急!用英文問的數學題?

2015-08-25 8:33 am
1.80 toy cars and 64 teddy bears are shared evenly among some children.Each children gets the same numbers of toy cars and teddy bears as the others.What is maximum number of children?

2.In a ferry pier,ferries set off for islands A,B,and C
every25,45 and 75 minutes respectively.At 10:00a.m.,ferries set off from the pier for all the three islands.When will the set off again at the same time if the ferry services and at 11:00 p.m. every day?List all the possible cases.

如有式請列

回答 (1)

2015-08-25 8:45 am
✔ 最佳答案
1.
80 = 2⁴ × 5
64 = 2⁶

H.C.F. of 80 and 64 = 2⁴ = 16
The maximum number of children = 16


2.
25 = 5²
45 = 3² × 5
75 = 3 × 5²

L.C.M. = 3² × 5² = 225
The ferries set off at the same time for every 225 min period.
225 min = 3 h 45 min

The ferries set off at the same time :
10:00a.m. 1:45p.m. 5:30p.m. 9:15p.m.


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