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.

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