### Instruction: What is the greatest number of Sundays that can occur in the first $49$ days of a year?### Response: I want to maximize the number of Sundays in the first $49$ days, so I need to start counting from a Sunday.
If I start from a Sunday, then every seventh day will be a Sunday, so I can divide $49$ by $7$ to get the number of Sundays.
$49 \div 7 = 7$, so there are at most $7$ Sundays in the first $49$ days of a year.