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3)
if 7 dancers dance for 8 hours and lose 20 pounds
1 dancer for 8 hours lose 20/7 pounds
1 dancer for 1 hour lose 20/(8*7) pounds
let the new dancers be x
to make her a dancer at par with others (lol in this case to lose weight) we have to devide it by 2
nw time is hours
continuing the above equation..
1 dancer for 4 hours lose [20/(7*8)]*4 pounds
total dancers now... (7+x/2) because lets say x=4 so effectively they are doing same work as the original 2 dancers would do..
(7+x/2) for 4 hours lose [20/(7*8)]*4*(7+x/2)
now the total weight lost is 20 so..
[20/(7*8)]*4*(7+x/2)=20
so effectively
4*(7+x/2) = 8*7
so x=14
interestingly, the above equation can easily be thought of .. wid practice and understanding..
best of luck
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