Question

A car averages 27 miles per gallon. if gas costs $4.04 per gallon, how much would it cost for this car to travel 2,727 typical miles?

Answer 1

`$408.04`

Explanation:

We are given the ratio `1" gallon" : 27" miles"`
which can also be written as `(1" gallon")/(27" miles")`

Travelling `2,727" miles"` at a ratio of `(1" gallon")/(27" miles")` requires:
`color(white)("XXX")color(red)(cancel(color(black)(2727)))^101color(blue)(cancel(color(black)(" miles"))) xx (1 " gallon")/(color(red)(cancel(color(black)(27)))color(blue)(cancel(color(black)(" miles"))))`

`color(white)("XXX")=101 " gallons"`

At a cost of `($4.04)/"gallon"` this would cost
`color(white)("XXX")($4.04)/color(green)(cancel(color(black)("gallon")))xx101 color(green)(cancel(color(black)(" gallons")))`

`color(white)("XXX")=$408.04`