In a sports contest there were m medals awarded on n successive days (n > 1).

On the first day 1 medal and 1/7 of the remaining (m - 1) medals were awarded.

On the second day 2 medals and 1/7 of the now remaining medals was awarded; and so on.

On the nth and last day, the remaining n medals were awarded.

How many days did the contest last, and how many medals were awarded altogether?

on the last day n medals were given , said number being 6/7 of the number left day before after awarding n-1 medals( call it db)

n=6/7 *db

db=7/6*n so n is a multiple of 6: 6, 12, 18...

lets try the smallest one ( 6 awarded last day) and work our way backwards:

there were 6 days:

at the beginning of day 6 ..... 6 medals =6+0

at the beginning of day 6 .....12 medals=5+7

at the beginning of day 6 .....18 medals=4+14

at the beginning of day 6 .....24 medals=3+21

at the beginning of day 6 .....30 medals=2+28

at the beginning of day 6 .....36 medals=1+35

so: the answer is 36 medals awarded

during 6 days 6 each day