现有浓度为20%的糖水300克,要把它变成浓度是40%的糖水,需加糖多少克?求解方程和列式计算两种方法

2025-04-02 02:02:38
推荐回答(4个)
回答1:

需加糖:300X(1-20%)÷(1-40%)-300=100(克)

解:设需加糖X克。
(300x20%+x)/(300+x)=40%
60+X=40%(300+x)
60+x=120+0.4x
0.6x=60
x=100

回答2:

解:假设楼主说的是质量浓度,
300克糖水里有300×20%=60克糖,有300-60=240克水
设需加入x克糖,
则(x+60)/(x+60+240)=40%
解之得,x=100
答:需加糖100克.

回答3:

1、列式计算:
浓度为20%的300克糖水中 水有 300×(1-20%)=300×0.8=240(克)
变成浓度为40%的糖水,因水的重量没有变,所以
240÷(1-40%)=240÷0.6=400(克) 400-300=100(克)
2、用方程解:
解:设需加糖x克,根据水的重量不变列方程。
300×(1-20%)=(300+x)×(1-40%)
300×0.8=(300+x)×0.6
240=180+0.6x
0.6x=240-180
0.6x=60
x=100

回答4:

设加糖为X,则有(300*0.2+X)/(300+X)=0.4,解得X=100克。

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