老师发本子给若干名同学，如果每人发3本还剩8本，若每人发5本，有一名同学不满5本，问一共有几名同学？ 问: 老师把若干本练习本分给几个学生,若每人分得3本,则多余...
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3X+8=Y 5X>Y 5(X-1)<Y
\u89e3\u5f97 4<X<6.5
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3x+8=5（x-1）+（5-Y）
3x+8=5x-5+（5-Y）
3x-5x+y=-8
-2x+y=-8
2x+y=8
假设那个不满5本的同学拿了2本
2X+2=8
x=3
验算：3*3+8=17（本）
3*5+2=17（本）所以一共有3名同学
同学为x人，则3x+8-5（x-1)<5，3x+8-5（x-1)>0
解出x>4且x<6.5
所以4<X<6.5
且取整数 所以x=5或6
答：有5名同学或6名同学。
设本子为y，同学为x，则y=3x+8<5x，解出x>4
设x=5，y=3×5+8=23本<5×5；
设x=6，y=3×6+8=26本<5×6；
所以最终结果是：x>4
绛旓細瑙ｏ細璁炬湁x鍚嶅鐢燂紝鍒欐湁锛5x+2锛夋湰鏈瓙 鍏崇郴寮忥細0<(5x+2)-6(x-1)<2 鍒楀嚭鏂圭▼缁勶細 锛5x+2锛-6锛坸-1锛<2 锛5x+2锛-6锛坸-1锛>0 瑙ｅ緱锛歺>6,x<8 鍥犱负x鍙栨暣鏁帮紝鎵浠=7
绛旓細5-1=7-3=4浜 5涔7=35浜 35-4=31浜 绛旓細鑷冲皯鏈31浜
绛旓細鑻ュ共鏈綔涓氬垎缁欏悓瀛 姣忎汉鍒4鏈皯20鏈,姣忎汉鍒3鏈30鏈,璁惧叡鏈夊鐢焌浜 4a-20=3a+30 a=50
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绛旓細璁炬湁X鍚嶅鐢 0锛4X+20-8锛圶-1锛夛紲8 0锛-4X+28锛8 -28锛-4X锛-20 7锛瀀锛5 鐢变簬X鍙栨鏁存暟锛屾墍浠=6 鏈鏈瓙锛6脳4+20=44锛堟湰锛夋瀛︿竴鍏冧竴娆′笉绛夊紡鍚э紵
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