Question 946624
Such common fractions as {{{3/5}}} and {{{7/8}}} suggest that the month should be a nonprime value like 30.


m, how many days in the month used.


(this part is poorly stated, but I leave it here anyway)----{{{(2/5)m}}} is for the {{{7/8}}}of m remaining before the 1 day left still remaining.-----



-----(this part makes good sense)-------
{{{highlight_green((2/5)m-(7/8)((2/5)m)=1)}}}, which required a thought process not easily expressed as steps in the mind.  Try to think what it says as shown, and when understood, solve for m.


{{{(2/5)m-(7/(4*5))m=1}}}
{{{8m-7m=20}}}
{{{highlight(m=20)}}}


This was very likely February which usually has 28 days, and if school is only 5 days per week, then the m=20 accounts as four weeks, therefore most likely February.