Urgent questions ^_^

2007-08-07 7:01 am
1. A piece of wire of 5m long is cut into x pieces of 15 cm long and y pieces of 10 cm long. If y≥ x-5, what is the maximum number of pieces of wire of 15 cm long.

回答 (2)

2007-08-07 7:12 am
✔ 最佳答案
15X+10Y = 500 ----1
Y≥ X-5 -------2

1)
3X +2Y =100
Y=(100-3X)/2 ----3
PUT 3 INTO 2
(100-3X)/2 ≥ X-5
100-3X ≥ 2X-10
110≥ 5X
22≥ X


SO THE MAXIMUM NUMBER OF PIECES OF WIRE OF 15CM LONG IS 22
參考: 自己
2007-08-07 9:38 am
5m = 500cm

15x + 10y = 500
10y = 500 - 15x
y = 50 - ( 3x/2 )


y ≥ x - 5
50 - ( 3x/2 ) ≥ x - 5
100 + 5 - 3x ≥ 2x
105 ≥ 5x
x <= 21

2007-08-07 01:38:55 補充:
TOT又計錯數啦...y ≥ x - 550 - ( 3x/2 ) ≥ x - 5100 10 - 3x ≥ 2x110 ≥ 5xx <= 22

2007-08-07 01:39:26 補充:
the maximum number of pieces of wire of 15 cm long is 22


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