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23 Mar 2026, 02:54
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D
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Difficulty:
85%
(hard)
Question Stats:
32% (02:19) correct
68%
(03:01)
wrong
based on 22
sessions
History
Date
Time
Result
Not Attempted Yet
Fay bought several bottles of each of two types of wine: dessert wine and red wine. Each bottle of dessert wine contains 375 milliliters and costs $30, and each bottle of red wine contains 750 milliliters and costs $24. If the average price per liter of the wine she purchased was $56, at least how many bottles of wine did she buy ?
A. 3
B. 4
C. 5
D. 6
E. 8
A. 3
B. 4
C. 5
D. 6
E. 8
23 Mar 2026, 07:40
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kevincan
Fay bought SEVERAL BOTTLES. So, the count of bottles is greater than 1.
Desert wine 375 ml costs $30. So, the 1000 ml costs $80. Let the number of bottles be a.
Similarly, red wine 750 ml costs $24. So, the 1000 ml costs $32. Let the number of bottles be b.
Using alligation and mixtures,
80. 32
56
24. : 24
The ratio of litres = 1:1
The number of bottles is given by (a * 0.375) / (b*0.750) = 1/1
(a * 0.375) = (b*0.750)
(a/b) = 750/375
(a/b) = (2/1)
So, the total bottles = 2+1 = 3. ( if the question is not worded as several bottles).
Thus, the minimum number of bottles = 2*3 = 6 bottles.
option D
[b]kevincan [/b]Nice trap, Interesting Question - thanks once again. 🤩
