Solving using row operations.

1. A building contractor hires 7 carpenters and 2 electricians for one day's payroll of $1,384. If they hired 1 carpenter and 5 electricians, the day's payroll would be $952. What is the daily wage for each type of worker?
2. In order to meet a sales quota, a salesperson must sell 24 products that come in sizes small, medium, and large. The salesperson must sell 3 more small products than medium products, and the same number of medium products as large products. How many of each size must the salesperson sell?
3. A group of nurses decided to hold a bake sale fundraiser to purchase supplies for their hospital kitchen. They sold 30 cakes, 40 pies, and 200 giant cookies and raised $684.50. A pie cost $2 less than a cake, and a cake cost 5 times as much as a giant cookie.
   1. Write the augmented matrix for the system of linear equations.
   2. Solve the system for the cost of each item.