Answer
$x=8,y=7$
Work Step by Step
As per the statement: $x+y=15$ and $0.05x+0.10y=1.10$
After plugging the variable $x$ form the first equation in the second equation, we get
$0.05(15-y)+0.10y=1.10 \implies 0.05y=0.35$
or, $y=7$
Now, $x+7=15 \implies x=8$
Thus, $x=8,y=7$