Answer
See below.
Work Step by Step
Let $x$ be the weight of the raisins, then the weight of the nuts is $50-x$, then our equation is: $3.2x+2.4(50-x)=2.72\cdot50\\3.2x+120-2.4x=136\\0.8x=16\\x=20$
Thus she should use $20$ pounds of raisins and $30$ pounds of nuts.