Modify the standard quota for each state using traditional rounding. Find the sum of the modified quotas. What is the difference between the sum and the house size?

In the movie Black Panther, the hero lives in the fictional country of Wakanda. Imagine that 111 Vibranium artifacts must be distributed among the fortress cities, or birnin, of Wakanda based on the population of each birnin. Use the population and standard quota information in the table below for the following exercises.

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Birnin Birnin Birnin Birnin Djata (D) T'Chaka (T) Zana (Z) S'Yan (S) Birnin Bashenga (B) Birnin Azzaria (A) Total Residents 26,000 57,000 27,000 18,000 64,000 45,000 237,000 Standard Quota 12.18 26.70 12.65 8.43 29.98 21.08 111