仓库先后运来两批粮食,如果只有第一批增加20%

  • 时间:2020-05-14 13:29:37
  • 分类:数学世界
  • 阅读:153 次

数学题:仓库先后运来两批粮食,如果只有第一批增加20%,则两批粮食共运146吨;如果只有第二批减少20%,则两批共运120吨,这两批粮食实际一共运多少吨?

数学题解答:此题用方程来解相对容易些。

解:设第一批增加20%后的重量为X吨,则第二批可表示为(146-X)吨,第一批原来的可表示为:(X÷ 120%)吨。

再根据“如果只有第二批减少20%,则两批共运120吨”可列出方程:

X÷ 120% + (146-X)×(1-20%)= 120

X=96

第一批:96÷ 120%=80(吨)

第二批:146-96=50(吨)

一共:80+50=130(吨)

答:这两批粮食实际一共运130吨。

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