SOLUTION: Brian 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 Bria

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Question 740603: Brian 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 josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Brians tutoring income = 2*x
Brians pumping gasoline income = x
Brians WEEKLY income = $150+y
Sister's tutoring income = y
Also, Sister's tutoring income = y+=+%281%2F4%29%282x%29

Analyzing those data seem to indicate relating Brian's weekly income with his sister's income.

Brians earns from pumping gas, x, and from tutoring, 2x. Their sum is this.
150%2By=x%2B2x
3x=y%2B150
highlight%283x-y=150%29

We have a formula for y, his sister's income, so let us substitute this into 3x-y=150;
3x-%28%281%2F4%29%282x%29%29=150
3x-x%2F2=150
%283-1%2F2%29x=150
%285%2F2%29x=150
x=%282%2F5%29%2A150
highlight%28x=60%29, which is Brian's incoming from pumping gasoline.

For his tutoring income, highlight%282%2Ax=120%29 dollars tutoring.