A nutritionist tracks the total calories from $F$ servings of fruit and $V$ servings of vegetables consumed by a client. The total calories are $1500$, represented by the equation $180F+120V=1500$. If the calories per fruit serving were reduced by $10\%$, and the calories per vegetable serving increased by $5\%$, what would be the new total calories for $3$ servings of fruit and $5$ servings of vegetables?