the value of an uncirculated Mint State65 1950 Jefferson nic

the value of an uncirculated \'Mint State-65\' 1950 Jefferson nickel minted in Denver is 7/5 the value a 1945 nickel minted in Philadelphia in similar condition. together the value of the two coins is $96. what is the value of each coin?
what is the value of the 1945 nickel?
$
what is the value of the 1950 nickel?
$

Solution

Let the value of 1945 nickel minted in Philadelphia be =x
The value of the 1950 Jefferson nickle minted in Denver = y= 7x/5
We know that x+ y= 96
x+7x/5 =96 so 12x/5=96
Hence x=96*5/12 = 8*5=40 $
So x=40, y=7x/5= 7*40/5 = 7*8=56$
Thus the value of 1945 nickle mintred in Philadelphia = 40$ and
The value of 1950 Mint State-65 Jefferson nickled minted in Denver = 56$