Last Tuesday a trucker paid $155.76, including 10 percent state and fe

Last Tuesday a trucker paid $155.76, including 10 percent state and federal taxes, for diesel fuel. What was the price per gallon for the fuel if the taxes are excluded?

(1) The trucker paid $0.118 per gallon in state and federal taxes on the fuel last Tuesday.
(2) The trucker purchased 120 gallons of the fuel last Tuesday.

I think the answer is D.

We know from the stem that 1.10x = 155.76 where x is the price before taxes that the trucker paid.

St1 - The trucker paid $0.118 per gallon in state and federal taxes on the fuel last Tuesday.

Since we can figure out how much tax was paid from the stem (155.76 - (155.76/1.10)) then we can take the resulting difference and divide it by 0.118 to get the number of gallons that were purchased. Then, take the difference of (155.76 - (155.76/1.10) and divide by the number of gallons.

Sufficient

St2 - The trucker purchased 120 gallons of the fuel last Tuesday.
Here - things are made easier for us because we are told the number of gallons point blank.

Sufficient

The answer is D. Tip to solve such a question- Work on the question stem first.

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