If 9 marbles were added to a jar of marbles, the number of marbles would be greater than 3 times the original number of marbles. What is the greatest possible number of marbles that were in the jar originally?
A. 2
B. 3
C. 4
D. 5
E. 6
Answer: C
Source: GMAT Prep
If 9 marbles were added to a jar of marbles, the number of marbles would be greater than 3 times the original number of
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x+9 = 3x
x = 4.5
Therefore x < 4.5 so that it's over 3x the original marble so answer is C.
Alternatively, you could just add 9 to the solutions and find the lowest answer that is three times the original solution.
x = 4.5
Therefore x < 4.5 so that it's over 3x the original marble so answer is C.
Alternatively, you could just add 9 to the solutions and find the lowest answer that is three times the original solution.
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Solution:
Let x be the number of marbles originally in the jar. We can create the following inequality:
9 + x > 3x
9 > 2x
4.5 > x
Since x < 4.5 and x is an integer, the greatest possible value of x is 4.
Answer: C
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