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29 Nov 2018, 00:38
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B
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Difficulty:
35%
(medium)
Question Stats:
70% (01:53) correct
30%
(01:59)
wrong
based on 53
sessions
History
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Time
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A school stadium contains 2,000 seats. For a certain game, student tickets cost $3 each and nonstudent tickets cost $6 each. What is the least number of nonstudent tickets that must be sold so that the total ticket sales will be at least $8,400 ?
A. 400
B. 800
C. 900
D. 1,200
E. 1,600
A. 400
B. 800
C. 900
D. 1,200
E. 1,600
Archit3110
Major Poster
29 Nov 2018, 03:53
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Bunuel
X+Y= 2000
3x+6y=8400
solve for x & y
student x= 1200
and non students y=800
IMO B
29 Nov 2018, 07:00
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Bunuel
let the least number of non student be x.
student = 2000 - x
\((2000 - x)3 + 6x \geq8400\)
\(6000 - 3x + 6x \geq8400\)
\(x\geq800\)
B is the correct answer.
