Jon spends 1/4 of his vacation budget on food and 2/3 of his budget on hotels. He spends $242 on food and hotels. What is Jon's vacation budget?

Find the proportion of food and hotel from the entire budget

1/4 + 2/3

= 3/12 + 8/12

= 11/12

food and hotel : total budget = 11 : 12

Find the vacation budget

budget = 12/11 * 242

budget = 264

The total of vacation budget is $264