题目信息
On the day of the performance of a certain play, each ticket that regularly sells for less than $10.00 is sold for half price plus $0.50, and each ticket that regularly sells for $10.00 or more is sold for half price plus $1.00. On the day of the performance, a person purchases a total of y tickets, of which x regularly sell for $9.00 each and the rest regularly sell for $12.00 each. What is the amount paid, in dollars, for the y tickets?
A:7y – 2x
B:12x – 7y
C:
D:7y + 4x
E:7y + 5x
参考答案及共享解析
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正确答案：
A:7y – 2x
Algebra Applied problems
The amount paid for the y tickets is the sum of the amounts paid for two groups of tickets. The first group consists of x tickets, each of which regularly sells for $9.00. The second group consists of the remaining (y – x) tickets, each of which regularly sells for $12.00. The amount paid for the first group was x($4.50 + $0.50) = $5x. The amount paid for the second group was (y – x)($6.00 + $1.00) = $7(y – x), or $7y − $7x. Therefore, the amount paid for the y tickets was $5x + ($7y – $7x) = $(7y – 2x).
The correct answer is A.
The amount paid for the y tickets is the sum of the amounts paid for two groups of tickets. The first group consists of x tickets, each of which regularly sells for $9.00. The second group consists of the remaining (y – x) tickets, each of which regularly sells for $12.00. The amount paid for the first group was x($4.50 + $0.50) = $5x. The amount paid for the second group was (y – x)($6.00 + $1.00) = $7(y – x), or $7y − $7x. Therefore, the amount paid for the y tickets was $5x + ($7y – $7x) = $(7y – 2x).
The correct answer is A.
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