One week, Huey worked 7 hours less than Dewey,
and Louie worked twice as long as Huey. Together
they worked 87 hours. Find the number of hours
worked by each.

Respuesta :

Answer:

Number of hour worked by Dewey = 27 hours

Number of hour worked by Huey =  20hours

Number of hours worked by Louie = 40 hours

Step-by-step explanation:

Let x be number of hours worked by Dewey

Number of hour worked by Huey = x - 7

Number of hours worked by Louie = 2*(x-7) = 2*x -2*7 = 2x- 14

Together they worked 87 hours

x + x-7 + 2x-14 = 87

4x - 21 = 87

4x = 87 +21

4x = 108

x = 108/4

x = 27 hours

Number of hour worked by Dewey = 27 hours

Number of hour worked by Huey = x - 7 = 27 - 7 = 20hours

Number of hours worked by Louie = 2x - 14 = 2*27 - 14 = 54 - 14 = 40 hours