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During a road trip, a business traveler purchased $80.64 worth of regu

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During a road trip, a business traveler purchased $80.64 worth of regu [#permalink]

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Question Stats:

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During a road trip, a business traveler purchased $80.64 worth of regular unleaded gasoline, including 12 percent state and federal taxes, for his Sport Utility Vehicle. If the tourist can claim all purchases, excluding taxes, on his trip as business expenses, what is the price per gallon at which he will be reimbursed by his employer?

(1) The business traveler purchased 24 gallons of gasoline during his road trip.

(2) The business traveler paid $0.36 per gallon in state and federal taxes on the gas purchased for the road trip.
[Reveal] Spoiler: OA

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Re: During a road trip, a business traveler purchased $80.64 worth of regu [#permalink]

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New post 26 Sep 2016, 11:57
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First we can set up the equation by the given information
1.12X=80.64 for the total price of ALL the gallons. We get $72
(1) The business traveler purchased 24 gallons of gasoline during his road trip.

Suff. 72/24=$3


(2) The business traveler paid $0.36 per gallon in state and federal taxes on the gas purchased for the road trip.

We know the total price of the gas and tax was $80.64. If we subtract the price of the gas ($72) we get $8.64. If we divide the tax by 0.36 we get 24. Dividing 72 by 24 would get $3.

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Re: During a road trip, a business traveler purchased $80.64 worth of regu [#permalink]

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New post 26 Sep 2016, 12:38
duahsolo wrote:
During a road trip, a business traveler purchased $80.64 worth of regular unleaded gasoline, including 12 percent state and federal taxes, for his Sport Utility Vehicle. If the tourist can claim all purchases, excluding taxes, on his trip as business expenses, what is the price per gallon at which he will be reimbursed by his employer?

(1) The business traveler purchased 24 gallons of gasoline during his road trip.

(2) The business traveler paid $0.36 per gallon in state and federal taxes on the gas purchased for the road trip.



we already know that the total expensiture in taxes is \(T=80.60*(1-\frac{12}{100})\)

so we know also the total amount that he can claim \(TOTAL= $80.64-80.60*(1-\frac{12}{100})\)

to answer the question is sufficient to know the number of gallons purchased,because the question asks \(TOTAL/gallons\)

1) give us directly the number of gallons====> sufficient

2) is the amount of taxes per gallon, but we already know the total amount of taxes. Therefore dividing the total amount of taxes by this new number we can find the number of gallons =====>sufficient

so answer D
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Re: During a road trip, a business traveler purchased $80.64 worth of regu [#permalink]

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Re: During a road trip, a business traveler purchased $80.64 worth of regu   [#permalink] 16 Oct 2017, 07:24
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