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Math Expert Joined: 02 Sep 2009 Posts: 87399 In a certain game, a player can accumulate points only by scoring eith
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Hide Show timer StatisticsIn 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 PS20410 _________________ DS Forum Moderator Joined: 19 Oct 2018 Posts: 1938 Location: India
Re: In a certain game, a player can accumulate points only by scoring eith [#permalink]
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 PS20410 Intern Joined: 07 Apr 2020 Posts: 46 Re: In a certain game, a player can accumulate points only by scoring eith [#permalink]
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 PS20410 Let y be the number of Y score i.e., 2 point
3t = 28 – 2y
3t must be an even number. t must be an even number such that 3t ≤ 28
Answer: Option B. GMAT Club Legend Joined: 18 Aug 2017 Status:You learn more from failure than from success. Posts: 7288 Location: India Concentration: Sustainability, Marketing GPA: 4 WE:Marketing (Energy and Utilities) Re: In a certain game, a player can accumulate points only by scoring eith [#permalink] 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 PS20410 given IESE School Moderator Joined: 11 Feb 2019 Posts: 295 Re: In a certain game, a player can accumulate points only by scoring eith
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Say 3x: points by X 3x + 2y =24 x = (24-2y)/3 x can take 5 values. x = 2(12-y)/3 only values for x: 0, e-GMAT Representative Joined: 04 Jan 2015 Posts: 3757 Re: In a certain game, a player can accumulate points only by scoring eith
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Solution Given
o A Y, which counts 2 points To find
Approach and Working out
• 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 GMAT Club Legend Joined: 03 Jun 2019 Posts: 4825 Location: India GMAT 1: 690 Q50 V34 WE:Engineering (Transportation)
Re: In a certain game, a player can accumulate points only
by scoring eith [#permalink]
Given: 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. Asked: 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? Let x be the times X was scored and y be the times Y was scored t = 3x 3x + 2y = 24 (x,y) = {(0,12),(2,9),(4,6),(6,3),(8,0)}: 5 set of values t will have 5 different values. IMO B Kinshook Chaturvedi GMAT Club Legend Joined: 11 Sep 2015 Posts: 6875 Location: Canada
Re: In a certain game, a player can accumulate points only by scoring eith [#permalink]
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 So, if X's are worth 3 points and Y's are worth 2 points, then the TOTAL points = 3X + 2Y (where X and Y represent the number of X's and Y's scored, respectively) So, X can equal 0, 2, 4, 6, or 8, then t can equal 0, 6, 12, 18 or 24 Answer: B Brent Hanneson – Creator of gmatprepnow.com
Re: In a certain game, a player can accumulate points only by scoring eith [#permalink] 15 Feb 2022, 05:34 Moderators: Senior Moderator - Masters Forum 3094 posts |
In a certain game a player can solve
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