可否幫忙解答以下 H.C.F. 題

男生 48人 = 24人 X 2
女生 72人 = 24人 X 3

答: 每隊24人,共可分成5隊

2006-10-26 11:28:05 補充：
題目是: (現把男女生 各分 為若干隊)字面上是: 男生及女生各自組隊 而 不是 男女混合組隊

The H.C.F of 48 and 72 is 24

Therefore there are 24 teams,

Each team contains 48/24=2 boys and 72/24=3 girls

=> 5 people

Therefore:

每隊最多有5人

共可分成24隊

2006-10-26 04:22:57 補充：
Yes, the answer can be 每隊最多有24人, 共可分成5隊This is a tricky question. Look at the question again: 每隊人數要相同, we only need to consider the same number of people is every team, we do not need to consider the same number of boys and girls at all

2006-10-26 04:23:14 補充：
So therefore as long as each team as the same number of people, then it is rightsince 24 is the HCF of 24 and 72, the reminders are 3 and 2 =>5so each team has 24 people, there are 5 teams