F.1 Maths題,急

👨🏻‍🏫 學術台數學

用戶159403

2010-11-13 2:05 am

Concert ticket in $400, $200 and $100 each are available for sale.The number of $200 tickets sold is 4 times as many as that of $400 ticket.The number of $100 tickets sold is 380 more than that of $200 tickets.If the total income from the sale of tickets is $86 000,how many $400 tickets are sold?

答案為30.但我唔知點列式,請提供列式,最好有埋中文意思.

更新1:

KC,但係根據''The number of $100 tickets sold is 380 more than that of $200 tickets.'' $200 tickets唔係比$400 ticket多4倍咩,咁100 tickets唔係$400 ticket的4倍多$380咩?

回答 (4)

[匿名]

2010-11-13 2:27 am

✔ 最佳答案

演唱會有400元,200元,100元的門票售賣.賣出的200元門票數量是400元門票的4倍,賣出的100元門票又比200元的多380張.如果賣出門票的總收入是86000元,請問賣出了多少張400元門票

Let y be the number of the sold $400 tickets
400y+4x200y+4x100y+380x100=86000
400y+800y+400y=48000
1600y=48000
y=30

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[匿名]

2010-11-13 3:48 am

參考: ME

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[匿名]

2010-11-13 2:37 am

Let Q be the number of $400 tickets,
Q×4×200+(Q×4+380)×100+400Q=86000
800Q+400Q+38000+400Q=86000
(800+$400+400)Q=86000－38000
1600Q=48000
Q=48000÷1600
Q=30
∴30 $400 tickets are sold

如果明白,可以跳steps

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[匿名]

2010-11-13 2:21 am

當$400 售出左既tickets 既數目為X , $200 tickets 為Y ,$100 為z
y=4x 因為200蚊既票係 4倍(4times) 既X ($400)
z = y +380 因為100蚊(Z)門票係多過200蚊(Y)既門票380張
收入 400X + 200Y + 100Z = 86000
全式除100
4x+ 2y + z =860
因y =4x
z = y +380
所以 y + 2y + y +380 = 860
y= 120
擺y=120 落 y = 4x
x = 30
$400蚊門票係30張

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收錄日期: 2021-04-23 20:47:47
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20101112000051KK00889

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