A restaurant pays a seafood distributor d dollars for 6 pounds of Maine lobster. Each pound can make...

BTGmoderatorLU wrote: ↑

Wed May 20, 2020 10:38 am

Source: Manhattan Prep

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 b and v 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

The OA is C

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