Problema 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 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 provided by our tutors

let 'x' represent the number of highway miles, then '30000-x' represents the number of city miles


miles / miles per gallon = gallons


900 = x/40 + (30000-x)/25

solving for 'x' we have x=20000


there were 20,000 highway miles