We are given the data that David has been reimbursed with $3390 driving 600 miles and his expenses are $60 a day for food and lodging and $0.65 per mile. The equation is 3390 = 60 x + 0.65 * 600 = 60 x +390 where x is the number of days. To determine x, we transpose 390 to the other side and divide the equation by 60. x is equal to 50 days.