We have both been playing a classic video game titled ‘Baldur’s Gate’. In the game, you select your character type, wander around the world, collect items and weapons, and save the world. At this point, we are pretty good at it, but one of us claims our main character is better: he has slain a total of 560 evil monsters consisting of trolls, orcs, evil sorcerers. In total, he has had to strike them with his magic staff 620 times. Evil sorcerers and trolls each require two strikes, while an orc requires only one strike. Evil sorcerers are more rare than trolls, so he has slain five times as many trolls as sorcerers.   How many of each villain has he slain?

A company produces three types of bookcases: Standard, Deluxe, and Premium. Each bookcase must be sanded, assembled and painted. The Standard model requires 1 hour to sand, 2 hours to assemble, and 1 hour to paint. The Deluxe model requires 2 hours to sand, 3 hours to assemble and 1 hour to paint. The Premium model requires 1 hour to sand, 4 hours to assemble and 2 hours to paint. There are 170 hours available for sanding, 320 hours for assembling and 130 hours for painting. How many of each product can be made? Solve using cramers rule. a. wriite the system of equations for this information. identify variables  b. write and label each of the four determinants, do not evaluate. c. solve for only the first variable in the system. use co-factors and minors to solve the d determinant. label the answer

An application runs two different types of advertisements, "long ads" and "short ads". A long ad costs a company 25 cents each time it is run and a short ad costs a company 17 cents each time it is run. If an advertiser ran a total of 492 long and short ads and it cost them $107.64, how many long ads did they run?

Mr.and Mrs. Jack Sear own and operate Electronics City, a small electronics store. Jack Sear worked in the store as a child and while in college. Afterwards, he slowly took over the business from his parents as they retired and moved to Florida. Jack, his wife, Harriett, their three children, one full-time, and one part-time employee run the business. The store carries a large assortment of electronic parts, small electronic gadgets, cell phones, and computer tablets. Most of the year, during the week, it is rather quiet. Except during the three nights they are open and on Saturday, in which there is a steady stream of customers. At those busy times, everyone works, Jack, Harriet, the three children, the full-time employee and the part-time employee. The store is open 6 days a week, except Mondays. During the Christmas season, from Thanksgiving weekend until Christmas, records show that they average a total of 12,000 customers. However, during the Thanksgiving weekend and…