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This is a problem that I have to solve with matrixes, Please 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?

Respuesta :

Answer:

The total points by Washington High School =  162 points

The total points by  Johnson High School   =  159 points

The total points by  Roosevelt High School =  108 points

The total points by  Lewis High School =  196 points

Washington High School  has WON the meet.

Johnson High School came second.

The difference in the points= 2 points

Step-by-step explanation:

Points awarded for first place = 10 points

Points awarded for second place = 8 points

Points awarded for third place = 7 points

About Washington High School

10 first places  = 10 x ( 10) = 100 points

6 second places  = 6 x ( 8) = 48 points

2 first places  = 2 x ( 7) = 14 points

So, the total points by  Washington High School  = Sum of all points  

=  100 + 48 + 14   =  162 points     .............. (1)

About Johnson High School

8 first places  = 8 x ( 10) = 80 points

9 second places  = 9 x ( 8) = 72 points

1 first places  = 1 x ( 7) = 7 points

So, the total points by  Johnson High School  = Sum of all points  

=  80 + 72 + 7   =  159 points    .............. (2)

About Roosevelt High School

4 first places  = 4 x ( 10) = 40 points

5 second places  = 5 x ( 8) = 40 points

4 first places  = 4 x ( 7) = 28 points

So, the total points by  Roosevelt High School  = Sum of all points  

=  40 + 40 + 28   =  108 points  .............. (3)

About Lewis High School

3 first places  = 3 x ( 10) = 30 points

3 second places  = 3 x ( 8) = 24 points

6 first places  = 6 x ( 7) = 42 points

So, the total points by  Lewis High School  = Sum of all points  

=  30 + 42 + 24   =  96 points      .............. (4)

Now, comparing all four equation, we get that:

Washington High School  has WON the meet.

Johnson High School came second.

The difference in the points  = 162 - 159 = 2 points

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