中一方程急問[10點]

2007-05-06 8:47 am
我想問以下的方程如何列....
There are 3types of concert tickets:$400,$200 and $100. The number of $200 tickets sold is 4 times that of $400 tickets. The number of $100 tickets sold is380 more than that of $200 tickets. If the total income from the tickets is $86000, find the number of $400 tickets sold.

謝。

回答 (5)

2007-05-06 8:58 am
✔ 最佳答案
Let x be the number of $400 tickets sold,

400x+200(4X)+100(4X+380)=86000
400x+800x+400x+38000=86000
1600x+38000=86000
1600x=48000
x=30

the number of $400 tickets sold is 30.
參考: by myself
2007-05-06 8:15 pm
Let y be the number of $400 tickets sold.
$200(4y)+$100(380+4y)+$400(y)=$86000
800y+38000+400y+400y=86000
38000+1600y=86000
1600y=48000
y=48000/1600
y=30
Therefore, 30 $400 tickets were sold.
2007-05-06 9:12 am
letx=no. of $400tickets sold
y=no. of $200tickets sold
z=no. of 100$tickets sold
400x+200y+100z=86000
y+380=z-----1
y=4x----2
sub.2 in 1
4x+380=z
400x+200(4x)+100(4x+380)=86000
16x=480
x=30
so 30 is the no. of 400$tickets sold
2007-05-06 9:07 am
a = number of $400 ticket
b = number of $200 ticket
c = number of $100 ticket

86000 = 400a + 200b + 100c
b = 4a
c = 380 + b
c = 380 + 4a

86000 = 400a + 200(4a) + 100 (380+4a)
86000 = 400a + 800a + 38000 + 400a
86000 = 38000 + 1600a
48000 = 1600a
a = 30
參考: myself
2007-05-06 8:57 am
Let the number of $400 tickets sold be x
4x($200) + $400x + (4x+380)($100)=86000
x=30

The number of $400 tickets sold is 30


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