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06 May 2026, 22:25
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B
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Difficulty:
55%
(hard)
Question Stats:
57% (02:14) correct
43%
(02:52)
wrong
based on 28
sessions
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A bus carrying 50 tourists stopped at a roadside restaurant. Each tourist ordered exactly one beverage: wine for €6, beer for €5, or water for €1. If the group’s total bill was €199, what is the greatest possible number of tourists who ordered wine?
(A) 28
(B) 29
(C) 30
(D) 31
(E) 33
(A) 28
(B) 29
(C) 30
(D) 31
(E) 33
06 May 2026, 23:03
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kevincan
Let the number of people who order wine, beer and water be w, b and r respectively
w + b + r = 50
6w + 5b + r = 199
subtracting: 5w + 4b = 149
To maximize w, we need to minimise b.
If b = 1: 5w = 149-4 = 145 => w = 29 - possible
(Complete solution: w = 29, b = 1, r = 50 - 29 - 1 = 20)
Answer B
