Answer:
Explanation:
nitially, the mound had g pounds of gravel. Throughout the day, 200 pounds were added, resulting in g + 200 pounds. After selling two orders of 600 pounds each, the mound's weight decreased to g + 200 - 2 * 600 = g - 1000 pounds. The given information forms this equation: g - 1000 = 1000. Solving for g yields g = 2000 pounds, which is the initial weight. At the beginning of the day, there were g pounds of gravel in the mound. Throughout the day, 200 pounds were added, making the total g + 200 pounds. Two orders of 600 pounds each were sold, leading to a deduction of 2 * 600 = 1200 pounds. This resulted in a final weight of g + 200 - 1200 = g - 1000 pounds. According to the problem, the mound's final weight was 1,000 pounds. Thus, the equation becomes g - 1000 = 1000, and by solving for g, we find that g = 2000 pounds. This reveals the initial weight of the mound.Solving linear equations involving unknowns is a fundamental concept in algebra. In this problem, the equation g - 1000 = 1000 is formed based on the information given about the changes in the mound's weight. By isolating the variable g, we can determine its initial value, which represents the original weight of the gravel mound.