Karl bought 4,400 yards of fabric. How many miles of fabric did Karl buy?

2 Answers
Sep 18, 2017

See a solution process below:

Explanation:

The conversion factor for miles to yards is:

1 miles is 1760 yards

Or

#(1"mi")/(1760"yds")#

To find how miles of fabric in 4,400 yards we can write and solve for #f#:

#f/(4400"yds") = (1"mi")/(1760"yds")#

#color(red)(4400)color(blue)("yds") xx f/(4400"yds") = color(red)(4400)color(blue)("yds") xx (1"mi")/(1760"yds")#

#cancel(color(red)(4400)color(blue)("yds")) xx f/cancel((4400"yds")) = color(red)(4400)cancel(color(blue)("yds")) xx (1"mi")/(1760color(blue)(cancel(color(black)("yds"))))#

#f = (color(red)(4400)"mi")/1760

#f = 2.5"mi"#

Karl bought 2.5 miles of fabric.

Sep 20, 2017

Karl bought #2.5# miles of fabric.

Explanation:

#"1 mi=1760 yd"#

There are two possible conversion factors from this equality.

#"1 mi"/"1760 yd"# and #"1760 yd"/"1 mi"#

Multiply the number of yards of fabric by the first conversion factor, because that will cancel yards and leave miles.

#4400color(red)cancel(color(black)("yd"))xx(1"mi")/(1760color(red)cancel(color(black)("yd")))="2.5 mi"#