雞兔同籠,共有頭80只,雞的腳數(shù)比兔的腳數(shù)多112只,雞有________,兔有________.
72只 8只
分析:設(shè)雞的只數(shù)為x只,則兔有80-x只,根據(jù)等量關(guān)系:雞的腳數(shù)比兔的腳數(shù)多112只,即可列出方程解決問題.
解答:設(shè)雞的只數(shù)為x只,則兔有80-x只,根據(jù)題意可得方程:
2x-4(80-x)=112,
2x-320+4x=112,
6x=432,
x=72;
80-72=8(只);
答:雞有72只,兔子有8只.
故答案為:72只;8只.
點評:此題容易找出等量關(guān)系:利用雞兔共80只,設(shè)出未知數(shù),利用雞的腿數(shù)比兔的腿數(shù)多112條列出方程即可解答.