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A certain theather has 100 balcony seats- For every $2

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A certain theather has 100 balcony seats- For every $2 [#permalink] New post 18 Sep 2003, 17:19
A certain theather has 100 balcony seats- For every $2 increase in the price of a balcony seat above $ 10, 5 fewer seats will be solved. If all the balcony seats are sold when the price of each seat is $ 10, what is the price of a balcony seat if total revenue from the sale is $ 1360?

The answer is $12- can you pls explain?
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Re: numbers..numbers.. [#permalink] New post 19 Sep 2003, 03:55
Seftali wrote:
A certain theather has 100 balcony seats- For every $2 increase in the price of a balcony seat above $ 10, 5 fewer seats will be solved. If all the balcony seats are sold when the price of each seat is $ 10, what is the price of a balcony seat if total revenue from the sale is $ 1360?

The answer is $12- can you pls explain?


Are you sure its 12? 12 * 95 = 1140

I got 16.

Like it or not, Under these situations, the fastest way is to plug in..Even without answer choices , it took me just under a minute.

if you wish to use an equation

(10 + x) (100-y) = 1360

It still makes sense to plug in 2 ,5 ...4,10 and 6,15 ...

i will try to solve this equation if you want.

thanks
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 [#permalink] New post 20 Sep 2003, 00:00
I got 16 or 34.

The equation would be
(100-5x)*(10+2x)=1360.

Just to check the validity - plug in x = 1, occupied seats = 95, unit price = 12. For x=2 occ. seats = 90, unit price = 14.
So now when solved, we get x=3 or 12.

Thus unit price can be 10+2*3 = 16 or 10+2*12 = 34.

Pls. let me know if this is correct !
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 [#permalink] New post 20 Sep 2003, 04:45
tsg wrote:
I got 16 or 34.

The equation would be
(100-5x)*(10+2x)=1360.

Just to check the validity - plug in x = 1, occupied seats = 95, unit price = 12. For x=2 occ. seats = 90, unit price = 14.
So now when solved, we get x=3 or 12.

Thus unit price can be 10+2*3 = 16 or 10+2*12 = 34.

Pls. let me know if this is correct !


True!

I would use the answer choices.. only one of these two solutions will be mentioned in the answer choices...OR maybe the choices can read 16 or 34 ...12 and 45...something like that.

Thanks for the complete solution.
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 [#permalink] New post 21 Sep 2003, 06:02
Your solution is correct- 16 is the right answer
  [#permalink] 21 Sep 2003, 06:02
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