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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 M7MBA » Tue Sep 15, 2020 5:37 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 original number

by PhillipZhang87 » Tue Sep 15, 2020 5:58 pm
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.
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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 Scott@TargetTestPrep » Fri Sep 18, 2020 6:15 am
M7MBA wrote: ↑
Tue Sep 15, 2020 5:37 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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