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20 Oct 2017, 00:12
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E
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Difficulty:
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Question Stats:
83% (01:34) correct
17%
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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
(A) 2/9*T
(B) 1/3*T
(C) 1/2*T
(D) 2/3*T
(E) 7/9*T
20 Oct 2017, 02:13
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People who ate something else than salad = 1/3*T
People who ordered salads without italian dressing = T*2/3*(1 - 1/3) = T*2/3*2/3 = T*4/9
People who did not eat italian dressing in sum = 1/3T + 4/9T = 7/9 T -> Answer E
People who ordered salads without italian dressing = T*2/3*(1 - 1/3) = T*2/3*2/3 = T*4/9
People who did not eat italian dressing in sum = 1/3T + 4/9T = 7/9 T -> Answer E
20 Oct 2017, 04:29
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No. of people who ate salad = \(\frac{2T}{3}\)
No. of people who ate salad with Italian dressing = \(\frac{2T}{3}*\frac{1}{3}\)
No. of people who did not eat salad with Italian dressing = \(\frac{2T}{3}*\frac{2}{3}\) = \(\frac{4T}{9}\)
No. of people who did not eat any Italian dressing = (T- \(\frac{2T}{3}\))+\(\frac{4T}{9}\)
= \(\frac{1T}{3}\)+ \(\frac{4T}{9}\) = \(\frac{7T}{9}\)
Answer E.
No. of people who ate salad with Italian dressing = \(\frac{2T}{3}*\frac{1}{3}\)
No. of people who did not eat salad with Italian dressing = \(\frac{2T}{3}*\frac{2}{3}\) = \(\frac{4T}{9}\)
No. of people who did not eat any Italian dressing = (T- \(\frac{2T}{3}\))+\(\frac{4T}{9}\)
= \(\frac{1T}{3}\)+ \(\frac{4T}{9}\) = \(\frac{7T}{9}\)
Answer E.
