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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

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by BTGmoderatorLU » Thu Jul 01, 2021 6:05 pm

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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

The OA is C
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Re: If 9 marbles were added to a jar of marbles, the number of marbles would be greater than 3 times the original number

by Brent@GMATPrepNow » Fri Jul 02, 2021 5:19 am
BTGmoderatorLU wrote: ↑
Thu Jul 01, 2021 6:05 pm
 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 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

The OA is C
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
Brent Hanneson - Creator of GMATPrepNow.com
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