Number of Trades to Cross a Profit Target

A strategy books i.i.d. positive profits $X_1,X_2,\dots$ with $E[X_i]=2.5$. Let $N$ be the first time the running total $S_n=\sum_{i=1}^n X_i$ strictly exceeds $10$; that is, $N=\min\{n:S_n>10\}$. Assuming $E[N]<\infty$, the expected overshoot is known to satisfy $E[S_N]=14$. Use a Wald-style identity to compute $E[N]$.