Problema 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 much as brian does as a tutor.how much does brian earn as a tutor?

Answer provided by our tutors

let


t1 = the money Brian earns tutoring

g = the money Brian earns pumping gas

t2 = the money Brian's sister earns tutoring


Brian earns twice as much each week as a tutor than he does pumping gas


t1 = 2g


his total weekly wages are $150 more than that of his younger sister


t1 + g = 150 + t2


she earns one quarter as much as Brian does as a tutor


t2 = (1/4)t1


by solving the system of equations


t1 = 2g

t1 + g = 150 + t2

t2 = (1/4)t1


we find


t1 = $120


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Brain earns $120 per week tutoring.