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The value of an uncirculated​ 'Mint State-65' 1950 Jefferson nickel minted in Denver is 4/3 the value a 1945 nickel minted in Philadelphia in similar condition. Together the total value of the two coins is​ $49. What is the value of each​ coin?

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Answer: The value of an uncirculated nickel minted in Philadelphia is $21. The value is $28 in Denver.

Step-by-step explanation:

This can be solved by deriving two expressions from the information in the question. These two expressions can be intersected and solved.

Let the value of an uncirculated nickel minted in Philadelphia be x.

Let the value or an uncirculated nickel minted in Denver be 4/3x.

x+4/3x = $49

7/3x = $49

x = $21

Therefore 4/3x = 4/3×$21 = $28.