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.