Problema Solution

Samuel has found that his new car gets 37 miles per gallon on the highway and 30 miles per gallon in the city. He recently drove 365 miles on 11 gallons of gasoline. How many miles did he drive on the highway? How many miles did he drive in the city?

Answer provided by our tutors

let


x = the miles Samuel drove on highway

y = the miles Samuel drove in the city


He recently drove 365 miles on 11 gallons of gasoline


x + y = 365


x/37 + y/30 = 11


by solving the system of equations we find


x = 185 mi


y = 180 mi


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Samuel drove 185 miles on the highway and 180 miles in the city.