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Bunuel
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The Outdoor Adventure Camp offers 1-week sessions. During the first we 27 Feb 2019, 23:26
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B
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Difficulty:

75% (hard)

Question Stats:

63% (03:10) correct 37% (03:18) wrong based on 179 sessions

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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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B
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The Outdoor Adventure Camp offers 1-week sessions. During the first we 28 Feb 2019, 05:33
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Bunuel
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
Show more

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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The Outdoor Adventure Camp offers 1-week sessions. During the first we 14 Aug 2019, 15:39
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Bunuel
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
Show more

Can someone try providing an explanation? Thank you!
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The Outdoor Adventure Camp offers 1-week sessions. During the first we 18 Aug 2019, 19:40
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Bunuel
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
Show more

We can let f = the number of campers who go fishing in week 2. Thus, we can create the equation:

f + 33 - 15 + 49 = 120

f + 67 = 120

f = 53

Since twice as many campers attend week 1 as those who go fishing in week 2, 2 x 53 = 106 campers attend week 1 and hence a total of 106 + 120 = 226 campers attend both weeks.

Answer: B
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The Outdoor Adventure Camp offers 1-week sessions. During the first we 18 Aug 2019, 20:59
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Bunuel
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

We can let f = the number of campers who go fishing in week 2. Thus, we can create the equation:

f + 33 - 15 + 49 = 120

f + 67 = 120

f = 53

Since twice as many campers attend week 1 as those who go fishing in week 2, 2 x 53 = 106 campers attend week 1 and hence a total of 106 + 120 = 226 campers attend both weeks.

Answer: B
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Thank you for providing a very simple explanation :)
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The Outdoor Adventure Camp offers 1-week sessions. During the first we 18 Aug 2019, 23:57
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Bunuel
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
Show more

Please see the solution in image

IMO B
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The Outdoor Adventure Camp offers 1-week sessions. During the first we 21 Aug 2019, 09:41
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Bunuel
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

We can let f = the number of campers who go fishing in week 2. Thus, we can create the equation:

f + 33 - 15 + 49 = 120

f + 67 = 120

f = 53

Since twice as many campers attend week 1 as those who go fishing in week 2, 2 x 53 = 106 campers attend week 1 and hence a total of 106 + 120 = 226 campers attend both weeks.

Answer: B

Thank you for providing a very simple explanation :)
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My pleasure!
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The Outdoor Adventure Camp offers 1-week sessions. During the first we 22 Nov 2024, 11:52
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