Question

Starting on Monday, March 29, 2010, Sunny writes down the solution to four new math problems each day; she writes each solution on a separate piece of paper and then files the papers away in her binder. On Saturdays, however, she always manages to misplace three of the problems she worked that day. How many weeks after starting to solve math problems will Sunny have at least 827 solutions in her notebook at 11:59 PM on a Sunday night?

Answer 1

Finding the number of problems per week,

• For six days, 4 problems per day -> 24 solutions
• Saturday: 1 solution

So, she solves 25 problems per week.

If we let the number of weeks be x,

$25x \geq 827 \\ \\ x \geq 827/25 \\ \\ \therefore \lceil x \rceil=\boxed{34}$