Question 946624
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
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(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