On the trip from KC to Springfield, the church van consumed 15 gallons of gas to go 179 miles. If gas cost $2.58 per gallon, what is the cost of a round trip to Springfield? (Total 358)

GIVEN: On the trip from KC to Springfield, the church van consumed [tex]15[/tex] gallons of gas to go [tex]179[/tex] miles. If gas cost [tex]\$2.58[/tex] per gallon.

TO FIND: Cost of a round trip to Springfield.

SOLUTION:

Distance of springfield from KC [tex]=179\text{ miles}[/tex]

As it is a round trip total distance [tex]=2\times179=358\text{ miles}[/tex]

As [tex]15[/tex] gallons gas used for [tex]179[/tex] miles distance

gas required for [tex]1[/tex] mile [tex]=\frac{15}{179}[/tex] gallons

gas required for [tex]358[/tex] miles [tex]=\frac{15}{179}\times2=30[/tex] gallons

cost of one gallon of gas [tex]=\$2.58[/tex]

cost of [tex]30[/tex] gallons of gas [tex]=30\times2.58=\$77.4[/tex]

Hence cost of roundtrip to Springfield is $77.4