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標題: 關於二元一次的數學問題 [打印本頁]

作者: daoloi 時間: 2011-11-1 10:03 PM 標題: 關於二元一次的數學問題

小弟有一題數學未能解答，請高人指點一下：

A shop has sold 129 records by Alan and Anita with a total sales of $12,615.
Each record by Alan and each record by Anita are sold at $110 and $95 respectively.
How many records

a) by Alan has the shop sold

b) by Anita has the shop sold

作者: pollu002 時間: 2011-11-1 11:30 PM

A shop has sold 129 records by Alan and Anita with a total sales of $12,615.
Each record by Alan and each record by Anita are sold at $110 and $95 respectively.
How many records
a) by Alan has the shop sold
b) by Anita has the shop sold
set Alan sold x records Anita sold y records
  1. x+y=129
  2.110x+95y=12615
1*110-2 => 15y=1575
         => y=105
               x=129-105=24

作者: gell3v123123 時間: 2011-11-5 01:15 PM

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作者: ravel6218 時間: 2011-11-5 01:40 PM

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作者: free_520 時間: 2011-11-6 01:58 PM

x+y=129
110x+95y=12615
將上面兩式聯立
求出X,Y解為
x=24
y=105

所以答案為
(a)105 records have been sold by Alan
(b) 24 records have been sold by Anita

作者: l2225700 時間: 2011-11-12 11:19 PM

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