Algebra 2 Word Problem: Set up using 3 variables & 3 equations: "A friend e-mails you the results of a recent high school swim meet. The e-mail states that 24 individuals placed, earning a combined total of 53 points. First place earned 3 points, second place earned 2 points, and third place earned 1 point. There were as many first-place finishers as second and third-place finishers combined." A: Write a system of THREE equations that represents how many people finished in each place. B: How many swimmers finished in first place, second and third?

Question

Algebra 2 Word Problem: Set up using 3 variables & 3 equations: "A friend e-mails you the results of a recent high school swim meet.  The e-mail states that 24 individuals placed, earning a combined total of 53 points.  First place earned 3 points, second place earned 2 points, and third place earned 1 point.  There were as many first-place finishers as second and third-place finishers combined." A: Write a system of THREE equations that represents how many people finished in each place. B:  How many swimmers finished in first place, second and third?