Linda, Robert, and Pat packed a certain number of boxes with

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AAPL: Moderator; Posts: 2636; Joined: Sun Oct 29, 2017 2:08 pmFollowed by: 2 members

by AAPL » Fri Sep 27, 2019 12:37 am

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Linda, Robert, and Pat packed a certain number of boxes with books. What is the ratio of the number of boxes of books that Robert packed to the number of boxes of books that Pat packed?

1) Linda packed 30 percent of the total number of boxes of books.
2) Robert packed 10 more boxes of books than Pat did.

OA E

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Source: Beat The GMAT — Data Sufficiency | Fri Sep 27, 2019 12:37 am

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 amFollowed by: 34 members; Location: Grand Central / New York; Thanked: 470 times

by Jay@ManhattanReview » Mon Sep 30, 2019 7:55 pm

AAPL wrote:GMAT Prep

Linda, Robert, and Pat packed a certain number of boxes with books. What is the ratio of the number of boxes of books that Robert packed to the number of boxes of books that Pat packed?

1) Linda packed 30 percent of the total number of boxes of books.
2) Robert packed 10 more boxes of books than Pat did.

OA E

Say the Linda, Robert, and Pat each packed l, r, and p number of books, respectively.

We have to get the value of r/p.

Let's take each statement one by one.

1) Linda packed 30 percent of the total number of boxes of books.

Say the total no. of books = x.

=> l = 0.3x => r + p = 0.7x. However, we can't get the value of r/p. Insufficient.

2) Robert packed 10 more boxes of books than Pat did.

=> r = p + 10. However, we can't get the value of r/p. Insufficient.

(1) and (2) together

So, we have l = 0.3x; r + p = 0.7x; and r = p + 10. Thus, p = 0.35x - 10 and r = 0.35x + 5.

Thus, r/p = (0.35x + 5)/(0.35x - 5)

However, we can't get the unique value of r/p. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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