The owners of River View Bakery have hired enough servers to handle 17 tables of customers, and the fire marshal has approved the restaurant for a limit of 56 customers. The owners need to purchase two-seat and four-seat tables to accommodate the customers.
1.1. Write a system of equations to illustrate the situation. Use x for the two-seat tables and y for the four-seat tables. 2.2. Use the system of equations from number 1 and solve using the substitution method to determine how many of each type of table should be purchased. Explain or show work for all steps used to solve the problem. The River View Bakery is making peanut butter cookies and loaves of quick bread. The preparation and baking times for each are given in the table below.
| || Cookies |
| Bread |
| Preparation || 20 min || 10 min |
| Baking || 10 min || 30 min |
For these two items the owners have allotted 800 minutes of preparation time and 900 minutes of baking time. 3.3. Write a system of equations to illustrate the situation. Use x for the number of batches of cookies and y for the loaves of bread. 4. Use the system of equations from number 3 and solve using the elimination method to determine how many batches of cookies and how many loaves of bread will be baked. Explain or show work for all steps used to solve the problem.