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Alloy Mixture Word Problem Solver: Example
See more Alloy and Mixture Word Problem Examples solved by the Algebra Word Problem Solver.
- Solving Mixtures with Different Ingredients and Costs Word Problems
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What You Enter
A given alloy contains 20% copper and 5% tin. How many pounds of copper and of tin must be melted with 100 pounds of the given alloy to produce another alloy analyzing 30% copper and 10% tin.
What You Get
Let C = Number of Pounds of Copper Let T = Number of Pounds of Tin 0.2*100 + C = 0.3(100 + C + T) // Copper 0.05*100 + T = 0.1(100 + C + T) // Tin 20 + C = 30 + 0.3C + 0.3T // Copper 5 + T = 10 + 0.1C + 0.1T // Tin 0.7C = 10 + 0.3T // Copper 0.9T = 5 + 0.1C // Tin C = 14.2857 + 0.428571T 0.9T = 5 + 1.42857 + 0.0428571T 0.857143T = 6.42857 T = 7.5 C = 17.5
Solution:T = 7.5 and C = 17.5
