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

Verified Answer :

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.