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jmc

number theory junior

Problem

A marathon is miles and yards. One mile equals yards.

Leila has run ten marathons in her life. If the total distance Leila covered in these marathons is miles and yards, where , what is the value of ?
Solution
If one marathon equals miles and yards, then ten marathons equal miles and yards. Those yards can be broken down as miles and yards. Therefore, .
Final answer
330