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# The 25 players on the Little Sluggers baseball team are supposed to ta

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
The 25 players on the Little Sluggers baseball team are supposed to ta  [#permalink]

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08 Nov 2018, 00:13
1
4
00:00

Difficulty:

15% (low)

Question Stats:

84% (01:34) correct 16% (01:59) wrong based on 94 sessions

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The 25 players on the Little Sluggers baseball team are supposed to take their caps and gloves to each game. At the first game of the season, 22 players took their caps and 18 took their gloves. If 6 players took their caps but not their gloves, how many players took neither cap nor glove to the first game?

A. 1
B. 2
C. 3
D. 4
E. 7

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Re: The 25 players on the Little Sluggers baseball team are supposed to ta  [#permalink]

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08 Nov 2018, 00:21
1
Total = only Caps + only Gloves + both + Neither.

25 = 6 + 2 + 16 + Neither

Neither = 25 - 24 = 1

Option: A

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Re: The 25 players on the Little Sluggers baseball team are supposed to ta  [#permalink]

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08 Nov 2018, 01:59
Bunuel wrote:
The 25 players on the Little Sluggers baseball team are supposed to take their caps and gloves to each game. At the first game of the season, 22 players took their caps and 18 took their gloves. If 6 players took their caps but not their gloves, how many players took neither cap nor glove to the first game?

A. 1
B. 2
C. 3
D. 4
E. 7

Total = 25

6 players took their caps but not their gloves ( only caps) =6

we know 22 players took their caps. Thus both is 16.

Only gloves = 18 - 16 = 2.

Neither = 25 - 6 + 2 + 16 = 1

It means that out of 25 players 24 players took either gloves or caps or both. 1 player didn't take any of them.

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Re: The 25 players on the Little Sluggers baseball team are supposed to ta  [#permalink]

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08 Nov 2018, 03:15
The 25 players on the Little Sluggers baseball team are supposed to take their caps and gloves to each game. At the first game of the season, 22 players took their caps and 18 took their gloves. If 6 players took their caps but not their gloves, how many players took neither cap nor glove to the first game?

A. 1
B. 2
C. 3
D. 4
E. 7

I solved it using 2x2 matrix got 1 option A ..
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Joined: 08 Mar 2018
Posts: 3
Re: The 25 players on the Little Sluggers baseball team are supposed to ta  [#permalink]

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18 Dec 2018, 11:52
Archit3110 wrote:
The 25 players on the Little Sluggers baseball team are supposed to take their caps and gloves to each game. At the first game of the season, 22 players took their caps and 18 took their gloves. If 6 players took their caps but not their gloves, how many players took neither cap nor glove to the first game?

A. 1
B. 2
C. 3
D. 4
E. 7

I solved it using 2x2 matrix got 1 option A ..

could you share the matrix ?
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Re: The 25 players on the Little Sluggers baseball team are supposed to ta  [#permalink]

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18 Dec 2018, 18:33
1
Gruzin

solution attached..

Hope this helps..

Gruzin wrote:
Archit3110 wrote:
The 25 players on the Little Sluggers baseball team are supposed to take their caps and gloves to each game. At the first game of the season, 22 players took their caps and 18 took their gloves. If 6 players took their caps but not their gloves, how many players took neither cap nor glove to the first game?

A. 1
B. 2
C. 3
D. 4
E. 7

I solved it using 2x2 matrix got 1 option A ..

could you share the matrix ?

Attachments

File comment: 2x2 matrix
gloves caps.xlsx [29.94 KiB]

Re: The 25 players on the Little Sluggers baseball team are supposed to ta   [#permalink] 18 Dec 2018, 18:33
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