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The Outdoor Adventure Camp offers 1-week sessions. During the first we

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The Outdoor Adventure Camp offers 1-week sessions. During the first we  [#permalink]

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New post 27 Feb 2019, 23:26
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The Outdoor Adventure Camp offers 1-week sessions. During the first week, 44 campers go fishing, 33 go orienteering, and 37 do neither activity. The same number of campers goes orienteering in week 2 as in week 1, and 15 campers in week 2 do both activities. If 49 of the 120 campers who attend week 2 do neither activity, and twice as many campers attend week 1 as go fishing in week 2, then how many total campers attended these 2 weeks?

A. 196
B. 226
C. 234
D. 360
E. 662

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Re: The Outdoor Adventure Camp offers 1-week sessions. During the first we  [#permalink]

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New post 28 Feb 2019, 05:33
Bunuel wrote:
The Outdoor Adventure Camp offers 1-week sessions. During the first week, 44 campers go fishing, 33 go orienteering, and 37 do neither activity. The same number of campers goes orienteering in week 2 as in week 1, and 15 campers in week 2 do both activities. If 49 of the 120 campers who attend week 2 do neither activity, and twice as many campers attend week 1 as go fishing in week 2, then how many total campers attended these 2 weeks?

A. 196
B. 226
C. 234
D. 360
E. 662


Total = Group1 + Group2 + Neither − Both, for each week.
Let fishing be Group1 and orienteering be Group2
for week 1, Total = 44 + 33 + 37 − Both;
for week 2, 120 = Group1 + 33 + 49 − 15.
Solve for Group1 ,we get 53 people went fishing in week 2.
Twice that many, or 106, attended week 1 overall, and over the 2 weeks the camp was attended by a total of 106 + 120 = 226 people.
IMO B
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Re: The Outdoor Adventure Camp offers 1-week sessions. During the first we   [#permalink] 28 Feb 2019, 05:33
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