A gift store is making a mixture of almonds, pecans, and peanuts, which sell for $2.50 per pound, $4.00 per pound, and $1.00 per pound, respectively. The storekeeper wants to make 20 pounds of the mix to sell at $1.90 per pound. The number of pounds of peanuts is to be three times the number of pounds of pecans. Find the number of pounds of each to be used in the mixture. Please enter your answer as an ordered triple ( x , y , z ), where x , y , z are the numbers of pounds of almonds, pecans, and peanuts, respectively.
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