A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many U apples did each person get before 45 people joined the feast? Choose the correct choice:
A) 20 .  B) 21 .  C) 22 .  D) 23 .  E) 24 .

Rationale: "before solving it algebraically , let us prime factorize 1430 = 2 * 5 * 11 * 13 . since number of apples per person * total persons u = 1430 , the answer should be a factor of 1430 . only c is . and that ' s your answer . c"
Answer: C