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A restaurant pays a seafood distributor d dollars for 6 poun
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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?
Re: A restaurant pays a seafood distributor d dollars for 6 poun
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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.
gmatclubot
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