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[數學] f3數 有條數唔識

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ken spent $720 to buy a total of 12 CDs and VCDs.if the prices o each CD and each VCD are $80 and $50 respectively,how many CDs and VCDs did ken buy?
[please asked by the method of elimination or substitution]

thx

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雖然唔係好清楚咩野係elimination & substitution
但正常會係咁計↓

Let the number of CD be x , the number of VCD be 12-x

  80x + 50(12-x) = 720
80x + 600 - 50x = 720
                      30x = 120
                           x = 4

∴the number of CD is 4 and the number of VCD is 8

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引用:
原帖由 killyou10times 於 2008-6-18 16:03 發表
雖然唔係好清楚咩野係elimination & substitution
但正常會係咁計↓

Let the number of CD be x , the number of VCD be 12-x

  80x + 50(12-x) = 720
80x + 600 - 50x = 720
                      ...
咁樣我都識..但係佢要elimination & substitution

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ken spent $720 to buy a total of 12 CDs and VCDs.if the prices o each CD and each VCD are $80 and $50 respectively,how many CDs and VCDs did ken buy?
[please asked by the method of elimination or substitution]



Let ken but x CD and y VCD


80x+50y=720    -(1)
x+y=12               -(2)


elimination or substitution
我想是這樣吧

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ken spent $720 to buy a total of 12 CDs and VCDs.if the prices o each CD and each VCD are $80 and $50 respectively,how many CDs and VCDs did ken buy?
[please asked by the method of elimination or substitution]


check完之後就知咩野係elimination 同埋 substitution
-----------------------------------------------------------------------------------
by elimination


let ken buy x CDs and y VCDs


x + y = 12            .......(1)
80x + 50y = 720 .......(2)


(1)*50


50x + 50y = 600 ........(3)


(2) - (3)


30x = 120
    x = 4


sub x = 4 into (1)


4 + y = 12
       y = 8


∴ ken buy 4 CDs and 8 VCDs


----------------------------------------------------------------------------------------------
by substitution


let ken buy x CDs and y VCDs


x + y = 12            .......(1)
80x + 50y = 720 .......(2)


from (1)


x + y = 12
      y = 12 - x  .......(3)


sub (3) into (2)


80x + 50(12 - x) = 720
80x + 600 - 50x = 720
                     30x = 120
                          x = 4


sub x = 4 into (1)


4 + y = 12
       y = 8


∴ ken buy 4CDs and 8 VCDs

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elimination  --->估計     估計x 同 y既值
substitution --->代入     試用數字代入 x同 y

希望冇錯  但兩個好似冇乜分別

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