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

This topic has expert replies
Moderator
Posts: 2599
Joined: Sun Oct 29, 2017 2:08 pm
Followed by:2 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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!
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Sat Jul 14, 2018 11:33 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

AAPL wrote: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
_________________
Manhattan Review GMAT Prep

Locations: Manhattan Review Dilsukhnagar | Hyderabad | Chennai GRE Courses | Madhapur GRE Coaching | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.