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How many pounds of 80 cent nuts and how many pounds of 50 cent nuts must a dealer use to produce a mixture of 90 pounds to sell at 75 cents per pound?
Wiki User
∙ 12y ago
75 pounds of the 80 cent nuts and 15 of the 50 cent nuts.
Wiki User
∙ 8y ago
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If you bought 9 pounds of dog food at 57 cents per pound how much did it cost?
5.13
How many pounds of 75 cent candy and 1.25 cent candy must be mixed to create a mixture of 9 pounds costing 96 cents per pound?
Let x = pounds of $0.75 candy, and let y = pounds of $1.25 candy. From the question, we know the total pounds must equal 9, and the total price should be 9 pounds at $0.96 per pound. Thus the total price should be 9*0.96 = $8.64. We can form two equations; one for total pounds, and one for total price: x+y = 9 0.75x+1.25y = 8.64 Solve for x in the first equation: x = 9-y Plug that into the second equation for x: 0.75(9-y) +1.25y = 8.64 Simplify: 6.75 - 0.75y + 1.25y = 8.64 More: 6.75 + 0.5y = 8.64 More: 0.5y = 1.89 Divide both sides by 0.5: y = 3.78 Plug that into the first equation: x + 3.78 = 9 Solve for x: x = 5.22 Thus, we need 5.22 pounds of $0.75 candy and 3.78 pounds of $1.25 candy.
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