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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

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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

by BTGModeratorVI » Thu Jun 11, 2020 8:35 am

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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

Answer: 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

by RaghavKhanna » Thu Jun 11, 2020 8:42 pm
Initial number of marbles = x

x+9 > 3x
=> 2x < 9
=> x < 4.5

=> Greatest possible number of marbles = 4
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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

by Brent@GMATPrepNow » Fri Jun 12, 2020 6:15 am
BTGModeratorVI wrote: ↑
Thu Jun 11, 2020 8:35 am
 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....
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

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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

by Scott@TargetTestPrep » Wed Jun 17, 2020 3:16 am
BTGModeratorVI wrote: ↑
Thu Jun 11, 2020 8:35 am
 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
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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