SOLUTION: Therese, an outside salesperson, uses her car for both business and pleasure. Last year, she traveled 30,000 miles, using 900 gallons of gasoline. Her car gets 40 miles per gallon

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Question 840022: Therese, an outside salesperson, uses her car for both business and pleasure. Last year, she traveled 30,000 miles, using 900 gallons of gasoline. Her car gets 40 miles per gallon on the highway and 25 in the city. She can deduct all highway travel, but no city travel, on her taxes. How many miles should Therese be allowed as a business expense?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform rates, Fuel Efficiency.
R = fuel efficiency in miles per gallon
d = distance in miles
v = volume in gallons

highlight_green%28highlight_green%28Rd=v%29%29


________________fuel efficiency______________distance_______volume
________________in miles per gallon___________Miles_________Gallons
City____________25__________________________x____________25x
Highway_________40__________________________y____________40y
TOTALS____________________________________30000_________900

In hopes that you can see clearly what to do from here, you need to setup two equations in x and y and solve for the two variables. They are the distances for each type of driving.