In yesterday’s swim meet, North High School dominated in the individual events, with 24 individual-event placers scoring a total of 56 points. REST OF QUESTION IN DESCRIPTION!!

Question

In yesterday’s swim meet, North High School dominated in the individual events, with 24 individual-event placers scoring a total of 56 points. A 1stplace finish scores 5 points, a 2nd place scores 3 points and a 3rd place finish scores 1 point. Having as many 3rd place finishers as 1st and 2nd finishers combined really shows the team’s depth. Find out how many swimmers from North High School finished in each place. 

 

Answer 1

a + b + c = 24

5a + 3b + c = 56

c = a + b

Start playing around to get things to cancel out or what have you.

c = 24 - a - b

c = a + b

If I add those together...

2c = 24

c = 12

Keep going.