This is a problem that i have to solve with matrixes, show me all of the work. i will award brainliest.

at a particular swim meet, 10 points were awarded for each first-place finish, 8 points for second, and 7 points for third.

washington high school had 10 first place finishes, 6 second place finishes and 2 third place finishes.
johnson high school had 8 first place finishes, 9 second place finishes and 1 third place finish.
roosevelt high school had 4 first place finishes, 5 second place finishes and 4 third place finishes.
lewis high school had 3 first place finishes, 3 second place finishes and 6 third place finishes.
find the total number of points for each school. which school won the meet? which school came in second and what was the difference?