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Question

In 2009, the New York Yankees and the Boston Red Sox had the most expensive ticket prices in Major League Baseball.Two Yankees tickets and three Red Sox tickets purchased at their average prices cost $296.66, while three Yankees tickets and two Red Sox tickets cost $319.39. Find the average ticket price for a Yankees ticket and a Red Sox ticket.

Answer 1

2Y+3R=296.66

3Y+2R=319.39

multiply top equation by 3 and multiply bottom equation by 2

6Y+9R=889.98

6Y+4R=638.78

subtract

5R=251.20

R=251.20/5

R=$50.24 for a Red Sox ticket

2Y+3(50.24)=296.66

2Y+150.72=296.66

2Y=296.66-150.72

2Y=145.94

Y=145.94/2

Y=$72.97 for a Yankees ticket