The Britle Bird Store prepares bird-seed blends by mixing sunflower seeds and millet and packaging them in 5 -pound bags for sale. Sunflower seed \( (s) \) is regularly sold for \( \$ 1.75 \) per pound, and millet \( (\mathrm{m}) \) is sold for \( \$ 2 \),50 per pound. The mixture is sold Ior \( \$ 11.60 \), Which system of equations can be used to find the number of pounds of each type of seed in the mixture?
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To create a model for the number of pounds of sunflower seeds (s) and millet (m) in the 5-pound mix, we can set up a system of equations. The first equation reflects the total weight: \( s + m = 5 \). The second equation accounts for the total cost of the mix, where \( 1.75s \) is the cost of the sunflower seeds and \( 2.50m \) is the cost of the millet: \( 1.75s + 2.50m = 11.60 \). So, we have: 1. \( s + m = 5 \) 2. \( 1.75s + 2.50m = 11.60 \) This system of equations will allow you to find the exact amounts of sunflower seeds and millet in the mixture. Solving this system will reveal how much of each seed is in the mix, providing insight into the cost and composition of your bird seed blend!