Washington High School won the meet.
Johnson High School came in second with 159 points.
Difference between first and second was 3 points.
Step-by-step explanation:
At a particular swim meet, the details of the points which were awarded to the first three places finish are given.
- First place finish got 10 points.
- Second place finish got 8 points.
- Third place finish got 7 points.
To find the total number of points scored by each school is equal to sum of multiplying the respective points which were awarded to number of respective places finish.
i.e. Washington High School had 10 first places finish, so total points for first place finish [tex]= 10 \times10=100[/tex] points.
Similarly, for second places finish = [tex]6\times 8=48[/tex]
and for third places finish = [tex]=2\times 7=14[/tex]
Therefore, Washington High School had total points = 100 + 48 + 14 = 162 points
By using this method, we can make the matrices (Please refer the below attachment).
From the matrices,
Total number of points:
- Washington High School = 162 points
- Johnson High School = 159 points
- Roosevelt High School = 108 points
- Lewis High School = 96 points
Among these scores of four schools, 162 is the highest score. So, Washington High School won the meet.
Johnson High School came in second with 159 points.
Difference between first and second = 162 - 159 = 3 points.
