A bank loans $285,000 to a development company to purchase three real estate properties. If one of the properties costs $45,000 more than the other and the third costs twice the sum of the other two properties, set up a system of equations and solve it to find the cost of each property. An instructor wants to create an exam with T/F questions, multiple choice questions, and short answer questions. The exam should contain 35 questions all together, with twice as many multiple choice questions as short answer questions, and with twice as many T/F questions as multiple choice questions. How many of each type of question are there? A company offers three investment plans for its employees. Plan A consists of 14 blocks of common stock, 4 bonds, and 6 blocks of preferred stock. Plan B consists of 4 blocks of common stock and 2 bonds. Plan C consists of 18 blocks of common stock, 6 bonds, and 6 blocks of preferred stock. If an employee wants to combine plans to get 58 blocks of common stock, 20 bonds, and 18 blocks of preferred stock, how many units of each plan is needed?