Question

***Please show all work and give explanation*** I'm in algebra 2 and we are working with matrices. So that would be the preferred way to go about solving this problem.

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?

Answer 1

The Washington High School won the meet by scoring 162 points

The Johnson High School came in second place by scoring 159 points, 3 points less than the winner.

Explanation:

Arithmetics

We need to perform a number of basic arithmetics operations and derive conclusions out of the results.

We know that

• 10 points are awarded for each first-place finish
• 8 points are awarded for each second-place finish
• 7 points are awarded for each third-place finish

* Washington High School had 10 first-place finishes, 6 second-place finishes, and 2 third-place finishes.

Total points: 10*10+6*8+2*7=162 total points

* Johnson High School had 8 first-place finishes, 9 second-place finishes, and 1 third-place finish.

Total points: 8*10+9*8+1*7=159 total points

* Roosevelt High School had 4 first-place finishes, 5 second-place finishes, and 4 third-place finishes.

Total points: 4*10+5*8+4*7=108 total points

* Lewis High School had 3 first-place finishes, 3 second-place finishes, and 6 third-place finishes.

Total points: 3*10+3*8+6*7=96 total points

The Washington High School won the meet by scoring 162 points

The Johnson High School came in second place by scoring 159 points, 3 points less than the winner.