4 Set up a system of three equations for this problem. You do NOT need to solve the system. Don't forget to indicate what each variable represents. An American tourist spent a total of 11 days in Spain, Italy, and France. In Spain he spent $50 a day in lodging and $30 a day in food. In Italy he spent $40 a day in lodging and $25 a day in food. In France he spent $45 a day in lodging and $20 a day in food. At the end of her trip, her records show that she spent a total of $480 for lodging and $265 for food. How many days did she spend in each country?

4 Set up a system of three equations for this problem. You do NOT need to solve the system. Don't forget to indicate what each variable represents. An American tourist spent a total of 11 days in Spain, Italy, and France. In Spain he spent $50 a day in lodging and $30 a day in food. In Italy he spent $40 a day in lodging and $25 a day in food. In France he spent $45 a day in lodging and $20 a day in food. At the end of her trip, her records show that she spent a total of $480 for lodging and $265 for food. How many days did she spend in each country?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.1: Systems Of Linear Equations

Problem 83E: Use the system of three equations in three variables to solve each problem. Work schedules A college...

See similar textbooks

Similar questions

Use the system of three equations in three variables to solve each problem. Work schedules A college student earns 198.50 per week working three part-time jobs. Half of his 30-hour work week is spent cooking hamburgers at a fast-food chain, earning 5.70 per hour. In addition, the student earns 6.30 per hour doing janitorial work. How many hours per week does the student work at each job
Use the system of three equations in three variables to solve each problem. Investment income A women invested at 22,000 rollover IRA account in three banks paying 5, 6 and 7 annual interest. She invested 2000 more at 6 than at 5. The total annual interest she earned was 1370. How much did she invest at each rate?
Translate to a system of equations and solve: Anatole needs to make 250 milliliters of a 25% solution of hydrochloric acid for a lab experiment. The lab only has a 10% solution and a 40% solution in the storeroom. How much of the 10% and how much of the 40% solutions should he mix to make the 25% solution?
For a system of two linear equations in two variables, aHow many solutions are possible? bWhat is meant by an inconsistent system? cWhat is meant by a dependent system?
Motherboards A manufacturer produces motherboards and chips for computers. The production line produces 45 items per day, and each motherboard requires two chips the northbridge and the southbridge. a. Using M for the number of motherboards and C for the number of chips, write a system of two equation in two unknowns that determines the number of motherboards and the number of chips that are produced each day. b. How many motherboards and how many chips are produced each day?
In Example 4.28, we used elimination to solve the system of equations {s+b=40,0000.08s+0.03b=0.071( 40,000) . Could you have used substitution or elimination to solve this system? Why?
Translate to a system of equations and then solve: Mario wants to put a fence around the pool in his backyard. Since one side is adjacent to the house, he will only need to fence three sides. There are two long sides and the one shorter side is parallel to the house. He needs 155 feet of fencing to enclose the pool. The length of the long side is 10 feet less than twice the width. Find the length and width of the pool area to be enclosed.
Translate to a system of equations and then solve: Mario wants to put a rectangular fence around the pool in his backyard. Since one side is adjacent to the house, he will only need to fence three sides. There are two long sides and the one shorter side is parallel to the house. He needs 155 feet of fencing to enclose the pool. The length of the long side is 10 feet less than twice the width. Find the length and width of the pool area to be enclosed.
Translate to a system of equations and solve: Sammy has most of the ingredients he needs to make a large batch of chili. The only items he lacks are beans and ground beef. He needs a total of 20 pounds combined of beans and ground beef and has a budget of $3 per pound. The price of beans is $1 per pound and the price of ground beef is $5 per pound. How many pounds of beans and how many pounds of ground beef should he purchase?
Translate to a system of equations and then solve: Erin spent 30 minutes on the rowing machine and 20 minutes lifting weights at the gym and burned 430 calories. During her next visit to the gym she spent 50 minutes on the rowing machine and 10 minutes lifting weights and burned 600 calories. How many calories did she burn for each minutes on the rowing machine? How many calories did she burn for each minute of weight lifting?
When Gloria spent 15 minutes on the elliptical trainer and then did circuit training for 30 minutes, her fitness app says she burned 435 calories. When she spent 30 minutes on the elliptical trainer and 40 minutes circuit training she burned 690 calories. Solve the system {15e+30c=43530e+40c=690 for e, the number of calories she burns for each minute on the elliptical trainer, and c, the number of calories she burns for each minute of circuit training.
Translate to a system of equations and then solve: Alexis wants to build a rectangular dog run in her yard adjacent to her neighbor’s fence. She will use 136 feet of fencing to completely enclose the rectangular dog run. The length of the dog run along the neighbor’s fence will be 16 feet less than twice the width. Find the length and width of the dog run.