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A restaurant pays a seafood distributor d dollars for 6 poun
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20 Dec 2019, 06:00
20 Dec 2019, 06:00
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Question Stats:
60% (03:49) correct
40% (01:51) wrong based on 10 sessions
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A restaurant pays a seafood distributor d dollars for 6 pounds of Maine lobster. Each pound can make v vats of lobster bisque, and each vat makes b bowls of lobster bisque. If the cost of the lobster per bowl is an integer, and if v and b are different prime integers, then which of the following is the smallest possible value of d?
A. 15
B. 24
C. 36
D. 54
E. 90
Kudos for the right answer and explanation
A. 15
B. 24
C. 36
D. 54
E. 90
Kudos for the right answer and explanation
Re: A restaurant pays a seafood distributor d dollars for 6 poun
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21 Dec 2019, 05:34
21 Dec 2019, 05:34
1
To arrive at the smallest value of d we need to determine the cost of per bowl, and we are told that it is an integer, that means it should be divisible.
Total bowls can be made = 6 X v X b => 6vb.
Cost per pound = d/6,
Cost per bowl = d/6vb. choosing 2 as v and 3 as b, = d/6*2*3 => d/36.
Since d/36 is an integer, we can see that d is 36 when small to get $1 as each bowl's cost.
Total bowls can be made = 6 X v X b => 6vb.
Cost per pound = d/6,
Cost per bowl = d/6vb. choosing 2 as v and 3 as b, = d/6*2*3 => d/36.
Since d/36 is an integer, we can see that d is 36 when small to get $1 as each bowl's cost.
gmatclubot
Re: A restaurant pays a seafood distributor d dollars for 6 poun [#permalink]
21 Dec 2019, 05:34
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