Jenn has a blog site. She started blogging on July 30 at 7.30 am. She is posting her posts at exactly 7 hours and 30 minutes apart. When will she post her 730th post?
Teacher tip
Suitable for practicing calendar calculations.
Solution
Jenn will post her 730th post after \(729 \cdot 7.5h = 5467.5h = 227d \; 19h \; 30min\) from her first post. If the next year is a common year, then the day that is exactly 227 days after July 30 is March 14 the next year. So, 19h 30min after 7.30am on March 14 is 3.00am on March 15 the next year, when Jenn will post her 730th post. If the next year is a leap year, similarly, we will obtain that Jenn will post her 730th post at 3.00am on March 14 the next year.
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