甲、乙、各有若干元，甲拿出五分之一给乙后，乙又拿出四分之一给甲
\u7532\u4e59\u6709\u94b1\u82e5\u5e72\u5143\uff0c\u7532\u62ff\u51fa\u81ea\u5df1\u94b1\u7684\u4e94\u5206\u4e4b\u4e00\u7ed9\u4e59\u540e,\u4e59\u518d\u62ff\u51fa\u73b0\u6709\u7684\u56db\u5206\u4e4b\u4e00\u7ed9\u7532,\u8fd9\u65f6\u4ed6\u4eec\u90fd\u6709180\u5143,\u4ed6\u4eec\u539f\u6709\u7531\u9898\u610f\u77e5\u4e24\u4eba\u5171\u6709\u94b1180\u00d72=360\u5143\uff0c
\u4e59\u62ff\u51fa1/4\u7ed9\u7532\u540e\u4f59180\u5143\uff0c\u5219\u7ed9\u7532\u7684\u94b1\u662f180\u00f7\uff081-1/4\uff09\u00d71/4=180\u00d71/3=60\uff0c
\u7532\u5728\u83b7\u5f97\u8fd9\u7b14\u94b1\u4e4b\u524d\u6709180-60\uff0c\u4e43\u662f\u539f\u6765\u94b1\u6570\u62ff\u51fa1/5\u540e\u7684\u4f59\u989d\uff0c\u6545\u7532\u539f\u6765\u6709\u94b1
\uff08180-60\uff09\u00f7\uff081-1/5\uff09=120\u00f7\uff084/5\uff09=150\u5143\uff0c\u4e59\u539f\u6765\u6709\u94b1360-150=210\u5143\u3002
\u8ba1\u7b97\u7532\u539f\u6709\u94b1\u6570\u7684\u7efc\u5408\u5f0f\u662f180\u00d7[1-(1/4)/(1-1/4)]\u00f7\uff081-1/5\uff09
=180\u00d7[1-1/3]\u00f7\uff084/5\uff09=180\u00d72/3\u00d75/4=180\u00d75/6=150\u5143\u3002
\u603b\u94b1\u6570=180+180=360\u5143
\u4e59\u7ed9\u7532\u524d\uff0c\u4e59\u6709180\u00f7\uff081-1/4\uff09=240\u5143
\u5373\u4e59\u7ed9\u7532240-180=60\u5143
\u6240\u4ee5\u7532\u7ed9\u4e59\u540e\uff0c\u7532\u6709180-60=120\u5143
\u6240\u4ee5\u7532\u7ed9\u4e59\u524d\uff0c\u7532\u6709120\u00f7\uff081-1/5\uff09=150\u5143
\u6240\u4ee5\u5f53\u65f6\u4e59\u6709360-150=210\u5143
\u5373\u539f\u6765\u7532\u6709150\u5143\uff0c\u4e59\u6709210\u5143
\u795d\u4f60\u5f00\u5fc3
乙后来有 90÷（1-1/4）＝90÷3/4＝120
此时甲有 180-120＝60
甲原来有 60÷（1-1/5）＝60÷4/5＝75元
绛旓細鐢插師鏉ユ湁 60梅锛1-1/5锛夛紳60梅4/5锛75鍏
绛旓細180梅锛1锛3鍒嗕箣1锛夛紳270锛堝厓锛夌敳缁涔涔嬪悗鏈 180脳2锛270锛90(鍏)鐢插師鏉ユ湁 90梅锛1锛5鍒涔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
绛旓細涔鍦ㄧ粰鐢蹭箣鍓嶏細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)
绛旓細瑙ｏ細鍏堟眰鐢层佷箼涓や汉鐨勯挶鏁颁箣姣 鐢遍鎰忓緱锛氱敳鐨勯挶鏁*(1-1/5)+涔欑殑閽辨暟*1/3 =鐢茬殑閽辨暟鐨1/5+涔欑殑閽辨暟*(1-1/3)鏁寸悊寰楋細鐢茬殑閽辨暟姣斾箼鐨勯挶鏁=5/9 鍥犱负涓や汉鐨勯挶鎬绘暟涓280鍏 鎵浠ョ敳鐨勯挶鏁颁负锛280*5/(5+9)=100鍏 涔欑殑閽辨暟涓猴細280*9/(5+9)=180鍏 ...
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鍏冿紝鎵浠ヨ鐢叉湁X鍏冿紝閭ｄ箞涔欐湁Y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
绛旓細璁剧敳鏈墄鍏冿紝涔欐湁y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1梅(1-2脳1/5)=5/3=5:3 绛旓細鍘熸潵鐢蹭箼浜屼汉鎵鏈夌殑閽辨暟姣旀槸5:3
绛旓細鍊掕繃鏉ユ濊 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鍏冿紝涔鍘熸潵鏈280锛87.5锛112....
绛旓細涔欐槸鐢茬殑锛1-1/5脳2 =1-2/5 =3/5 =60
