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Of the total number of people who ate in a restaurant one ev
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18 Oct 2017, 22:53
18 Oct 2017, 22:53
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Question Stats:
71% (01:25) correct
28% (01:39) wrong based on 28 sessions
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Of the total number of people who ate in a restaurant one evening, 2/3 ordered salads. Of those who ordered salad, 1/3 had Italian dressing on their salad. If the total number of people who ate in the restaurant that night was T, which of the following expressions represents the number of people who did not eat any Italian dressing at the restaurant that evening?
(A) 2/9*T
(B) 1/3*T
(C) 1/2*T
(D) 2/3*T
(E) 7/9*T
Kudos for correct solution.
(A) 2/9*T
(B) 1/3*T
(C) 1/2*T
(D) 2/3*T
(E) 7/9*T
Kudos for correct solution.
Re: Of the total number of people who ate in a restaurant one ev
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18 Oct 2017, 23:59
18 Oct 2017, 23:59
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Bunuel wrote:
Of the total number of people who ate in a restaurant one evening, 2/3 ordered salads. Of those who ordered salad, 1/3 had Italian dressing on their salad. If the total number of people who ate in the restaurant that night was T, which of the following expressions represents the number of people who did not eat any Italian dressing at the restaurant that evening?
(A) 2/9*T
(B) 1/3*T
(C) 1/2*T
(D) 2/3*T
(E) 7/9*T
Kudos for correct solution.
(A) 2/9*T
(B) 1/3*T
(C) 1/2*T
(D) 2/3*T
(E) 7/9*T
Kudos for correct solution.
Let us take the value of T = 9 for easy calculation
Now \(\frac{2}{3}\) of total 9 people ordered salads = \(\frac{2}{3} *9\) = 6 people
and the \(\frac{1}{3}\) of the 6 people had Italian dressing = \(\frac{1}{3} *6\) =2 people
Out of 9 people only 2 of them had Italian dressing = 9-2 =7 people didnot had Italian dressing.
So we need the value to be 7 and looking at the option only E satisfy the above
\(\frac{7}{9}*T\)
i. e \(\frac{7}{9} * 9 =7\) (As we have taken T= 9 )
Re: Of the total number of people who ate in a restaurant one ev
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19 Oct 2017, 00:36
19 Oct 2017, 00:36
Even without the need of numbers, the answer is straightforward.
The number of people who eat Italian dressing is \(\frac{2}{3}\frac{1}{6}T = \frac{2}{9}T\). Thus, those who does not eaten Italian dressing are \((1-\frac{2}{9})T = \frac{7}{9}T\).
Answer E
The number of people who eat Italian dressing is \(\frac{2}{3}\frac{1}{6}T = \frac{2}{9}T\). Thus, those who does not eaten Italian dressing are \((1-\frac{2}{9})T = \frac{7}{9}T\).
Answer E
