If the person bought x organic and y conventional bananas, he spent 70x + 60y cents. From Statement 1, we know 70x + 60y = 560, so 7x + 6y = 56. Here 7x and 56 are both divisible by 7, so 6y must be too (if it's not clear why, we can rewrite the equation 6y = 56 - 7x, and now since the right side is clearly divisible by 7, the left must be also), and y must be 7 (if y were 14 or larger, 7x + 6y would be bigger than 56). If we can find y, we can find x and answer the question, so Statement 1 is sufficient. Statement 2 is clearly insufficient alone, so the answer is A.