SOLUTION: Brian O'Reilly earns twice as much each week as a tutor than he does pumping gas. His total weekly wages are $150 more than that of his younger sister. She earns one quarter as muc

Question 227432: Brian O'Reilly earns twice as much each week as a tutor than he does pumping gas. His total weekly wages are $150 more than that of his younger sister. She earns one quarter as much as Brian does as a tutor. How much does Brian earn as a tutor?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Brian's weekly earnings as a tutor
Let = Brian's weekly earnings pumping gas
LKet = Sister's weekly earnings
given:
(1)
(2)
(3)
This is 3 equations and 3 unknowns, so it's solvable
First, substitute (3) in (2)
(2)
(2)
Now solve (1) for and substitute in (2)
(1)

(2)

and, from (1)

and, from (3)

Brian earns $120/wk as a tutor
check:
(2)
(2)

OK
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