SOLUTION: One month,Ruby worked 6 hours more then Isaac,and svetlana worked 4 times as many hours as Ruby. Together they worked 126 hours. Find the number if hours each person worked

Question 1046128: One month,Ruby worked 6 hours more then Isaac,and svetlana worked 4 times as many hours as Ruby. Together they worked 126 hours. Find the number if hours each person worked

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
r = Ruby's hrs
i = Isaac's hrs
s = Svet's hrs
:
write an equation for each statement
:
One month, Ruby worked 6 hours more then Isaac,
r = i + 6
or
i = r - 6
and Svetlana worked 4 times as many hours as Ruby.
s = 4r
Together they worked 126 hours.
r + i + s = 126
replace i with (r-6), replace s with 4r
r + (r-6) + 4r = 126
6r - 6 = 126
6r = 126 + 6
6r = 132
r = 132/6
r = 22 hr for Ruby
then
i = 22 - 6
i = 16 hrs for Isaac
and
s = 4(22)
s = 88 hrs for Svet
:
;
See if that adds up
22 + 16 + 88 = 126

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