Final answer:
Mrs. Gomez should decide on the number of candies each child will receive and multiply that number by 12 to find the total number of candies needed for the party.
Step-by-step explanation:
The question asks for the total number of candies Mrs. Gomez should buy for her son's birthday party, given that there are 12 children and she wants no remaining candies after dividing them equally. To find the answer, Mrs. Gomez should decide on the number of candies each child will receive. She can then multiply this number by the 12 children to get the total candies she should buy. For example, if she decides that each child should receive 3 candies, then she would need to buy a total of 36 candies (3 candies per child multiplied by 12 children).
It's important to note that Mrs. Gomez can choose any number for the individual candies per child, as long as it is a whole number that will result in no leftover candies when multiplied by 12. The solution will vary depending on the number chosen for the children's individual candy count.