The value of an uncirculated 'Mint State - 65' 1950 Jefferson nickel minted in Denver is 8/5 the value of a 1945 nickel minted in Philadelphia in a similar condition. Together the total value of the two coins is $78. What is the value of each coin?

Question

matt101 · Answer

Let x be the value of the Philadelphia nickel. Therefore (8/5)x is the value of the Denver nickel.

x + (8/5)x = 78
(13/5)x = 78
x = 30

(8/5)x = (8/5)(30) = 48

The Philadelphia nickel is worth $30, and the the Denver nickel is worth $48.

anonymous · Answer

so would philadelphia be the 1945 nickel or the 1950 nickel ?

matt101 · Answer

'Mint State - 65' 1950 Jefferson nickel minted in Denver
1945 nickel minted in Philadelphia

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