How are scales and ratios related?

1 Answer
May 30, 2018

Answer:

A scale is always in the form #1 : n#

A ratio compares two or more quantities.

Explanation:

A scale is a specific type of ratio.

It compares a unit on a map or plan or on a scaled model to an actual distance on a map or the size of a real object.

A scale is given in the form: #" "1" ":" "n#

On a map, a scale of #" "1:50" "# means

#" "1cm# on the map represents #50cm# on the ground (in reality)

or #" "200mm" "# on a plan to this scale, indicates a length of
#200xx50=10,000mm# in reality.

A ratio is a comparison between two or more quantities of the same type.

e.g: girls : boys are in the ratio # 4:3# means that:

for every #4# girls there are #3# boys.

If there are #35# children in a class with this ratio, we have:

#4/7 # of the class are girls (which means #4/7 xx35 = 20# girls.)

#3/4# of the class are boys (which means #3/7xx35 = 15# boys.)