One month ruby worked 6 hours more than isaac, and svetlana worked 4 times as many hours as ruby. together they worked 126 hours. find the number of hours each person worked

Ruby worked 6 hours more than Isaac
Svetlana worked 4 times as many as Ruby
They all worked for 126 hours

We need to find the number of hours of each persons
R = Number of hours did Ruby worked
I = Number of hours did Isaac worked
S = Number of hours did Svetlana worked
total hours = 126

R = 6 + I (6 hours more than isaac)
I = R - 6
S = 4(6 + I)  or 4R
=> (R - 6) + R + 4R
=> 6R = 132
=> R = 22

I = R – 6
=> 22 – 6
=>  16

S = 4(6 + I)  or 4R
=> 4 (6 + 16)
=> 4 (22)
=> 88

Ruby worked for 22 hours, Isaac for 16 hours and Svetlana for 88 hours for a total of 126 hours.