甲乙两人各有若干元甲拿出五分之一给乙。则两人钱数相等。原来甲乙二人所有的钱数比是（ ）：（ ）
\u7532\u4e59\u4e24\u4eba\u5171\u5b58\u6b3e540\u5143\u7532\u53d6\u51fa\u81ea\u5df1\u7684\u4e03\u5206\u4e4b\u4e8c\u4e59\u53d6\u51fa60\u5143\u8fd9\u65f6\u4fe9\u4eba\u6240\u5269\u94b1\u6570\u76f8\u7b49\u6c42\u4fe9\u4eba\u5404\u6751\u591a\u5c11\u5143\u89e3\uff1a\u8bbe\u7532\u4e3aX\uff0c\u5219\u4e59\u4e3a\uff08540\uff0dX\uff09\u3002
\uff081\uff0d2\uff0f7\uff09X\uff1d540\uff0dX\uff0d60
5\uff0f7X\uff1d480\uff0dX
12\uff0f7X\uff1d480
X\uff1d280
540\uff0d280\uff1d260\u5143
\u7532X \u4e59Y
x+y=90
(5/6x):(1/6x+y)=5:4
x=60
y=30
\u8fc7\u7a0b\u81ea\u5df1\u89e3\u51b3
\u7ed9\u5206\uff01\uff01\uff01\uff01
答：原来甲乙二人所有的钱数比是5:3
甲：乙=1:(1-1/5-1/5)=5:3
比1:(1-1/5*2)=5:3
绛旓細绛旓細鍘熸潵鐢蹭箼浜屼汉鎵鏈夌殑閽辨暟姣旀槸5:3
绛旓細鍏辨湁90*2锛180鍏 璁剧敳X 涔180-x 鐢叉嬁鍑轰簲鍒嗕箣涓缁欎箼 1/5x 鍙堟嬁鍑哄洓鍒嗕箣涓缁鐢 涔鍓3/4锛180-x+1/5x锛夛紳90 x锛75 鐢插師鏉ユ湁75 涔欐湁105
绛旓細瑙ｏ細鏍规嵁棰樻剰鐭ラ亾锛屼粬浠袱涓竴鍏辨湁180+180=360鍏冿紝鎵浠ヨ鐢鏈塜鍏冿紝閭ｄ箞涔鏈塝鍏冿紝鍒欏垪鏂圭▼鏄細X-1/5X+锛360-X锛壝1/3=锛360-X锛壝2/3+1/5X锛岃В杩欎釜鏂圭▼寰楋細X=900/7锛岄偅涔堜箼鏈1620/7鍏
绛旓細涔欏湪缁欑敳涔嬪墠锛140梅(1-1/3)=210(鍏)鐢茬粰涔欎箣鍚庯細140脳2-210=70(鍏)鐢插師鏈夛細70梅(1-1/5)=87.5(鍏)涔欏師鏈夛細140脳2-87.5=192.5(鍏)
绛旓細璁鐢鏈墄鍏冿紝涔鏈墆鍏 鍒楁柟绋嬫湁 4/5x=180;1/5x+y=180 鍙緱x=225 y=135 鎵浠ョ敳鏈225鍏 涔欐湁135鍏
绛旓細涔欑粰鐢蹭箣鍓嶆湁 180梅锛1锛3鍒嗕箣1锛夛紳270锛堝厓锛夌敳缁欎箼涔嬪悗鏈 180脳2锛270锛90(鍏)鐢插師鏉ユ湁 90梅锛1锛5鍒嗕箣1锛夛紳112.5锛堝厓锛変箼鍘熸潵鏈 180脳2锛112.5锛247.5锛堝厓锛
绛旓細鍥炵瓟锛歺-1/5x=y 寰梱=4/5x 绛旀鏄4/5
绛旓細璁惧師鏉ョ敳鏈墄鍏冿紝x(1-1/5)=180 4/5 x =180 x= 鐢层佷箼鍏辨湁180脳2锛360锛堝厓锛夋墍浠ヤ箼鏈夛細360锛峹
绛旓細涔鎷垮嚭鍥涘垎涔嬩竴鍓╀綑180锛屽氨鏄鐢茬粰涔欏悗涔欐湁180/0.75=240锛屽垯鐢茬粰涔欏悗鍓╀綑180-锛240-180锛=120锛屼篃灏辨槸鐢插墿浣欑殑浜斿垎涔鍥涳紝鍒欑敳鏈鍒濇湁120/0.8=150锛屽垯涔欐渶鍒濇湁240-30=210.
绛旓細涓や汉涓鍏280鍏 涔欐嬁鍑1/3缁欑敳鍚庯紝鑷繁鍓╀笅2/3锛屽彉鎴140鍏冿紝璇存槑浠栨嬁鍑1/3涔嬪墠鏈140梅(1锛1/3)锛210鍏冿紝鍥犺岀敳寰楀埌涔欑殑1/3涔嬪墠鏈280锛210锛70鍏 鍙堢敳鏄嬁鍑1/5缁欎箼鍚庢墠鍙樻垚70鍏冪殑锛屽洜姝鐢叉嬁鍑涔嬪墠鏈70梅(1锛1/5)锛87.5鍏 鍗崇敳鍘熸潵鏈87.5鍏冿紝涔欏師鏉ユ湁280锛87.5锛112.5鍏 ...
