer’s Rule. 59. Your garden produced two types of tomatoes, one green and one red. The red weigh 10 oz., and the green weigh 4 oz. You have 30 tomatoes, and a total weight of 13 1b, 14 oz. How many of each type of tomato do you have?arrow_forward
- For the following exercise, create a system of linear equations to describe the behavior. Then, solve the system for all solutions using Cramer’s Rule. 63. A movie theatre sold tickets to three movies. The tickets to the first movie were $5, the tickets to the second movie were $11, and the third movie was $12. 100 tickets were sold to the first movie. The total number of tickets sold was 642, for a total revenue of $6,774. How many tickets for each movie were sold?arrow_forwardFor the following exercises, use a system of linear equations with two variables and two equations to solve. 67. There were 130 faculty at a conference. If there were 18 more women than men attending, how many of each gender attended the conference?arrow_forwardTranslate to a system of equations and then solve: Charlie left his mother’s house traveling at an average speed of 36 miles per hour. His sister Sally left 15 minutes (1/4 hour) later traveling the same route at an average speed of 42 miles per hour. How long before Sally catches up to Charlie?arrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning