If a person commits a crime in one county of the State and is sentenced to a term of imprisonment in a jail in a different county, the county in which the crime was committed shall pay to the other county such sum as may be agreed upon by the county commissioners of the counties for the costs of care and custody, deducting the amount received for labor. If the commissioners do not agree upon the amount to be paid, representation of the facts may be made to the Superior Court or any justice of the Superior Court, and the amount shall be determined by the court or justice, either in term time or vacation. [PL 1985, c. 242 (RPR).]