Quadradic Equation Word Problems - Examples & Practice

Sarah is painting a wall at her school. The wall can fit either a smaller number $a$ of large flowers or a larger number $b$ of small flowers. The numbers $a,b$ are the roots of the quadratic $x^2-22x+96$. Larger flowers give a happiness level of $7$ and smaller flowers give a happiness level of $3$. She can only choose one style and can't mix styles. What style would give the school the largest happiness?