in a certain state, gasoline stations compute

[mgmat]

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

Answer D.

Can you please go through this?

[Sudhan]

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?


p (price per gallon)= d+ 4% (d) + 0.18

p= 1.04 d+0.18$

1.04d= p-0.18
d= p-0.18/1.04

Hence D

Thanks

[mgmat]

beautifully done. thanks.

[rfernandez]

Nice solution. And a VIC approach would work nicely here, too.

Rey