Question

According to the American Bureau of Labor Statistics, you will devote 37 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 19. Over your lifetime, how many years will you spend on each of these activities?

Answer 1

Sleeping = 28 hrs

Watching TV = 9 hrs

Explanation:

1) You know you will spend 37 years doing both things:

• 
  `Sleeping + Watching.TV=37`

2) You also know that you will spend 19 years more sleeping than watching TV:

• 
  `Sleeping = 19+Watching.TV`

3) Substitute your second equation in your first equation:

• 
  `19+Watching.TV+Watching.TV=37\\19+2*Watching.TV=37\\Watching.TV = (37-19)/(2) \\Watching.TV = 9 [years]`

4) Substitute the result in your second equation:

• 
  `Sleeping=19+9\\Sleeping = 28[years]`