BTGmoderatorDC wrote:Of 30 snakes at the reptile house, 10 have stripes, 21 are poisonous, and 5 have no stripes and are not poisonous. How many of the snakes have stripes AND are poisonous?
A. 4
B. 6
C. 9
D. 15
E. 20
OA B
Source: Manhattan Prep
Given that there are 5 snakes that have no stripes and are not poisonous, there are 30 - 5 = 25 snakes that either have stripes or are poisonous.
Say,
there are x snakes that have stripes and are poisonous. Thus,
there are (10 - x) snakes that have stripes but are not poisonous, and
there are (21 - x) snakes that are poisonous but do not have stripes.
=> 25 = (21 - x) + (10 - x) + x
=> x = 6
The correct answer:
B
Hope this helps!
-Jay
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