SOLUTION: According to statistics, a person will devote 33 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 17. Over the lifetim

Algebra ->  Equations -> SOLUTION: According to statistics, a person will devote 33 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 17. Over the lifetim      Log On


   



Question 1163878: According to statistics, a person will devote 33 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 17. Over the lifetime, how many years will the person spend on each of these activities
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
s = number of years sleeping
w = number of years watching tv
s + w = 33
s = w + 17
substitute w + 17 for s to get s + w = 33 becomes w + 17 + w = 33
combine like terms and subtract 17 from both sides of this equation to get 2w = 16
solve for w to get w = 8
s - w = 33 - 8 = 25
the person will spend 25 years sleeping and 8 years watching tv.
25 + 8 = 33 = total time sleeping and watching tv.
25 - 8 = 17 = number of years sleeping exceeds number of years watching tv.
your solution is 25 years sleeping and 8 years watching tv.