Question 3
The table below displays some of the results of last summer’s Frostbite Falls Fishing Festival, showing how many contestants caught $n$ fish for various values of $n.$
$n$ $0$ $1$ $2$ $3$ $\ldots$ number of contestants
who caught $n$ fish $9$ $5$ $7$ $23$ $\ldots$
$n$ $13$ $14$ $15$ number of contestants
who caught $n$ fish $5$ $2$ $1$
In the newspaper story covering the event, it was reported that
(a) the winner caught $15$ fish;
(b) those who caught $3$ or more fish averaged $6$ fish each;
(c) those who caught $12$ or fewer fish averaged $5$ fish each.
What was the total number of fish caught during the festival?
$n$ $0$ $1$ $2$ $3$ $\ldots$ number of contestants
who caught $n$ fish $9$ $5$ $7$ $23$ $\ldots$
$n$ $13$ $14$ $15$ number of contestants
who caught $n$ fish $5$ $2$ $1$
In the newspaper story covering the event, it was reported that
(a) the winner caught $15$ fish;
(b) those who caught $3$ or more fish averaged $6$ fish each;
(c) those who caught $12$ or fewer fish averaged $5$ fish each.
What was the total number of fish caught during the festival?