I could use some help with question 4 in practice test 2 (from MBA/GMAT official). Here's the problem:
A certain movie depicted product A in 21 scenes, product B in 7 scenes, product C in 4 scenes, and product D in 3 scenes. The four product manufacturers paid amounts proportional to the number of scenes in which their product was depicted in the movie. If each manufacturer paid x dollars per scene, how much did the manufacturer of product D pay for this advertising?
(1) The manufacturers of product A and B together paid a total of $560,000 for this advertising.
(2) The manufacturer of product B paid $60,000 more for this advertising than the manufacturer of product C paid.
Presumably, the equation to find the total amount would be: A + B + C + D = $total
Based on what was provided I decided to pick E because I thought:
(1) Only provided the amount that A and B together paid and even if you figure out what A and B individually paid based on that number, you're still missing the total amount paid by ALL product manufacturers (in order to get D's amount).
The equation I came up with was A + B = $560,000
(2) Based on that, you can figure out what C would be but none of the other values are given so you still can't get D.
The equation I came up with was A + (C + 60,000) + C + D = $?
When you put (1) and (2) together, you can get:
560,000 + (560,000/28)*4 + D = $?
but without knowing the total amount, you still can't subtract out D. (Or can you??)
Am I missing something really obvious here...? I don't see how the answer can be D.