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The number of singles that a baseball player hit increased

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The number of singles that a baseball player hit increased [#permalink] New post 10 Jan 2012, 01:22
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

75% (04:58) correct 25% (03:26) wrong based on 4 sessions
The number of singles that a baseball player hit increased 11 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 1 percent. If the total number of singles and doubles that she hit increased 2 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?

(A) 1:3
(B) 9:11
(C) 1:1
(D) 2:1
(E) 11:3

I want to know how to solve this problem with plugging-in numbers in short time.
[Reveal] Spoiler: OA
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Re: DS from practice test -2 [#permalink] New post 10 Jan 2012, 01:47
Weighted averages is a better and faster solution than "plugging-in numbers".
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Re: DS from practice test -2 [#permalink] New post 10 Jan 2012, 01:54
blink005 wrote:
Weighted averages is a better and faster solution than "plugging-in numbers".


Can you pls elaborate weighed average approach for this problem?
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Re: DS from practice test -2 [#permalink] New post 10 Jan 2012, 02:20
The total increase of 2% is much closer to -1% (due to the number of doubles) than to 11% (due to the number of singles).
Thus, lot more doubles than singles are needed, & the ratio of singles:doubles must be heavily biased to the number of doubles.

Eliminate B, C, D and E.
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Re: DS from practice test -2 [#permalink] New post 10 Jan 2012, 13:32
You can do POE but you would rather spend some time solving for the solution than deciding between whats left after POE. If you know that you can solve, why guess.

Quick solution under 2 minutes:

1.11S + 0.99D = 1.02[S + d]
0.09S = 0.03D
S/D = 1/3
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Re: DS from practice test -2   [#permalink] 10 Jan 2012, 13:32
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The number of singles that a baseball player hit increased

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