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In the first week of May, a custom fencing company sold 400 feet of pasture fencing and 100 feet of picket fencing for a total of $2,600. The next week, at the same price, the fencing company sold 1,300 feet of pasture fencing and 350 feet of picket fencing for a total cost of $8,750. Find the cost per foot of the picket fencing.

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