Ryan drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would he need to drive 284 miles?

1 Answer
Feb 5, 2018

Using proportions..

Explanation:

#"miles" -> "gallons of gas"#

#355 "miles" -> 17 "gallons"#

#284 "miles" -> x "gallons"#

Therefore;

#355/284 = 17/x#

Cross multiplying..

#355 xx x = 17 xx 284#

#355x = 4828#

Dividing both sides by #355#

#(355x)/355 = 4828/355#

#(cancel355x)/cancel355 = 4828/355#

#x = 4828/355#

#x = 13.6#

#x ~~ 14#

Hence;

#14# gallons of gas is what he would need to drive #284# miles..