To solve this question, we need to find the least common multiple (LCM) of the capacities of the rice, mayonnaise, meat, and pasta trays. The LCM is the smallest number that is a multiple of all the given numbers. 1. Find the prime factors of the given numbers: - Rice (3): 3 - Mayonnaise (4): 2² - Meat (5): 5 - Pasta (6): 2 * 3 2. Find the LCM using the prime factors: - LCM(3, 4, 5, 6) = 2² * 3 * 5 - LCM(3, 4, 5, 6) = 4 * 3 * 5 - LCM(3, 4, 5, 6) = 60 3. Multiply the LCM by 2, as the number of guests can be a multiple of the LCM: - 60 * 2 = 120 Now, analyze the given alternatives and check if any of them corresponds to the possible number of guests, which is the LCM found or its multiple. - 144: is not a multiple of 60 - 150: is not a multiple of 60 - 200: is not a multiple of 60 - 90: is not a multiple of 60 - 120: is a multiple of 60 (120 = 60 * 2) Therefore, the correct answer is "120".