MATH SOLVE

3 months ago

Q:
# julio has found that his new car gets 36 miles to the gallon on the highway and 31 miles per gallon in the city. he recently drove 397 miles on 12 gallons of gasoline. how many miles did he drive on the highway? How many miles did he drive in the city?

Accepted Solution

A:

Answer:Miles he drove on highway = 180 milesMiles he drove in the city = 217 milesStep-by-step explanation:Lets assume that gallon used on highway = xMiles driven on highway = y(I) 36 miles per gallon on the highway.36x = y equation 1(II) 31 miles per gallon in the city.He recently drove 397 miles on 12 gallons of gasoline31(12-x)= 397-y equation 2372-31x= 397-yCombine the constants:-31x= 397-372-yy-31x = 25Now substitute the value of equation 1 in equation 2y-31x=2536x-31x=255x=25Now divide both sides by 55x/5=25/5x=5Now substitute the value x=5 in equation 136x=y36(5)=y180= yNow subtract the miles driven on highway from recently drove miles to get the miles driven in the city.397-y = 389 - 180= 217Therefore,Miles he drove on highway = 180 milesMiles he drove in the city = 217 miles ....