Question

Really need help lol...

Kristin lives in Alaska. She drives a car with a 12-gallon fuel tank. When Kristin fills her empty gas tank in Alaska, she has to pay a federal gasoline
tax of $.18 (or 18 cents) per gallon, plus a state gas tax of 8 cents ($.08) per gallon. Her taxes paid for a gallon of gas equal 26 cents.

You can calculate the percentage of a purchase that goes to taxes by dividing the tax amount by the total sale price. If Kristin buys gas at $3.69 per gallon, which includes all taxes, what percentage of the price is the state tax? What percentage is the federal tax?

Answer 1

The first sentence in the second paragraph tells you exactly
how to work this exercise.

For every gallon:

Total sale price = $3.69

State tax = $0.08
Fraction that goes for state tax =

(0.08 / 3.69) = 0.0217 = 2.17 % .

Federal tax = $0.18
Fraction that goes for federal tax =

(0.18 / 3.69) = 0.0488 = 4.88 % .


Extra info that's not asked for:

Total amount of the sale price that goes for taxes =

2.17% + 4.88% = 7.05 % .

Check that: (0.18 + 0.08) / (3.69)

= ( 0.26 / 3.69 ) = 0.0705 = 7.05 % yay!