查看完整版本: 求解 - 加拿大Grade 7 Enhanced Program 数学题

zxwy 2008-11-11 08:39

求解 - 加拿大Grade 7 Enhanced Program 数学题

The Mother's Day Birthday Puzzle

Rosalie's little brother Connor was born on May 11, 1997,which was Mother's Day. Mother's Day is the second Sunday of May every year.
By the time he is 80, how many times will Connor's birthday have been on Mother's Day?


[tt36] [tt15] [tt35] [tt41].

zxwy 2008-11-11 21:01

No one answer?

ding.

GerryBB 2008-11-11 21:59

看了头昏啊!H爸上来帮忙!

偶要先学蝌蚪文,心里慌慌:L :L :L.

PATTISON 2008-11-11 22:30

[tt8] [tt1] [tt2] [tt0] [tt4] [tt16]
I solved it!!!!!!!
It will happen 13 times in his whole miserable life[tt38]
we found the pattern of adding 6 then 11 then 6 then 5 then 6 then 11 then 6 then 5 then 6 and so on tothe original year that he was born in.[tt1] [tt1] [tt1] [tt1] [tt17] [tt37]

Carl[tt26]
[tt23].

PATTISON 2008-11-11 22:34

sorry, I got it wrong!!!![tt23]

I thought he would be breathing as long as 85 years,but he will only breath for 80 years.[tt5]

well, 12 then!!!
12 is the answer

hoping it's correct,
carl
[tt23] [tt23] [tt6] [tt8] [tt3] [tt10] [tt7] [tt1] [tt11] [tt2] [tt0] [tt9] [tt4] [tt21] [tt19] [tt16] [tt15] [tt13].

echooooo 2008-11-11 22:47

As we know,there are 365  or 366 days every year.
365/7=52...1, 366/7=52...2
It means 2 days earlier each 4 years
Then the circle is 28 years,he has 4 chances
80/28=2...24
And there 4 chances also at his last 24 years
Totaly 12

[color=red]sunday[/color] on May 11 [color=red]1997[/color],age 1
monday on May 11 1998,age 2
tuesday on May 11, 1999,age 3
thursday on May 11, 2000,age 4
friday on May 11, 2001,age 5
saturday on May 11, 2002,age 6
[color=red]sunday[/color] on May 11, [color=red]2003[/color],age 7
tuesday on May 11, 2004,age 8
wednesday on May 11, 2005,age 9
thursday on May 11, 2006,age 10
friday on May 11, 2007,age 11
[color=red]sunday[/color] on May 11, [color=red]2008[/color],age 12
monday on May 11, 2009,age 13
tuesday on May 11, 2010,age 14
wednesday on May 11, 2011,age 15
friday on May 11, 2012,age 16
saturday on May 11, 2013,age 17
[color=red]sunday[/color] on May 11, [color=red]2014[/color],age 18
monday on May 11, 2015,age 19
wednesday on May 11, 2016,age 20
thursday on May 11, 2017,age 21
friday on May 11, 2018,age 22
saturday on May 11, 2019,age 23
monday on May 11, 2020,age 24
tueday on May 11, 2021,age 25
wednesday on May 11, 2022,age 26
thursday on May 11, 2023,age 27
saturday on May 11, 2024,age 28
[color=magenta]sunday[/color] on May 11, [color=magenta]2025[/color],age 29.

echooooo 2008-11-11 22:55

蝌蚪文害死人耶:L.

zxwy 2008-11-12 08:24

thanks guys,but is there any other way to solve it instead of counting every year?

btw,the answer is 12[tt39].

echooooo 2008-11-12 08:50

Counting every year is just to check and confirm.
Fortunately,the year 2000 has also 366 days.
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