AMO 2027 Grades 9-11 SET 2 - Self-study Question 13

Consider negative integers as Cold Cubes and positive integers as Hot Cubes. Adding 5 Hot Cubes raises a liquid's temperature by five degrees, and adding 5 Cold Cubes lowers it by five degrees. How many Cold Cubes must be removed from a liquid at $-97$ degrees to reach $-42$ degrees? Use this integer model, in which each cube changes the temperature by one degree.



Choose one option.