数学题:养猪大户王师傅说他的猪卖75头
- 时间:2020-05-01 11:05:58
- 分类:数学世界
- 阅读:75 次
数学题:养猪大户王师傅说他的猪卖75头,剩下的饲料可以喂20天,卖100头剩下的饲料可以喂25天,问王师傅总共喂了多少头猪?
数学题解答:这道题要求的是猪的总数,题中每头猪每天吃的饲料应该是按一定的量来计算的。两种所描述的两种情况中,剩下的饲料应该是相同的,可以利用这一点找到等量关系式。还有饲料的数量用猪的头数与天数的乘积来表示。
用方程解答如下:设总共喂了x头猪。
(x – 75)×20 = (x – 100)× 25
展开后,得:20x – 1500 = 25x – 2500
方程两边同时减去20x,再同时加上1500,得:
5x – 1000 = 0
x=200
答:养猪大户王师傅总共养了200头猪。
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