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Master | Next Rank: 500 Posts
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by smclean23 » Mon Aug 04, 2008 5:51 pm
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) 9x+12y/2
(D) 7y + 4x
(E) 7y + 5x
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by sibbineni » Mon Aug 04, 2008 6:52 pm
Given Data:

ticket sells<10=1/2*price+0.5---(1)

ticket sells>=10=1/2*price +1---(2)

Total tickets is Y

X-->sold for 9 dollars
so <10 then by (1)we get X( 1/2*9+0.5)=5 X--(3)

remaining tickets that sold are Y-X for 12 dollars

so>10 then by (2)we get (Y-X)(1/2*12+1)=7(Y-X)----(4)

(1)+(3)

5X+7Y-7X
==>7Y-2X

A
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