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The player of a certain game drew a number of cards from a deck in which each card was labeled with an integer from 1 to 10. Four more even than odd numbers were drawn. How many times were even numbers drawn?
(1) The player drew 12 cards.
(2) The player received 4 points for each even number and 2 points for each odd number drawn, for a total of 40 points.
(1) The player drew 12 cards.
(2) The player received 4 points for each even number and 2 points for each odd number drawn, for a total of 40 points.
16 Aug 2019, 06:58
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Bunuel
The player of a certain game drew a number of cards from a deck in which each card was labeled with an integer from 1 to 10. Four more even than odd numbers were drawn. How many times were even numbers drawn?
(1) The player drew 12 cards.
(2) The player received 4 points for each even number and 2 points for each odd number drawn, for a total of 40 points.
(1) The player drew 12 cards.
(2) The player received 4 points for each even number and 2 points for each odd number drawn, for a total of 40 points.
given
e=4+0
#1
e+o=12
so 4+2o=12
o=4 and e=8
sufficient
#2
4e+2o=40
or say
16+4o+2o=40
o=4 and e = 8
sufficient
IMO D
Bunuel
The player of a certain game drew a number of cards from a deck in which each card was labeled with an integer from 1 to 10. Four more even than odd numbers were drawn. How many times were even numbers drawn?
(1) The player drew 12 cards.
(2) The player received 4 points for each even number and 2 points for each odd number drawn, for a total of 40 points.
(1) The player drew 12 cards.
(2) The player received 4 points for each even number and 2 points for each odd number drawn, for a total of 40 points.
Given: The player of a certain game drew a number of cards from a deck in which each card was labeled with an integer from 1 to 10. Four more even than odd numbers were drawn.
Asked: How many times were even numbers drawn?
(1) The player drew 12 cards.
Even = Odd + 4
Even + Odd = 12
Even = 8 ; Odd = 4
SUFFICIENT
(2) The player received 4 points for each even number and 2 points for each odd number drawn, for a total of 40 points.
Even = Odd + 4
4 Even + 2 Odd = 40
16 + 6 Odd = 40
Odd = 4; Even = 8
SUFFICIENT
IMO D
