Brian O'Reily 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?

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To find out how much Brian earns as a tutor, let's break down the information step by step.

1. Let's assume the amount Brian earns pumping gas is X dollars per week.
2. According to the information given, Brian earns twice as much as a tutor, so his earnings as a tutor would be 2X dollars per week.
3. We also know that Brian's younger sister earns $150 less than Brian's total earnings each week.
4. Let's denote Brian's sister's earnings as Y dollars per week. So, Brian's total earnings each week would be Y + $150.
5. Finally, it's mentioned that Brian's sister earns one quarter as much as Brian does as a tutor. Therefore, Brian's sister's earnings as a tutor would be (1/4) * (2X) = X/2 dollars per week.

Now, we can set up an equation to solve for X, Brian's earnings as a tutor:

Y + $150 = 2X

Since we don't have the specific value for Y, we cannot solve for X or determine Brian's exact earnings as a tutor.