One-third of all adults sleep with a teddy bear. What fraction of

Question

One-third of all adults sleep with a teddy bear. What fraction of other adults would need to sleep with a teddy bear in order for 50% of all adults to sleep with a teddy bear ?

A. 1/12
B. 1/6
C. 1/4
D. 1/3
E. 1/2

gmatophobia · Answer

Let's assume there are 6 adults

Given  : One-third of all adults sleep with a teddy bear.

Number of adults who sleep with teddy bear = 1/3 * 6 = 2 
 Number of adults who do not sleep with teddy bear = 6 - 2 = 4

50% of all adults = 1/2 * 6 = 3

As  \frac{1}{3}^{	ext{rd}}  already sleeps with teddy bear we have a deficient of 1 adult. Hence, one of the four adults need to sleep with teddy bear.

Option C

exam_explorer · Answer

Hey,

Can you explain how your assuming the number of adults as 6?

gmatophobia · Answer

I used these two statements

....  One-third of all adults sleep with a teddy bear  .... ⇒  \frac{1}{3}

....  in order for 50% of all  .... ⇒  50 %  = \frac{1}{2}

LCM (2,3) = 6

MakB · Answer

Let the total adults be 90 (just becoz its divisible by 3, easy calculation)
1/3rd = 30 --> take teddy bears, and 60 who don’t.
We want 50% --> 45 total
We need 15 more from 60 adults that do not take teddy bears
So 15/60 = 1/4
Hence, C

CrazyBlender123 · Answer

I mean,
there is no constraint mentioned that you should not assume the number of adults...
You can assume anything, but assuming 6 here just makes your calculations become easier as 6 is divisible by 3.

One-third of all adults sleep with a teddy bear. What fraction of

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One-third of all adults sleep with a teddy bear. What fraction of

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