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A certain movie star's salary for each film she makes consis [#permalink]
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09 Aug 2010, 21:18
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A certain movie star's salary for each film she makes consists of a fixed amount, along with a percentage of the gross revenue the film generates. In her last two roles, the star made $32 million on a film that grossed $100 million, and $24 million on a film that grossed $60 million. If the star wants to make at least $40 million on her next film, what is the minimum amount of gross revenue the film must generate? A $110 million B $120 million C $130 million D $140 million E $150 million
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Re: Movie Salary [#permalink]
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10 Aug 2010, 01:59
vwjetty wrote: A certain movie star's salary for each film she makes consists of a fixed amount, along with a percentage of the gross revenue the film generates. In her last two roles, the star made $32 million on a film that grossed $100 million, and $24 million on a film that grossed $60 million. If the star wants to make at least $40 million on her next film, what is the minimum amount of gross revenue the film must generate?
A $110 million B $120 million C $130 million D $140 million E $150 million
can't really figure this out. any help would be great thanks! Basically we have following linear relationship: Salary={Percent}*{Revenue from the film}+{Fixed amount} > \(S=PR+F\) (the same as \(y=ax+b\)). Given: \(32=100P+F\) and \(24=60P+F\). Question: if \(S\geq{40}\) then \(R_{min}=?\) Solving: \(32=100P+F\) and \(24=60P+F\) > subtract 2 from 1 > \(8=40P\) > \(P=0.2\) (so she gets 20% of the revenue) > \(F=12\), so fixed amount is $12 million. So the formula for calculating star's salary is: \(S=0.2R+12\). We want \(S=0.2R+12\geq{40}\) > \(R\geq{140}\) > so \(R_{min}=140\), if the star wants to make at least $40 million on her next film, the film must generate minimum $140 million of gross revenue. Answer: D. Hope it's clear.
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Re: Movie Salary [#permalink]
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answer is D. Let x be fixed income Let y be the % of variable income. x+(y/100)*100 = 32 x+(y/100)*60 = 24 so we get x = 12 and y = 20% then x+0.2(required revenue)= 40. we get required revenue = 140 million dollars



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Re: Movie Salary [#permalink]
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10 Aug 2010, 11:55
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i figured it out as so: a $60 million dollar gross = $24 million and a $100 million dollar gross = $32million we can notice that the difference between the $100 million and $60 million is equal to $40 million. this $40 million equates to an $8 million salary ($32  $24). since we want $40 million in salary, we can add the $8 million difference to the $32 million. if we do that, we also need to add the $40 million difference ($100  $60) to the $100 million. this gives us $140 million. our answer should be $140 million. does this sound clear?
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Re: Movie Salary [#permalink]
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Re: A certain movie star's salary for each film she makes consis [#permalink]
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25 Feb 2013, 11:34
Really awesome explanation.................



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Re: A certain movie star's salary for each film she makes consis [#permalink]
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10 Jan 2014, 06:43
vwjetty wrote: A certain movie star's salary for each film she makes consists of a fixed amount, along with a percentage of the gross revenue the film generates. In her last two roles, the star made $32 million on a film that grossed $100 million, and $24 million on a film that grossed $60 million. If the star wants to make at least $40 million on her next film, what is the minimum amount of gross revenue the film must generate?
A $110 million B $120 million C $130 million D $140 million E $150 million Movie star earned 8 million more in salary with an increase in 40 movie. That is a ratio of 5 times Therefore in order to gain 40 mil she needs an increase of 8 million, which will correspond to an increase in (8*5 = 40 million) in movie Thus 140 is your best choice Hope it helps Cheers J



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Re: A certain movie star's salary for each film she makes consis [#permalink]
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07 Feb 2015, 10:33
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A certain movie star's salary for each film she makes consis [#permalink]
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15 Feb 2015, 15:41
I used sort of a longer approach and it took me almost 4 minutes to solve... But, for those that can calculate fast and don't have to correct calculation mistakes I guess it wouldn't be a problem:
Z is the fixed amount, x/100 the percentage of the revenue she gets and R the revenue of the film. So: \(Z+\)\(\frac{x}{100}\) \(* 100 = 32\), and
\(Z+\)\(\frac{x}{100}\) \(* 60 = 24\)
We subtract the second equation from the first one which leads to: \(\frac{2x}{5}\) \(= 8\)
\(2x = 40\)
\(x = 20\). So we have the % she earns from the revenue of the film.
We replaxe x for 20 in one of our equations: \(Z+\)\(\frac{x}{100}\) \(* 100 = 32\)
\(Z+\)\(\frac{20}{100}\) \(* 100 = 32\)
\(Z = 12\), So, we have the fixed amount.
Now, we know that she wants to get 40 on the next film. So, \(12 +\) \(\frac{20}{100}\)\(*R = 40\)
\(12+0.2R = 40\)
\(0.2R = 28\)
\(R = 140\).
So, ANS D.



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Re: A certain movie star's salary for each film she makes consis [#permalink]
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17 Apr 2016, 11:09
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