数学题:甲乙两仓库共有棉花2600包
- 时间:2020-06-05 20:30:28
- 分类:数学世界
- 阅读:165 次
数学题:甲乙两仓库共有棉花2600包,甲仓库运走它的四分之三(3/4),乙仓库运走它的五分之三(3/5),剩下棉花相等,甲,乙仓库原有棉花各多少包?
数学题解答:要算出甲乙仓库原棉花的包数,可以先算出甲乙两仓库棉花包数的比。
根据“甲仓库运走它的四分之三”,可以算出甲仓库剩下原来的:1 – 3/4 = 1/4。
根据“乙仓库运走它的五分之三”,可以算出乙仓库剩下原来的:1 – 3/5 = 2/5。
再根据“剩下棉花相等”,可知:甲仓库的1/4等于乙仓库的2/5,即:
甲仓库 × 1/4 = 乙仓库 × 2/5
由这个等积式,倒推出比例式为“甲仓库 : 乙仓库 = 2/5 : 1/4 ”
进一步化简,算出甲乙仓库之比为8:5。
最后算出两个仓库原有的棉花包数。
甲:2600 ÷ (8 + 5) × 8 = 1600(包)
乙:2600 ÷ (8 + 5) × 5 = 1000(包)
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