hzb53jl55v的部落格

標題:

趣味數學(10分)

發問:

2餅+1香腸 =2香腸+2香蕉 1餅+2香腸 =3香蕉 如果 5餅+2香腸 =?香蕉 幾多個香蕉呀??講埋點解啦,, plx~ 更新: 但,,答案只有: a3 b4 c7 d11 咁你地會選邊個? 如果有點數我都識計,,但冇個個答案,,都唔知點寫好

最佳解答:

Let 餅:c , 香腸:s , 香蕉:b 2c+1s=2s+2b --> 2c=s+2b .....(1) 1c+2s=3b .....(2) from (1)&(2) s+2b=6b-4s --> 5s=4b 5c+2s =15b-10s+2s (from (2)) =15b-8s =15b-6.4b =8.6b 5餅+2香腸 = 8.6個香蕉 2006-11-24 14:53:19 補充： 如果答案只有: a3 b4 c7 d11 我會刪哂D答案寫番自己果個, 如果答案要係整數, 明顯問題出錯左. 2006-11-24 14:56:17 補充： 應該呢度較大可能出錯:2餅+1香腸=2香腸+2香蕉等式左右都有香腸... 點解唔直接寫 "2餅=1香腸+2香蕉" 呢?

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設 餅=A 香腸=B 香蕉=C 2A+1B=2B+2C 1A+2B=3C 2A=B+2C 3C=1A+2B 2A-B=2C (2A-B)x1.5=1A+2B 3A-1.5B=1A+2B 2A=3.5B A=1.75B 設A為70,所以B為40. 140+40=80+2C 180=80+2C 100=2C C=50 A=70 B=40 C=50 5x70+2x40=?x50 350+80=?x50 430=?x50 ?=430/50 ?=8.6 8.6隻香蕉.|||||餅=x 香腸=y 香蕉=z 2餅+1香腸=2香腸+2香蕉 2x+y=2y+2z 2x-2z=y --------------------(1) 1餅+2香腸=3香蕉 x+2y=3z x=3z-2y -------------------(2) put 2 into 1 2(3z-2y)-2z=y 6z-4y-2z=y 4z=5y --------------------(3) put 3 into 2 x=3z-2(4/5z) 5餅+2香腸=?香蕉 5x+2y =5[3z-2(4/5z)] +2(4/5z) =15z-8z+8/5z|||||2餅+1香腸=2香腸+2香蕉 =>2餅=1香腸+2香蕉 =>1香腸 = 2餅 - 2香蕉 -----------(1) 1餅+2香腸=3香蕉 -----------------(2) 代(1)進(2) 1餅+2(2餅 - 2香蕉)=3香蕉 =>1餅 + 4餅 - 4香蕉=3香蕉 =>5餅 =7香蕉 =>1餅 =7/5香蕉---------------------(3) 代(3)進(1) 1香腸 = 2(7/5香蕉) - 2香蕉 =>1香腸 = 14/5香蕉 - 2香蕉 =>1香腸 = 4/5香蕉-----------------(4) 5餅+2香腸----------------------------(5) 代(3)和(4)進(5) 5(7/5香蕉)+2(4/5香蕉) =>7香蕉+8/5香蕉 =>8 (3/5)香蕉|||||5隻香蕉 因為餅其實係香蕉 香腸都係香腸, 只不過係混淆左