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.