Answer:
Nick sinks 8 shots and misses 20 shots.
Step-by-step explanation:
Let x be the number of shots Nick sinks. Nick attempts a total of 28 shots, then 28-x is the number of shots Nick misses.
Nick is given 5 points by his father for each shot he sinks, then he is given 5x points for x such shots.
Nick's Dad takes 2 points away for each missed shot, so he takes away 2(28-x) points for 28-x missed shots.
In total, Nick earnes [tex]5x-2(28-x)[/tex] points.
Nick ends up with zero points, so
[tex]5x-2(28-x)=0\\ \\5x-56+2x=0\\ \\7x=56\\ \\x=8\\ \\28-8=20[/tex]
Hence, Nick sinks 8 shots and misses 20 shots.
