Answer
$30n$ and $5n+10$
Work Step by Step
Based on the conditions of the problem, there are $2n$ names in the walk of fame. Each of these costs $\$15$. Therefore, the total cost for these is
$$
15(2n)=30n\text{ dollars}
.$$
Based on the conditions of the problem, there are $n+2$ plain tiles in the walk of fame. Each of these costs $\$5$. Therefore, the total cost for these is
$$
5(n+2)=(5n+10)\text{ dollars}
.$$
Hence, the equation that satisfies the conditions of the problem is
$$
30n+5n+10=500
$$
and the tiles needed to complete the given blanks are $30n$ and $5n+10$.
