A restaurant pays a seafood distributor d dollars for 6 poun

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

A restaurant pays a seafood distributor d dollars for 6 poun

by BTGmoderatorDC » Fri Aug 17, 2018 9:46 pm

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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

OA C

Source: Manhattan GMAT

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Source: Beat The GMAT — Problem Solving | Fri Aug 17, 2018 9:46 pm

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by Scott@TargetTestPrep » Thu Aug 23, 2018 3:51 pm

BTGmoderatorDC wrote: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

Since we are looking for the smallest possible value of d, we can let v = 2 and b = 3. That is, a pound of lobster can make 2 vats of lobster bisque and each vat makes 3 bowls of lobster bisque. Therefore, a pound of lobster can make 6 bowls of lobster bisque. We can assume that the cost of each bowl of lobster bisque is $1. So 6 bowls = $6. In other words, a pound of lobster makes $6, so 6 pounds of lobster is (at least) $36.

Answer: C

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