Mixture vs linear combination

Let $X_1$ and $X_2$ be independent, $X_1$ gamma with mean 10 and variance 10, and $X_2$ ~ N(3, 4). Let $f_1,f_2$ be their densities. Define Y with density $f(y)=0.4f_1(y)+q{f}_2(y)$. Which of the following are true?