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Oliver has twice as many marbles as Ted. Ted has twice as many marbles as Merrill. If the total number of...

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by BTGmoderatorLU » Tue Jul 14, 2020 10:49 am
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Source: Princeton Review

Oliver has twice as many marbles as Ted. Ted has twice as many marbles as Merrill. If the total number of marbles among the three is 28, how many marbles does Ted have?

A. 4
B. 8
C. 12
D. 14
E. 16

The OA is B
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Re: Oliver has twice as many marbles as Ted. Ted has twice as many marbles as Merrill. If the total number of...

by Jay@ManhattanReview » Thu Jul 16, 2020 9:48 pm
BTGmoderatorLU wrote: ↑
Tue Jul 14, 2020 10:49 am
 Source: Princeton Review

Oliver has twice as many marbles as Ted. Ted has twice as many marbles as Merrill. If the total number of marbles among the three is 28, how many marbles does Ted have?

A. 4
B. 8
C. 12
D. 14
E. 16

The OA is B
Say Ted has x marbles; thus, Oliver has 2x marbles and Merrill has x/2 marbles.

=> x + 2x + x/2 = 7x/2 marbles

=> 7x/2 = 28 => x = 8

Correct answer: B

Hope this helps!

-Jay
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Re: Oliver has twice as many marbles as Ted. Ted has twice as many marbles as Merrill. If the total number of...

by deloitte247 » Fri Jul 17, 2020 5:32 am
Let Oliver's marbles = o, Ted's marbles = t and Merrill's marbles = m


o = 2t; t = 2m
o = 2t where t = 2m
o = 2 (2m) = 4m


o + t + m = 28 where o = 4m and t = 2m
4m + 2m + m = 28
7m/7 = 28/7
m = 4


Ted's marbles = 2m where m = 4
Ted's marbles = 2 * 4 = 8


Answer = B
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Re: Oliver has twice as many marbles as Ted. Ted has twice as many marbles as Merrill. If the total number of...

by Scott@TargetTestPrep » Fri Jul 17, 2020 6:47 am
BTGmoderatorLU wrote: ↑
Tue Jul 14, 2020 10:49 am
 Source: Princeton Review

Oliver has twice as many marbles as Ted. Ted has twice as many marbles as Merrill. If the total number of marbles among the three is 28, how many marbles does Ted have?

A. 4
B. 8
C. 12
D. 14
E. 16

The OA is B
Solution:

We can let x = the number of marbles Merrill has. Thus, in terms of x, the number of marbles Ted has is 2x and the number of marbles Oliver has is 2(2x) = 4x. We can create the equation:

x + 2x + 4x = 28

7x = 28

x = 4

Thus, Ted has 2(4) = 8 marbles.

Answer: B

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