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

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Retired Moderator
Status: battlecruiser, operational...
Joined: 25 Apr 2010
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Schools: Carey '16
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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5
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25% (medium)

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81% (02:39) correct 19% (02:58) wrong based on 281 sessions

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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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10 Aug 2010, 01:04
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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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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!!!!! Retired Moderator Status: battlecruiser, operational... Joined: 25 Apr 2010 Posts: 927 Schools: Carey '16 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: 123 Location: Bangladesh Concentration: Accounting GMAT Date: 04-06-2013 GPA: 3.65 Re: A certain movie star's salary for each film she makes consis [#permalink] ### Show Tags 25 Feb 2013, 10:34 Really awesome explanation................. SVP Joined: 06 Sep 2013 Posts: 1705 Concentration: Finance 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 Senior Manager Status: Math is psycho-logical Joined: 07 Apr 2014 Posts: 416 Location: Netherlands GMAT Date: 02-11-2015 WE: Psychology and Counseling (Other) 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. EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 13361 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: A certain movie star's salary for each film she makes consis [#permalink] ### Show Tags 07 Mar 2018, 20:00 Hi All, This question involves what's called "system math", which is an algebra concept. We need to translate the given prompt into a couple of algebra equations, then solve. We're told that a total is based on a fixed amount + a percentage of a gross. From the two roles, we can create the following equations: X = fixed amount Y = % of the gross X + Y% of (100 million) = 32 million X + Y% of (60 million) = 24 million We now have a "system" of equations (2 variables with 2 equations, so we CAN solve for X and Y). Subtracting the second equation from the first gives us… Y% of (40 million) = 8 million Y% = 8/40 = 1/5 = 20% Y = 20 Plugging back into either equation, we get… X+ 20% of (100 million) = 32 million X = 12 million With the value of X and Y, we can now answer the question: To make at least 40 million, the minimum gross revenue must be… 12 million + 20% of (Z) = 40 million 20% of (Z) = 28 million Z = 140 million Final Answer: GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Re: A certain movie star's salary for each film she makes consis  [#permalink]

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04 Aug 2018, 07:06
Top Contributor
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

Let F = the fixed amount the star receives for a movie
Let p = the percentage of the gross revenue the star receives for a movie

The star made $32 million on a film that grossed$100 million
So, we can write: F + (p/100)(100) = 32 [we'll assume that 100 and 32 represent 100 million and 32 million]

The star made $24 million on a film that grossed$60 million
So, we can write: F + (p/100)(60) = 24

We now have:
F + (p/100)(100) = 32
F + (p/100)(60) = 24

Subtract the bottom equation from the top equation to get: (p/100)(100) - (p/100)(60) = 8
Factor to get: (p/100)[100 - 60] = 8
Simplify to get: (p/100)[40] = 8
Multiply both sides by 100 to get: 40p = 800
Solve: p = 20

Now that we know the value of p, we can find the value of F
Take F + (p/100)(100) = 32 and replace p with 20 to get: F + (20/100)(100) = 32
Simplify: F + 20 = 32
So, F = 12

So, the star receives 12 million (fixed) PLUS 20% of the gross revenue

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?
Let x = gross revenue the film must generate
We can write: 12 + 20% of x = 40
Rewrite as: 12 + 0.2x = 40
Subtract 12 from both sides: 0.2x = 28
Solve: x = 140 (million)

Cheers,
Brent
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Re: A certain movie star's salary for each film she makes consis &nbs [#permalink] 04 Aug 2018, 07:06
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