In a certain country, the cost of a baseball and a baseball glove is 1540. The cost of the baseball is 440 less than the cost of the baseball glove. What is the cost of the baseball?
Note: All costs are in local currency.
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If x is the cost of the baseball and y is the cost of the baseball glove, we can write:
⎩ ⎨ ⎧ x + y x − y = 1 5 4 0 . . . . . ( 1 ) = − 4 4 0 . . . . . ( 2 )
after ( 1 ) + ( 2 ) , we get,
x + x 2 x x x = 1 5 4 0 + ( − 4 4 0 ) = 1 5 4 0 − 4 4 0 = 2 1 1 0 0 = 5 5 0 .