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Kambing & Manusia

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Kambing & Manusia

Post by Cikgu X on Thu May 07, 2009 1:45 pm

Di padang...
kepala kambing & manusia = 20
Bilangan kaki kambing & manusia = 50.
Berapa ekor kambing?

*ini bukan teka-teki tp matematik. Cuba jawab...

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Re: Kambing & Manusia

Post by Cikgu X on Fri May 08, 2009 12:16 am

ada sesiapa yg ingin cuba jawab soalan ini? Tunjukkan jalan pengiraan.

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Re: Kambing & Manusia

Post by Cikgu X on Sun May 10, 2009 6:09 pm

masih belum ada yg berani mencuba...

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Re: Kambing & Manusia

Post by Idz on Sun May 10, 2009 7:30 pm

Diandaikan semua kambing dan manusia adalah dilahirkan normal.
Jika K = kambing, M = manusia dan KK = kepala kambing, KM = kepala manusia, maka bilangan kambing yang boleh berada di atas padang bersama manusia adalah :

50 [KK + KM] = 20 [K+M]
20 KK + 30 KM = 5 K + 15 M

Oleh sebab itu: Jawapan 5 ekor kambing di padang.
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Re: Kambing & Manusia

Post by Cikgu X on Sun May 10, 2009 9:14 pm

betul cikgu... Very Happy

Di padang...
kepala kambing & manusia = 20
Bilangan kaki kambing & manusia = 50.
Berapa ekor kambing?


untuk lebih jelas, begini...
kepala kambing + kepala manusia = 20 ...........(1)
kambing & manusia masing2 mempunyai 1 kepala
maka, dari (1);
1 kambing + 1 manusia = 20 .........................(2)
* 1 kambing bermaksud kambing mempunyai 1 kepala & 1 manusia bermaksud manusia mempunyai 1 kepala

kaki kambing + kaki manusia = 50 ..................(3)
tapi, kambing ada 4 kaki & manusia 2 kaki
maka, dari (3) di atas;
4 kambing + 2 manusia = 50 .........................(4)
* 4 kambing bermaksud kambing mempunyai 4 kaki & 2 manusia bermaksud manusia mempunyai 2 kaki

persamaan (4) tolak persamaan (2);
(4 kambing - 1 kambing) + (2 manusia - 1 manusia) = 50 - 20
3 kambing + 1 manusia = 30
maka, 1 manusia = 30 - 3 kambing
bermakna 1 manusia bersamaan dgn (30-3 kambing)

masukkan dlm persamaan (2);
1 kambing + 1 manusia = 20
1 kambing + (30-3 kambing) = 20
1 kambing + 30 - 3 kambing = 20
30 - 20 = 3 kambing - 1 kambing
10 = 2 kambing
bermakna, kambing = 10/2 = 5 ekor #

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Re: Kambing & Manusia

Post by Cikgu X on Sun May 10, 2009 9:39 pm

tapi, ini yg lebih ringkas...

Di padang...
kepala kambing & manusia = 20
Bilangan kaki kambing & manusia = 50.
Berapa ekor kambing?


berapa shj bilangan kaki & kepala (kambing & manusia), jumlah kambing & manusia tetap 20. Sebab itu, jika kira bilangan kaki, jumlah kambing & manusia tetap 20. Kalau kira bilangan kepala pula, jumlah kambing & manusia tetap juga 20.

maka,

kaki kambing + manusia = 50
kita tahu kambing mempunyai 1 kepala & 4 kaki, manusia 1 kepala & 2 kaki
katalah k = kambing, m = manusia
4k + 2m = 50
ringkaskan --> 2k + m = 25 (semua telah dibahagi 2)
maka, m = 25 - 2k

kepala kambing + manusia = 20
1k + 1m = 20
masukkan nilai m = 25 - 2k
1k + (25 - 2k) = 20
1k + 25 - 2k = 20
1k - 2k = 20 - 25
-1k = -5
k = 5 ekor # Smile

* anda mesti boleh berfikir secara lojik utk selesaikan masalah matematik spt ini. Tanam minat kpd matematik & banyakkan latihan, anda akan dgn mudah dpt 'menguasai' matematik. Selamat belajar.

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Re: Kambing & Manusia

Post by Idz on Mon May 11, 2009 1:48 am

betul tu cikgu x... saya gunakan cara no. 2...

menyelesaikan persamaan serentak dalam add maths dah lama tak praktik maklumlah mengajar sekolah rendah... namun sekali sekala asah balik ingatan yang mungkin dah berkarat ni... hehehe..

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Re: Kambing & Manusia

Post by Cikgu Edy on Mon May 11, 2009 1:54 pm

Mana murid-murid ni... ? Laughing Mungkin semakin sedang keliru...

walaupun nampak mudah, namun untuk memasukkan dalam bentuk matematik sebenarnya agak mengelirukan juga soalan ini.. oleh itu, konsep matematik hendaklah mantap....

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Re: Kambing & Manusia

Post by Cikgu X on Mon May 11, 2009 4:41 pm

ya, math sebenarnya satu subjek yg menyeronokkan... banyak latihan maka lebih mudah difahami.. paling mudah dpt 100% tp paling mudah juga dpt 0%...

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Re: Kambing & Manusia

Post by mira_96 on Mon May 11, 2009 5:46 pm

emmmppp....langsung tak faham!!!
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Re: Kambing & Manusia

Post by Cikgu X on Mon May 11, 2009 6:30 pm

hehe... tak pa, belajar & terus belajar... tanam minat pd matematik, banyakkan latihan, ambil perhatian ketika penerangan guru... dan rajin bertanya.

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Re: Kambing & Manusia

Post by Cikgu Edy on Wed May 13, 2009 9:01 pm

rupa-rupanya kambing dan manusia pun boleh memeningkan kepala... Laughing

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Re: Kambing & Manusia

Post by zuriaf on Wed Aug 26, 2009 6:24 pm

hmmmmmm...blurrr... Question Question
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Re: Kambing & Manusia

Post by zuriaf on Wed Aug 26, 2009 6:25 pm

ohhhh...sekarang saya faham....
hehe.. Very Happy Very Happy Very Happy albino cheers
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Re: Kambing & Manusia

Post by KAY on Wed Aug 26, 2009 10:46 pm

ayo saya langsung tak faham apa2 pun Question
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Re: Kambing & Manusia

Post by samanthashasha on Thu May 20, 2010 2:04 am

tak faham , sy prnh dpt soalan ini .. tapi dh lupe ..
hehe , terangkan kt saye skali lgi ..

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Re: Kambing & Manusia

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