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# A certain movie star's salary for each film she makes consis

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A certain movie star's salary for each film she makes consis [#permalink]

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09 Aug 2010, 20:18
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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
[Reveal] Spoiler: OA

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Re: Movie Salary [#permalink]

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10 Aug 2010, 00:59
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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 $$R_{min}=?$$

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? _________________ Paaaaayyy Meeeee!!!!! Moderator Status: battlecruiser, operational... Joined: 25 Apr 2010 Posts: 983 Schools: Carey '16 GMAT 1: Q V Followers: 12 Kudos [?]: 159 [0], given: 71 Re: Movie Salary [#permalink] ### Show Tags 10 Aug 2010, 11:02 awesome explanation guys. thanks. _________________ Manager Status: struggling with GMAT Joined: 06 Dec 2012 Posts: 225 Location: Bangladesh Concentration: Accounting GMAT Date: 04-06-2013 GPA: 3.65 Followers: 14 Kudos [?]: 346 [0], given: 46 Re: A certain movie star's salary for each film she makes consis [#permalink] ### Show Tags 25 Feb 2013, 10:34 Really awesome explanation................. Current Student Joined: 06 Sep 2013 Posts: 2035 Concentration: Finance GMAT 1: 770 Q0 V Followers: 62 Kudos [?]: 594 [0], given: 355 Re: A certain movie star's salary for each film she makes consis [#permalink] ### Show Tags 10 Jan 2014, 05:43 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 GMAT Club Legend Joined: 09 Sep 2013 Posts: 13533 Followers: 577 Kudos [?]: 163 [0], given: 0 Re: A certain movie star's salary for each film she makes consis [#permalink] ### Show Tags 07 Feb 2015, 09:33 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Senior Manager Status: Math is psycho-logical Joined: 07 Apr 2014 Posts: 443 Location: Netherlands GMAT Date: 02-11-2015 WE: Psychology and Counseling (Other) Followers: 2 Kudos [?]: 109 [0], given: 169 A certain movie star's salary for each film she makes consis [#permalink] ### Show Tags 15 Feb 2015, 14:41 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. GMAT Club Legend Joined: 09 Sep 2013 Posts: 13533 Followers: 577 Kudos [?]: 163 [0], given: 0 Re: A certain movie star's salary for each film she makes consis [#permalink] ### Show Tags 17 Apr 2016, 10:09 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: A certain movie star's salary for each film she makes consis [#permalink] 17 Apr 2016, 10:09 Similar topics Replies Last post Similar Topics: To be considered for “movie of the year,” a film must appear in at lea 3 23 Aug 2016, 01:41 6 Mary decided to save a certain amount of her monthly salary each month 5 29 May 2016, 02:40 1 In a certain furniture store, each week Nancy earns a salary of$240 p 5 25 Jun 2015, 03:23
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