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jmc

algebra intermediate

Problem

Eight pounds of feathers and two ounces of gold together cost \932\. What is the cost of five pounds of feathers and five ounces of gold?
Solution
Let be the cost of a pound of feathers and the cost of an ounce of gold. We have Solving the first equation for we get . Substituting into the second equation, we solve to find . Substituting into we have . Thus five pounds of feathers and five ounces of gold costs dollars.
Final answer
2300