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A school stadium contains 2,000 seats. For a certain game, student tic

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A school stadium contains 2,000 seats. For a certain game, student tic  [#permalink]

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New post 29 Nov 2018, 00:38
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Question Stats:

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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

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Re: A school stadium contains 2,000 seats. For a certain game, student tic  [#permalink]

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New post 29 Nov 2018, 03:53
Bunuel wrote:
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



X+Y= 2000

3x+6y=8400
solve for x & y
student x= 1200
and non students y=800
IMO B
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Re: A school stadium contains 2,000 seats. For a certain game, student tic  [#permalink]

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New post 29 Nov 2018, 07:00
Bunuel wrote:
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



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.
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Re: A school stadium contains 2,000 seats. For a certain game, student tic   [#permalink] 29 Nov 2018, 07:00
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