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jmc

number theory intermediate

Problem

On a particular map, inches on the map equates to miles in real life. If you know that the real life distance between two buildings on the map is miles, what would the distance between the buildings be (in inches) on the map, expressed as a fraction?
Solution
If we let the distance between the buildings on the map be , then . Cross-multiplying and solving for , we obtain inches. Expressed as a fraction, or inches.
Final answer
15\frac{39}{40}