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

[BTGmoderatorLU]

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

[Jay@ManhattanReview]

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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[deloitte247]

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

[Scott@TargetTestPrep]

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