# Coin Value Comparison - 1950 Jefferson Nickle vs 1945 Nickle

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

### Comments for Coin Value Comparison - 1950 Jefferson Nickle vs 1945 Nickle

 Jun 11, 2012 Coin Value Comparison by: Staff Answer: x = value of an uncirculated 'Mint State-65' 1950 Jefferson nickel minted in Denver y = value of a 1945 nickel minted in Philadelphia -------------------------- Two equations – two unknowns Together the total value of the two coins is \$65. 1st equation: x + y = 65 The value of an uncirculated 'Mint State-65' 1950 Jefferson nickel minted in Denver is 8/5 the value a 1945 nickel minted in Philadelphia 2nd equation: x = (8/5)*y -------------------------- x + y = 65 x = (8/5)*y Replace the x in the 1st equation with (8/5)*y (8/5)*y + y = 65 Solve for y (8/5)*y + y = 65 Multiply each side of the equation by 5 5 * [(8/5)*y + y] = 5 * 65 The distributive law to remove the parentheses on the left side of the equation 5 * (8/5)*y + 5 * y = 5 * 65 8 * (5/5)*y + 5 * y = 5 * 65 8 * (1)*y + 5 * y = 5 * 65 8 * y + 5 * y = 5 * 65 8y + 5y = 325 Combine like terms 13y = 325 Divide each side of the equation by 13 13y / 13 = 325 / 13 y * (13 / 13) = (325 / 13) y * (1) = (325 / 13) y = (325 / 13) y = 25 Calculate x by replacing y in the 2nd equation with 25 x = (8/5)*y x = (8/5)*25 x = 40 >>> the final answer is: x = \$40 y = \$25 Thanks for writing. Staff www.solving-math-problems.com

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