How much does Emily earn as a tutor?

Question

Emily earns twice as much each week as a tutor than she does working at the gas station. Her total weekly wages are $150 more than that of her younger brother. He earns one quarter as much as Emily does as a tutor.

Answer 1

Let $T be her tutor earnings. Gas station earnings=T/2. Her brother earns T/4.

Emily's total earnings=3T/2=T/4+150.

T(3/2-1/4)=150, T(6/4-1/4)=150, 5T/4=150, T=(4/5)150=$120.

Emily earns $120 a week as a tutor.