There are 1600 jelly beans divided between two jards, X and

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BTGmoderatorLU: Moderator; Posts: 2650; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Tue Jun 04, 2019 3:45 pm

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Source: Veritas Prep

There are 1600 jelly beans divided between two jards, X and Y. If there are 100 fewer jelly beans in jar X than three times the number of beans in jar Y, how many beans are in jar X?

A. 375
B. 950
C. 1150
D. 1175
E. 1350

The OA is D

Source: Beat The GMAT — Problem Solving | Tue Jun 04, 2019 3:45 pm

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Ian Stewart: GMAT Instructor; Posts: 2623; Joined: Mon Jun 02, 2008 3:17 amFollowed by: 355 members; Location: Montreal; Thanked: 1090 times; GMAT Score:780

by Ian Stewart » Wed Jun 05, 2019 9:09 am

The wording is awkward, but if we have x beans in jar X, and y beans in jar Y, the question tells us x = 3y - 100. Since x+y = 1600, substituting for 'x' we get

3y - 100 + y = 1600
4y = 1700
y = 425

and the rest of beans, 1600-425 = 1175 beans, are in jar X.

For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Thu Jun 06, 2019 5:01 pm

BTGmoderatorLU wrote:Source: Veritas Prep

There are 1600 jelly beans divided between two jards, X and Y. If there are 100 fewer jelly beans in jar X than three times the number of beans in jar Y, how many beans are in jar X?

A. 375
B. 950
C. 1150
D. 1175
E. 1350

The OA is D

We can let y = the number of jelly beans in jar Y; thus, there are 3y - 100 jelly beans in jar X. We can now create the equation:

3y - 100 + y = 1600

4y = 1700

y = 425

Therefore, there are 3(425) - 100 = 1275 - 100 = 1175 jelly beans in jar X.

Answer: D

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