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# Of the 200 seniors at Monroe High School, exactly 40 are in the band

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Math Expert
Joined: 02 Sep 2009
Posts: 58335
Of the 200 seniors at Monroe High School, exactly 40 are in the band  [#permalink]

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28 Jan 2019, 00:36
00:00

Difficulty:

15% (low)

Question Stats:

89% (00:51) correct 11% (00:46) wrong based on 33 sessions

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Of the 200 seniors at Monroe High School, 40 are in the band, 60 are in the orchestra, and 10 are in both. How many seniors are in neither the band nor the orchestra?

A. 90
B. 100
C. 110
D. 120
E. 130

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Of the 200 seniors at Monroe High School, exactly 40 are in the band  [#permalink]

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Updated on: 28 Jan 2019, 04:05
1
Bunuel wrote:
Of the 200 seniors at Monroe High School, 40 are in the band, 60 are in the orchestra, and 10 are in both. How many seniors are in neither the band nor the orchestra?

A. 90
B. 100
C. 110
D. 120
E. 130

Total number of seniors = 200

Number of seniors that are in band only = 40-10 = 30

Number of seniors that are in orchestra only = 60 - 10 = 50

Number of seniors that are in both = 10

Number of seniors that are in neither the band nor the orchestra = 200 - 30 - 50 - 10

= 200 - 90

= 110
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Originally posted by Archit3110 on 28 Jan 2019, 03:31.
Last edited by Archit3110 on 28 Jan 2019, 04:05, edited 1 time in total.
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Re: Of the 200 seniors at Monroe High School, exactly 40 are in the band  [#permalink]

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28 Jan 2019, 04:01
Bunuel wrote:
Of the 200 seniors at Monroe High School, 40 are in the band, 60 are in the orchestra, and 10 are in both. How many seniors are in neither the band nor the orchestra?

A. 90
B. 100
C. 110
D. 120
E. 130

Total = 200

In Band = 40

In Orchestra = 60

Both =10

Neither = ?
Total - Neither = In A + In B - Both
200 - Neither = 100 -10
200 -90 = Neither
110 = neither the band nor the orchestra
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Re: Of the 200 seniors at Monroe High School, exactly 40 are in the band   [#permalink] 28 Jan 2019, 04:01
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