On the day of the performance of a certain play, each ticket that regularly sell

游客2024-01-13  29

问题 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?

选项 A、7y-2x
B、12x-7y
C、
D、7y + 4x
E、7y+5x                  

答案 A

解析 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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