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22 May 2020, 08:26
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C
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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
PS21167
A. 2
B. 3
C. 4
D. 5
E. 6
PS21167
22 May 2020, 08:54
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Bunuel
\(m + 9 > 3m\)
Or, \(9 > 2m\)
Or, \(m < 4.5\)
Among the given options only (C) fits in perfectly, Answer must be (C) 4
22 May 2020, 09:16
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Bunuel
If 9 marbles were added to a jar of marbles....
Let x = the ORIGINAL number of marbles in the jar
So, x + 9 = the NEW number of marbles in the jar
..., the number of marbles would be greater than 3 times the original number of marbles
In other words: (the NEW number of marbles in the jar) > 3(the ORIGINAL number of marbles in the jar)
In other words: x + 9 > 3x
Subtract x from both sides of the inequality to get: 9 > 2x
Divide both sides by 2 to get: 4.5 > x
In other words, the ORIGINAL number of marbles is less than 4.5
What is the greatest possible number of marbles that were in the jar originally?
4 is the biggest integer value that's less than 4.5
Answer: C
Cheers,
Brent
