In an exhibition, the prices of an adult ticket and a student ticket are $75 and $30 respectively. If on a day 490 tickets are sold altogether and the total income is $30 450,find
(a) the number of adult tickets sold and the amount received,
(b) the number of student tickets sold and the amount received,
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2010-10-28 3:06 am
回答 (2)
2010-10-28 3:19 am
✔ 最佳答案
Let x adult tickets have sold , then 490 - x student tickets have sold .75x + 30(490 - x) = 30 45075x + 14700 - 30x = 30 45045x = 15750x = 350a)350 adult tickets sold and the amount received = 350 * 75 = $ 26 250.b)490 - 350 = 140 student tickets sold and the amount received = 140 * 30 = $ 4 200
2010-10-28 6:47 am
let A be the no of adult ticket sold and S be the no of student ticket sold
A + S = 490 ............. (1)
75A + 30S = 30450....(2)
From (1),
S = 490 - A ............ (3)
Sub (3) into (2),
75A + 30(490-A) = 30450
75A + 14700 - 30A = 30450
75A - 30A = 30450 - 14700
45A = 15750
A = 15750 / 45
A = 350
Then, S = 490 - 350 = 140
(a) the no of adult tickets sold = 350
the amount received = 350 * $75 = $26250
(b) the no of student tickets sold = 140
the amount received = 140 * $30 = $4200
A + S = 490 ............. (1)
75A + 30S = 30450....(2)
From (1),
S = 490 - A ............ (3)
Sub (3) into (2),
75A + 30(490-A) = 30450
75A + 14700 - 30A = 30450
75A - 30A = 30450 - 14700
45A = 15750
A = 15750 / 45
A = 350
Then, S = 490 - 350 = 140
(a) the no of adult tickets sold = 350
the amount received = 350 * $75 = $26250
(b) the no of student tickets sold = 140
the amount received = 140 * $30 = $4200
收錄日期: 2021-04-21 22:20:27
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