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22 May 2020, 11:27
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B
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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
A. Four
B. Five
C. Six
D. Seven
E. Eight
PS20410
22 May 2020, 12:07
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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
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
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
A. Four
B. Five
C. Six
D. Seven
E. Eight
PS20410
22 May 2020, 12:34
Kudos
Bookmarks
Bunuel
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 pointA. Four
B. Five
C. Six
D. Seven
E. Eight
PS20410
- 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
- There are 5 different possible values of t.
