有一堆巧克力,大約是80顆~100顆,不論是5顆一數還是8顆一數,都剩下3顆,這堆巧克力有幾顆?

2017-09-12 7:01 pm

回答 (2)

2017-09-12 9:06 pm
5的倍數加3,個位必是3或8,巧克力數量為80-100顆,試較接近答案的8的倍數的數,例如8x10加3為83,符合題目要求。這堆巧克力有83顆。
2017-09-12 8:04 pm
有一堆巧克力,大約是80顆~100顆,不論是5顆一數還是8顆一數,都剩下3顆,這堆巧克力有幾顆?
Sol
5顆一數剩下3顆
=>3,8,13,18,23,28,33,38,43,48,53,58,63,68,73,
78,83,88,93,98
大約是80顆~100顆
=>83,88,93,98…………..(1)
8顆一數剩下3顆
=>3,11,19,27,35,43,51,59,67,75,83,91,99
大約是80顆~100顆
=>83,91,99……………..(2)
綜合(1),(2)
剩下83
or
x/5=_______.....3
x/8=_______......3
=>
(x-3)/5=_______
(x-3)/8=_______
[5,8]|(x-3)
40|(x-3)
x-3=40p
x=40p+3
80<=x<=100
80<=40p+3<=100
77<=40p<=97
1.925<=p<=2.425
2<=p<=2
p=2
x=83


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