A consumer has budgeted a total of $225 to spend on two goods, X and Y. She likes to consume a unit of good X in combination with good Y. Any unit of X she cannot consume with Y is useless. Similarly, any unit of good Y she cannot consume with good X is useless. The price of a unit of good X is $5, and the price of a unit of good Y is $10. How many units of each good will the consumer purchase? Briefly explain your reasoning.
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