Question

Two athletic directors purchased tennis balls and baseballs at the same store. The first athletic director bought 5 tennis balls and 3 baseballs for a total of $23.75. The second athletic director bought 2 tennis balls and 7 baseballs for a total of $31.25. What is the price of a baseball?

Answer 1

The price of a baseball is $3.75. This problem can be solved using an elimination between two equation with two variables in it which are, 5x + 3y = 23.75 and 2x + 7y = 31.25. First, multiply the first equation by 2 and the second equation by 5 which resulting in 10x + 6y = 47.5 and 10x + 35y=  156.25 and then eliminate the x variable resulting in 29y = 108.75. The baseball price can be acquired from this equation (y = 3.75) because y variable represents the baseball price.