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

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Math Expert
Joined: 02 Sep 2009
Posts: 51185
A school stadium contains 2,000 seats. For a certain game, student tic  [#permalink]

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28 Nov 2018, 23:38
00:00

Difficulty:

45% (medium)

Question Stats:

62% (01:19) correct 38% (02:25) wrong based on 21 sessions

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 _________________ Director Joined: 18 Aug 2017 Posts: 731 Location: India Concentration: Sustainability, Marketing WE: Marketing (Energy and Utilities) Re: A school stadium contains 2,000 seats. For a certain game, student tic [#permalink] ### Show Tags 29 Nov 2018, 02:53 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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Director
Joined: 31 Oct 2013
Posts: 876
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: A school stadium contains 2,000 seats. For a certain game, student tic  [#permalink]

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29 Nov 2018, 06:00
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.
Re: A school stadium contains 2,000 seats. For a certain game, student tic &nbs [#permalink] 29 Nov 2018, 06:00
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# A school stadium contains 2,000 seats. For a certain game, student tic

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