Final answer:
It is possible to place the 212 cats in 75 rooms, with no more than 3 cats in each room.
Step-by-step explanation:
Aaron volunteers at an animal shelter and is given the task of placing cats in rooms. He is instructed to put no more than 3 cats in the same room. If there are 212 cats and 75 rooms, we need to determine if it is possible to follow this instruction.
To find out, we divide the total number of cats by 3 to get the maximum number of rooms required to accommodate all the cats if there are exactly 3 cats in each room. 212 divided by 3 is equal to 70.67. Since we cannot have a fraction of a room, we need to round up to the nearest whole number, which is 71.
Since we have 75 rooms available and we need a maximum of 71 rooms, it is indeed possible to place the cats in such a way that no more than 3 cats are in the same room.