A certain movie depicted product A in 21 scenes, product B

[AAPL]

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 products 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.

The OA is D.

(1)
21x + 7x = $560,000
=> x = 560000/28 = 20000
So D paid -> 200000 * 3 = 60000
Sufficient

(2)
7x - 4x = 60000
=> x = 20000
So D paid -> 200000 * 3 = 60000
Sufficient.

The correct answer is D.

Has anyone another strategic approach to solve this PS question? Regards!

[Jay@ManhattanReview]

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 products 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.

The OA is D.

(1)
21x + 7x = $560,000
=> x = 560000/28 = 20000
So D paid -> 200000 * 3 = 60000
Sufficient

(2)
7x - 4x = 60000
=> x = 20000
So D paid -> 200000 * 3 = 60000
Sufficient.

The correct answer is D.

Has anyone another strategic approach to solve this PS question? Regards!

What you've done is fine. Here's another approach.

The ratio of the number of scenes for the products: A : B : C : D :: 21 : 7 : 4 : 3

From (1), we know that the manufacturers of products A and B together paid a total of $560,000 for this advertising.

Thus, from, A : B : C : D :: 21 : 7 : 4 : 3, we know that A : B : C : D : (A + B) :: 21 : 7 : 4 : 3 : (21 + 7) => D : (A + B) :: 3 : 28

Thus, D = (3/28)*560,000 = $60,000. Sufficient.

Same with Statement 2.

Hope this helps!

-Jay
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