中學數學[[聯立二元一次方程]](英文)

2009-03-08 2:01 am
In a tea company,the cost of grade A tea is $120/100g and that of grade B tea is $84/100g.By blending grades A and B tea,the mixture weights 1.8kg and costs $100/100g.How many grams of tea of each kind are there in the mixture?

請列出2條式及詳述原因及做法...
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回答 (1)

2009-03-08 3:03 am
✔ 最佳答案
Note that 1.8kg = 1800g

Let there have A g grade A tea while grade B tea have B g :

A + B = 1800.........(1)

(120A + 84B) / (A + B) = 100.........(2)

sub (1) to (2): 120A + 84B = 180000

10A + 7B = 15000...(3)

(1)*10 - (3) :

10A + 10B - 10A - 7B = 18000 - 15000

3B = 3000

B = 1000

A = 1800 - 1000 = 800

So grade A tea have 800g in 1.8kg while grade B tea have 1000g .


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