Let [tex]x[/tex] be the amount of the 35% solution that will be added. The resulting solution will have a total volume of [tex]15+x[/tex], 38% of which is alcohol. 40% of 15 is 6, so the 40% solution contributes 6 oz of alcohol. So
[tex]0.35x+6=0.38(15+x)\implies x=10[/tex]
oz of the 35% solution need to be added.