On a particular road map, #1/2# inch represents 18 miles. About how many miles apart are 2 towns that are #2 1/2# inches apart on this map?

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Answer 1 · 2017-11-18T05:10:50

90 miles

In this case we say

#1/2 " inch" = 18 " miles"#

Multiplying both sides by #2# gives

#1 " inch" = 36 " miles"#

Multiplying both sides by the #2 1/2# inches between towns gives

#2 1/2 xx (1 " inch") = 2 1/2 xx (36 " miles")#

#2 1/2 " inches" = 90 " miles"#