Adult tickets cost $9$ dollars and child tickets cost $3$. A total of $400$ tickets were sold, and the average profit per sale ($1$ ticket sold at a time) was $\$3.45$. How many times more child tickets were sold than adult tickets?
This is a simplified version of my actual question which would take too long to explain. I don't know if this can be answered but I'm effectively trying to find the ratio of child to adult tickets given the weighted average.
Let $p$ be the proportion of adult tickets. Then $$ 9p + 3(1-p) = 3.45 . $$ Can you find $p$ now?
When you know $p$ can you find the ratio of child to adult tickets? (Assume there are $100$ of them if necessary).