A marathon is $26$ miles and $385$ yards. One mile equals $1760$ yards.

Leila has run ten marathons in her life. If the total distance Leila covered in these marathons is $m$ miles and $y$ yards, where $0\le y<1760$, what is the value of $y$?
To find the total distance Leila covered in these marathons, I need to multiply the distance of one marathon by ten. One marathon is $26$ miles and $385$ yards, so ten marathons are $260$ miles and $3850$ yards. However, this is not in the form of $m$ miles and $y$ yards, where $0\le y<1760$, because $3850$ is larger than $1760$. To convert some of the yards into miles, I need to divide $3850$ by $1760$, which gives me $2$ with a remainder of $330$. This means that $3850$ yards is the same as $2$ miles and $330$ yards. So, adding this to the $260$ miles I already have, I get $262$ miles and $330$ yards. Therefore, the value of $y$ is $330$. 