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 + 0.18Which 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 + 0.18Subtract 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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