A farmer bought a number of pigs for $260. However, 4 of them died before he could sell the rest at a profit of $8 per pig. His total profit was $76. How many pigs did he originally buy?

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A farmer bought a number of pigs for $260. However, 4 of them died before he could sell the rest at a profit of $8 per pig. His total profit was $76. How many pigs did he originally buy?