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In a certain state, gasoline stations compute the price per
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Updated on: 10 Mar 2014, 23:52

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In a certain state, gasoline stations compute the price per gallon "p", in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon "d", in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon "d" in terms of the price per gallon "p" charged at the pump?

A. d = p-0.22 B. d = p/1.22 C. d = p/1.04 - 0.18 D. d= (p-0.18)/1.04 E. d = (p-0.04)/1.18

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Originally posted by aiming4mba on 07 Sep 2010, 12:36.
Last edited by Bunuel on 10 Mar 2014, 23:52, edited 1 time in total.

In a certain state, gasoline stations compute the price per gallon "p", in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon "d", in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon "d" in terms of the price per gallon "p" charged at the pump?

a. d=p-0.22 b. d=p/1.22 c. d=p/1.04 - 0.18 d. d= p-0.18/1.04 e. d = p-0.04/1.18

Price per gallon \(p\) equals to \(d+0.04d\) (dealer's price \(d\) plus 4%) plus \(0.18\), so \(p=d+0.04d+0.18\) --> \(p=1.04d+0.18\) --> \(d=\frac{p-0.18}{1.04}\).

In a certain state, gasoline stations compute the price per gallon "p", in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon "d", in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon "d" in terms of the price per gallon "p" charged at the pump?

a. d=p-0.22 b. d=p/1.22 c. d=p/1.04 - 0.18 d. d= p-0.18/1.04 e. d = p-0.04/1.18

Price per gallon \(p\) equals to \(d+0.04d\) (dealer's price \(d\) plus 4%) plus \(0.18\), so \(p=d+0.04d+0.18\) --> \(p=1.04d+0.18\) --> \(d=\frac{p-0.18}{1.04}\).

Answer: D.

I picked C. I divided the 1.04 with P before subtracting 0.18. What rule is there that I am unaware of here?

In a certain state, gasoline stations compute the price per gallon "p", in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon "d", in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon "d" in terms of the price per gallon "p" charged at the pump?

a. d=p-0.22 b. d=p/1.22 c. d=p/1.04 - 0.18 d. d= p-0.18/1.04 e. d = p-0.04/1.18

Price per gallon \(p\) equals to \(d+0.04d\) (dealer's price \(d\) plus 4%) plus \(0.18\), so \(p=d+0.04d+0.18\) --> \(p=1.04d+0.18\) --> \(d=\frac{p-0.18}{1.04}\).

Answer: D.

I picked C. I divided the 1.04 with P before subtracting 0.18. What rule is there that I am unaware of here?

Substraction has to be done first, & then the whole term to be divided by 1.04
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In a certain state, gasoline stations compute the price per
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18 Dec 2015, 05:18

ok lemme offer my 6 pence. Answer is D.

Why border ourselves solving formulars when our aim isn't to become Enstein but to pick the right answer. we can always solve confusing questions by picking a simple number. the simplest number here is one so we don't do any Enstein level calculation. let dealers price (d) be 1. so adding 4% to dealers price is d+ 4% of d. i.e. 1 + 4% of 1 which is 1 + 0.04. then add 0.18 to the value. Now 1.04 + 0.18. this is now 1.22. you have the gasoline stations price (p) as 1.22 dollars. Now sub 1.22 in the options to know which option gave you d = 1. d must equal 1 because you earlier picked 1 as the value of d in the question.

PS: always remember to start from E upwards. thank you.

Re: In a certain state, gasoline stations compute the price per
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26 Nov 2018, 10:40

Top Contributor

aiming4mba wrote:

In a certain state, gasoline stations compute the price per gallon "p", in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon "d", in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon "d" in terms of the price per gallon "p" charged at the pump?

A. d = p-0.22 B. d = p/1.22 C. d = p/1.04 - 0.18 D. d= (p-0.18)/1.04 E. d = (p-0.04)/1.18

In a certain state, gasoline stations compute the price per gallon "p", in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon "d", in dollars . . . We can write: p = d + 4% of d = d + 0.04d = 1.04d So, we have: p = 1.04d

. . . and then adding a gasoline tax of $0.18 per gallon. We get: p = 1.04d + 0.18

Which of the following gives the dealer's price per gallon "d" in terms of the price per gallon "p" charged at the pump? We need to take p = 1.04d + 0.18 and solve for d

Take: p = 1.04d + 0.18 Subtract 0.18 from both sides to get: p - 0.18 = 1.04d Divide both sides by 1.04 to get: (p - 0.18)/1.04 = d

Answer: D

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Re: In a certain state, gasoline stations compute the price per &nbs
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