A tiny statue of Tom Brady is 2 8/15 inches tall If the statue uses a scale of 1 inch 2.5 feet, what is Tom Brady's actual height?

1 Answer
Aug 14, 2017

Answer:

#6# feet and #4# inches

Explanation:

First, we can set up a proportion.

#(2 8/15 color(white)i "in")/ (color(red)x color(white)i "ft") = (1 color(white)i "in") / (2.5 color(white)i "ft")#

Now we can cross-multiply and solve for #color(red)x#.

#2 8/15 * 2.5 = 1 color(red)x#

#38/15 * 2.5 = color(red)x# #-># rewrite the mixed number as an improper fraction

#38/15 * 5/2 = color(red)x# #->#rewrite the decimal as an improper fraction

#cancel38^19/cancel15^3 * cancel5^1/cancel2^1 = color(red)x# #-># cancel

#color(red)x = 19/3#

#color(red)x = 6 1/3# #->#rewrite improper fraction as a mixed number

Tom Brady's height is #6 1/3 color(white)i "ft"#, but it would make more sense to write his height using feet and inches.

#1/3# of #1 color(white)i "ft" = 1/3 * 12 color(white)i "in" = 4 color(white)i "in"#

So, Brady's actual height is #6' 4''# or #6# feet and #4# inches.