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# In a certain forest 1/5 of the trees are Walnuts and 1/6 of the trees

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Math Expert
Joined: 02 Sep 2009
Posts: 61510
In a certain forest 1/5 of the trees are Walnuts and 1/6 of the trees  [#permalink]

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08 Dec 2019, 23:53
00:00

Difficulty:

45% (medium)

Question Stats:

64% (01:38) correct 36% (01:49) wrong based on 39 sessions

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In a certain forest 1/5 of the trees are Walnuts and 1/6 of the trees are Birches. What is the number of birch trees in the forest?

(1) The difference between the number of Walnut trees and the number of Birch trees is greater than 10

(2) There are fewer than 350 total trees

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Re: In a certain forest 1/5 of the trees are Walnuts and 1/6 of the trees  [#permalink]

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09 Dec 2019, 02:07
given
W= x/5 and B= x/6
#1
x/5-x/6 >10
x>300
insufficient
#2
total trees <350
insufficient
from 1 &2
LCM = 30 ; multiple of 300 ; >300 and < 350 ; 330
IMO C; W= 65 and B = 55
sufficient

Bunuel wrote:
In a certain forest 1/5 of the trees are Walnuts and 1/6 of the trees are Birches. What is the number of birch trees in the forest?

(1) The difference between the number of Walnut trees and the number of Birch trees is greater than 10

(2) There are fewer than 350 total trees

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Senior Manager
Joined: 13 Feb 2018
Posts: 499
GMAT 1: 640 Q48 V28
Re: In a certain forest 1/5 of the trees are Walnuts and 1/6 of the trees  [#permalink]

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09 Dec 2019, 08:36
Let the total trees be x
W=x/5
B=x/6

We have to find B

1 stm -- x/5-x/6=x/30; x/30>10 --> x>300. Not Sufficient
2 stm -- x<350; x can be 30, 60 so on untill x<350. Not sufficinet

Together 300<x<350 and the only integer divisible by 30 is 330. Sufficient

IMO
Ans: C
Re: In a certain forest 1/5 of the trees are Walnuts and 1/6 of the trees   [#permalink] 09 Dec 2019, 08:36
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