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# The number of singles that a baseball player hit increased 11 percent

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Math Expert
Joined: 02 Sep 2009
Posts: 51280
The number of singles that a baseball player hit increased 11 percent  [#permalink]

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23 Jul 2018, 23:24
00:00

Difficulty:

45% (medium)

Question Stats:

68% (02:00) correct 33% (03:10) wrong based on 40 sessions

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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

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Re: The number of singles that a baseball player hit increased 11 percent  [#permalink]

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24 Jul 2018, 00:24

Solution

Given:
• The number of singles that a baseball player hit increased 11 percent from her first season to her second season
• The the number of doubles that she hit in the same time period decreased by 1 percent
• Total number of singles and doubles that she hit increased 2 percent from her first season to her second season

To find:
• The ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season

Approach and Working:
We can directly get the answer using allegation as follows:

Therefore, the ratio is 3: 9 or 1: 3.

Hence, the correct answer is option A.

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Re: The number of singles that a baseball player hit increased 11 percent  [#permalink]

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24 Jul 2018, 01:28
1
let singles be S and doubles Be D

2nd session singles=111S/100
Doubles=99D/100
Again total single and double increased by 2%

111S/100+99D/100=102/100(S+D)
Dividing by D
111/100(S/D)+99/100=102/100(S/D)+102/100
S/D=1/3
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Joined: 05 Jun 2018
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Re: The number of singles that a baseball player hit increased 11 percent  [#permalink]

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24 Jul 2018, 11:28
I'm new, and my problem solving skills are clunky.

My approach resembles a weighted average solution..

(0.11x) + (-0.01)*(1-x) = 0.02

0.11x - 0.01 + 0.01x = 0.02

0.12x = 0.03

x = 1/4

What the my solution is "saying" is that there were 4 total hits in her first season (doubles and singles). 1 hit was a single, and the other 3 were doubles.

I'm not sure why this was my first instinct.
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Re: The number of singles that a baseball player hit increased 11 percent  [#permalink]

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25 Jul 2018, 16:43
1
Bunuel wrote:
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

Letting S = the number of singles in her first season and D = the number of doubles in her first season, we can create the equation:

1.11S + 0.99D = 1.02(S + D)

111S + 99D = 102S + 102D

9S = 3D

3S = D

S/D = 1/3

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Joined: 28 Jun 2018
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Re: The number of singles that a baseball player hit increased 11 percent  [#permalink]

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27 Jul 2018, 02:40
Where can i learn this method? EgmatQuantExpert
Re: The number of singles that a baseball player hit increased 11 percent &nbs [#permalink] 27 Jul 2018, 02:40
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