According to the U.S. 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 each of these activities?

According to the U.S. 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 each of these activities?

Question
Equations and inequalities
asked 2020-10-21
According to the U.S. 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 each of these activities?

Answers (1)

2020-10-22
Let x be the number of years sleeping and y be the number of years watching TV.
You devote 37 years to sleeping and watching TV so:
x+y=37(1)
The number of years sleeping will exceed the number of years watching TV by 19 so:
x=y+19(2)
Solve by substitution. Substitute (2) to (1) and solve for yy:
(y+19)+y=37
2y+19=37
2y=18
y=9
Solve for xx using (2):
x=9+19
x=28
So, you spend 28 years sleeping and 9 years watching TV.
0

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