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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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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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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

Please see the solution in image

IMO B
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ScottTargetTestPrep
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 :)

My pleasure!
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