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

[rkafc81]

hi

having a lot of trouble with this one

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?

$110 million
$120 million
$130 million
$140 million
$150 million


...

Can someone please explain how you would go about identifying the quantities, mathematical relationships and then forming a chart for this problem? (like in the Thursday's with Ron session titled "Organisation for Word Problems")?


thanks!

[jlucero]

Amount Made = Fixed + % of Gross Revenue

Amount Made = Fixed + (x/100) x Gross Revenue

$ = F + ((x/100) x G)

The two statements given tell you the $ and the G, for two different movies that have been made:

32 = F + ((x/100) x 100)
28 = F + ((x/100) x 60)

Once you have these, you can solve for the two missing variables, and plug them into the initial equation- x=20, F=12; and solve for the scenario where $ = 40.

[rkafc81]

cool thanks Jamie - is this the way you'd normally go about extracting the info from these then? literally translating from the words in the question stem, and then working out how all that stuff fits together?

[jlucero]

Yup. Exactly how I'd do it.