SOLUTION: Please help - its my daughters math and I can not figure this out to help her!! Thanks! Sergio walked to and from school on 3/5 of the days in one month. He got a ride to school

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Question 946624: Please help - its my daughters math and I can not figure this out to help her!! Thanks!
Sergio walked to and from school on 3/5 of the days in one month. He got a ride to school on ⅞ of remaining days. On the one remaining day he stayed home with a cold. How many school days were there that month?
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Sergio walked to and from school on 3/5 of the days in one month. He got a ride to school on 7/8 of remaining days. On the one remaining day he stayed home with a cold. How many school days were there that month?
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d = # of school days
---
(3/5)d + (7/8)(d - (3/5)d) + 1 = d
3d/5 + (7/8)*(2d/5) + 1 = 3d/5 + 7d/20 + 1 = d
Multiply by 20 to eliminate fractions
12d + 7d + 20 = 20d
19d + 20 = 20d
d = 20
--> 20 days

Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website!
Such common fractions as and 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)---- is for the of m remaining before the 1 day left still remaining.-----

-----(this part makes good sense)-------
, 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.

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.