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Math Expert
Joined: 02 Sep 2009
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In a certain game, a player can accumulate points only by scoring eith
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 22 May 2020, 10:27
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49% (01:41) correct 51% (01:44) wrong based on 57 sessions
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In a certain game, a player can accumulate points only by scoring either an X, which counts 3 points, or a Y, which counts 2 points. If a player scored 24 points in the game and t points were made by scoring X's, how many different values could t have? A. Four B. Five C. Six D. Seven E. Eight PS20410
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Joined: 19 Oct 2018
Posts: 1980
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Re: In a certain game, a player can accumulate points only by scoring eith
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22 May 2020, 11:07
3x+2y=24 3x = 24 - 2y = 2(12-y) Since 3x is a multiple of 3, '12-y' or 'y' must be a multiple of 3. y can take 5 values (0, 3, 6, 9 , 12) and so does x. B Bunuel wrote: In a certain game, a player can accumulate points only by scoring either an X, which counts 3 points, or a Y, which counts 2 points. If a player scored 24 points in the game and t points were made by scoring X's, how many different values could t have?
A. Four
B. Five
C. Six
D. Seven
E. Eight
PS20410
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Intern
Joined: 07 Apr 2020
Posts: 44
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Re: In a certain game, a player can accumulate points only by scoring eith
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22 May 2020, 11:34
Bunuel wrote: In a certain game, a player can accumulate points only by scoring either an X, which counts 3 points, or a Y, which counts 2 points. If a player scored 24 points in the game and t points were made by scoring X's, how many different values could t have?
A. Four
B. Five
C. Six
D. Seven
E. Eight
PS20410 Let y be the number of Y score i.e., 2 point 3t + 2y = 28
3t = 28 – 2y
28- 2y is an even number.
3t must be an even number.
t must be an even number such that 3t ≤ 28 t can be 0, 2, 4, 6, and 8
There are 5 different possible values of t. Answer: Option B.
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GMAT Club Legend
Joined: 18 Aug 2017
Posts: 6424
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
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Re: In a certain game, a player can accumulate points only by scoring eith
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22 May 2020, 19:16
Bunuel wrote: In a certain game, a player can accumulate points only by scoring either an X, which counts 3 points, or a Y, which counts 2 points. If a player scored 24 points in the game and t points were made by scoring X's, how many different values could t have?
A. Four
B. Five
C. Six
D. Seven
E. Eight
PS20410 given 3x+2y =24 x = 24-2y/3 x= 2 * ( 12-y)/3 so x can be 0 with y = 12 and value of y =0, 3,6,9, total 5 values OPTION B
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IESE School Moderator
Joined: 11 Feb 2019
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Re: In a certain game, a player can accumulate points only by scoring eith
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23 May 2020, 16:35
Say 3x: points by X 2y: Points by Y 3x + 2y =24 x = (24-2y)/3 for x to be integer: y can take values: 12, 9, 6, 3, 0 x can take 5 values. x = 2(12-y)/3 only values for x: 0,
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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3410
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Re: In a certain game, a player can accumulate points only by scoring eith
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30 May 2020, 21:35
Solution GivenIn this question, we are given that • In a certain game,
o A player can accumulate points only by scoring either an X, which counts 3 points, or
o A Y, which counts 2 points To findWe need to determine • If a player scored 24 points in the game and t points were made by scoring X's, how many different values could t have Approach and Working out• Total points should be of the form 3X + 2Y
• Thus, 3X + 2Y = 24, where X and Y must be ≥ 0
• Possibilities are (X, Y) = (0, 12) or (2, 9) or (4, 6) or (6, 3) or (8, 0) Thus, option B is the correct answer. Correct Answer: Option B
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Re: In a certain game, a player can accumulate points only by scoring eith
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30 May 2020, 21:35
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